Stabilization by transport noise and enhanced dissipation in the Kraichnan model

Authors: Benjamin Gess, Ivan Yaroslavtsev

Source: Journal of Evolution Equations. 25

Subject Terms: Diffusion processes and stochastic analysis on manifolds, Stabilization by noise, Gaussian processes, stochastic flow, Dynamical Systems (math.DS), 01 natural sciences, dynamical system, Incompressible, Mathematics - Analysis of PDEs, Stochastic partial differential equations (aspects of stochastic analysis), Stochastic flow, Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents, Lyapunov and storage functions, Stochastic analysis applied to problems in fluid mechanics, FOS: Mathematics, isotropic flow, Mathematics - Dynamical Systems, 0101 mathematics, Kraichnan model, Lyapunov function, ski conjecture, incompressible, Probability (math.PR), Dynamical system, stabilization by noise, Isotropic flow, Capi & nacute, Capiński conjecture, 37H15 Secondary: 58J65, 60G15, 60H15, 76M35, 93D30, Lyapunov exponent, Mathematics - Probability, Analysis of PDEs (math.AP)

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2104.03949
https://zbmath.org/8035736
https://doi.org/10.1007/s00028-025-01066-w
https://pub.uni-bielefeld.de/record/3003359
https://doi.org/10.1007/s00028-025-01066-w

Kinetic modelling of rarefied gas mixtures with disparate mass in strong non-equilibrium flows

Authors: Qi Li, Jianan Zeng, Lei Wu

Source: Journal of Fluid Mechanics. 1001

Subject Terms: Diffusion, Rarefied gas flows, Boltzmann equation in fluid mechanics, 0103 physical sciences, Stochastic analysis applied to problems in fluid mechanics, Kinetic theory of gases in time-dependent statistical mechanics, shear viscosity, thermal conductivity, thermal diffusion, monatomic gas mixture, direct simulation Monte Carlo method, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7965674
https://doi.org/10.1017/jfm.2024.1047

uniGasFoam: A particle-based OpenFOAM solver for multiscale rarefied gas flows: uniGasFoam: a particle-based OpenFOAM solver for multiscale rarefied gas flows

Authors: N. Vasileiadis, G. Tatsios, C. White, D.A. Lockerby, M.K. Borg, L. Gibelli

Source: Computer Physics Communications. 310:109532

Subject Terms: Rarefied gas flows, Boltzmann equation in fluid mechanics, Stochastic analysis applied to problems in fluid mechanics, hybrid hybrid continuum-particle solver, Fluid Dynamics (physics.flu-dyn), Particle methods and lattice-gas methods, FOS: Physical sciences, Basic methods in fluid mechanics, finite volume method, adaptive global time stepping, Physics - Fluid Dynamics, direct simulation Monte Carlo method, non-uniform cell weighting

File Description: application/xml

Access URL: http://arxiv.org/abs/2409.10288
https://zbmath.org/8020987
https://doi.org/10.1016/j.cpc.2025.109532

Probabilistic eddy identification with uncertainty quantification

Authors: Jeffrey Covington, Nan Chen, Stephen Wiggins, Evelyn Lunasin

Source: Physica D: Nonlinear Phenomena. 473:134542

Subject Terms: Hydrology, hydrography, oceanography, Geophysical flows, Glaciology, Beaufort Gyre marginal ice zone, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Dynamical Systems (math.DS), Physics - Atmospheric and Oceanic Physics, Okubo-Weiss parameter, 13. Climate action, sparse ice floe trajectory, Atmospheric and Oceanic Physics (physics.ao-ph), Stochastic analysis applied to problems in fluid mechanics, FOS: Mathematics, probabilistic state estimation, 14. Life underwater, Mathematics - Dynamical Systems, Lagrangian data assimilation

File Description: application/xml

Access URL: http://arxiv.org/abs/2405.12342
https://zbmath.org/8021320
https://doi.org/10.1016/j.physd.2025.134542

An ergodic theorem with weights and applications to random measures, homogenization and hydrodynamics

Authors: Alessandra Faggionato

Source: Stochastic Processes and their Applications. 180:104522

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Ergodic theorems, spectral theory, Markov operators, quenched hydrodynamic limit, Homogenization applied to problems in fluid mechanics, stochastic homogenization, Dynamical aspects of measure-preserving transformations, Stochastic analysis applied to problems in fluid mechanics, multidimensional ergodic theorem, Processes in random environments, Point processes (e.g., Poisson, Cox, Hawkes processes), ergodic theorems, random measures, stochastic homogenization

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Access URL: https://zbmath.org/7962236
https://doi.org/10.1016/j.spa.2024.104522
https://hdl.handle.net/11573/1746255

Bayesian calibration for large‐scale fluid structure interaction problems under embedded/immersed boundary framework: Bayesian calibration for large-scale fluid structure interaction problems under embedded/immersed boundary framework

Authors: Cao, Shunxiang, Huang, Daniel Zhengyu

Source: International Journal for Numerical Methods in Engineering. 123:1791-1812

Subject Terms: derivative-free optimization, Numerical Analysis, uncertainty quantification, Applied Mathematics, Transonic flows, Bayesian calibration, General Engineering, fluid-structure interaction, Gas dynamics (general theory), Numerical Analysis (math.NA), 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), 0103 physical sciences, Stochastic analysis applied to problems in fluid mechanics, FOS: Mathematics, Mathematics - Numerical Analysis, embedded/immersed boundary method

File Description: application/xml

Access URL: http://arxiv.org/pdf/2105.09497
http://arxiv.org/abs/2105.09497

Well-Posedness of Solutions to Stochastic Fluid–Structure Interaction: Well-posedness of solutions to stochastic fluid-structure interaction

Authors: Jeffrey Kuan, Sunčica Čanić

Source: Journal of Mathematical Fluid Mechanics. 26

Subject Terms: uniform energy estimate, Probability (math.PR), Stokes equations, weak compactness argument, 01 natural sciences, Stokes and related (Oseen, etc.) flows, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Statistical solutions of Navier-Stokes and related equations, Mathematics - Analysis of PDEs, Stochastic analysis applied to problems in fluid mechanics, FOS: Mathematics, robust solution, solution existence, Navier-Stokes equations, 0101 mathematics, Mathematics - Probability, stochastic noise, Skorohod representation theorem, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2203.16109

Impact and penetration dynamics of inkjet droplet within paper-like fibrous substrate by mesoscopic modeling

Authors: Li Liu, Jie Chen, Li Pengpeng, Lei Zhang, Zhongshang Jin

Source: Computational Mechanics. 66:391-404

Subject Terms: random-walk-based stochastic model, lattice Boltzmann model, penetration rate, Random structure in solid mechanics, Flows in porous media, filtration, seepage, 0103 physical sciences, Stochastic analysis applied to problems in fluid mechanics, Particle methods and lattice-gas methods, fibrous substrate, 01 natural sciences

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/2020CompM..66..391Z/abstract
https://link.springer.com/article/10.1007/s00466-020-01856-8

Global dynamics of a pipe conveying pulsating fluid in primary parametrical resonance: Analytical and numerical results from the nonlinear wave equation: Global dynamics of a pipe conveying pulsating fluid in primary parametrical resonance: analytical and numerical results from the nonlinear wave equation

Authors: Qiliang Wu, Guoyuan Qi

Source: Physics Letters A. 383:1555-1562

Subject Terms: chaotic dynamics, primary parametrical resonance, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, 0103 physical sciences, Stochastic analysis applied to problems in fluid mechanics, Melnikov method, pipe conveying pulsating fluid, nonlinear wave, 01 natural sciences, geometric analysis

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2019PhLA..383.1555W/abstract
https://www.sciencedirect.com/science/article/pii/S0375960119301525

An Extended SORA Method for Hybrid Reliability-Based Design Optimization: An extended SORA method for hybrid reliability-based design optimization

Authors: Tian, Wanyi, Chen, Weiwei, Wang, Zhonghua, Ni, Bingyu

Source: International Journal of Computational Methods. 19

Subject Terms: 0209 industrial biotechnology, 0203 mechanical engineering, Stochastic analysis applied to problems in fluid mechanics, Stochastic and other probabilistic methods applied to problems in solid mechanics, imprecise probabilities, 02 engineering and technology, sequential optimization and reliability assessment (SORA), probability-interval hybrid uncertainty, reliability-based design optimization (RBDO)

File Description: application/xml

Access URL: https://zbmath.org/7547375
https://doi.org/10.1142/s0219876221500742

A Nonintrusive Reduced-Order Model for Uncertainty Quantification in Numerical Solution of One-Dimensional Free-Surface Water Flows Over Stochastic Beds: A nonintrusive reduced-order model for uncertainty quantification in numerical solution of one-dimensional free-surface water flows over stochastic beds

Authors: Alghosoun, Alia, El Mocayd, Nabil, Seaid, Mohammed

Source: International Journal of Computational Methods. 19

Subject Terms: polynomial chaos expansion, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, proper orthogonal decomposition, shallow water equations, finite volume methods, uncertainty quantification, stochastic beds, Stochastic analysis applied to problems in fluid mechanics, Finite volume methods applied to problems in fluid mechanics, 0101 mathematics, 01 natural sciences

File Description: application/xml

Goal-oriented error control of stochastic system approximations using metric-based anisotropic adaptations

Authors: Langenhove, Jan Van, Lucor, Didier, Alauzet, Frédéric, Belme, Anca

Contributors: Lucor, Didier, Institut Jean Le Rond d'Alembert (DALEMBERT), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI), Université Paris-Sud - Paris 11 (UP11)-Sorbonne Université - UFR d'Ingénierie (UFR 919), Sorbonne Université (SU)-Sorbonne Université (SU)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Université Paris Saclay (COmUE), Automatic mesh generation and advanced methods (Gamma3 ), Institut Charles Delaunay (ICD), Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS)-Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Fluides Complexes et Instabilités Hydrodynamiques (IJLRDA-FCIH), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)

Source: Journal of Computational Physics
Journal of Computational Physics, 2018, 374, pp.384-412

Subject Terms: [MATH.MATH-PR] Mathematics [math]/Probability [math.PR], uncertainty quantification, FOS: Physical sciences, [SPI.MECA.MEFL] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], Gas dynamics (general theory), Physics - Classical Physics, Adjoint, 01 natural sciences, [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], simplex stochastic collocation, Riemannian metric, 0103 physical sciences, Euler flows, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, Stochastic analysis applied to problems in fluid mechanics, FOS: Mathematics, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 0101 mathematics, Uncertainty quantification, anisotropic mesh adaptation, adjoint, Simplex, Probability (math.PR), Anisotropic, Stochastic error estimation, Classical Physics (physics.class-ph), Numerical Analysis (math.NA), [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], Error bounds for initial value and initial-boundary value problems involving PDEs, error estimation, Mesh adaptation, [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, Mathematics - Probability

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Access URL: http://arxiv.org/pdf/1805.00370
http://arxiv.org/abs/1805.00370
https://zbmath.org/7077088
https://doi.org/10.1016/j.jcp.2018.07.044
https://hal.inria.fr/hal-01703054
https://www.sciencedirect.com/science/article/pii/S0021999118305059
https://dblp.uni-trier.de/db/journals/jcphy/jcphy374.html#LangenhoveLAB18
http://ui.adsabs.harvard.edu/abs/2018JCoPh.374..384V/abstract
https://hal.archives-ouvertes.fr/hal-01703054
https://arxiv.org/pdf/1805.00370.pdf
https://inria.hal.science/hal-01703054/file/paper.pdf
https://inria.hal.science/hal-01703054/document
https://inria.hal.science/hal-01703054

Probabilistic analysis of singularities for the 3D Navier-Stokes equations: Probabilistic analysis of singularities for the 3D Navier-Stokes equations.

Authors: FLANDOLI, FRANCO, ROMITO, MARCO

Source: Mathematica Bohemica. 127:211-218

Subject Terms: Statistical solutions of Navier-Stokes and related equations, singularities, Navier-Stokes equations, Brownian motion, stationary solutions, Stochastic partial differential equations (aspects of stochastic analysis), Stochastic analysis applied to problems in fluid mechanics, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: http://dml.cz/bitstream/handle/10338.dmlcz/134166/MathBohem_127-2002-2_9.pdf
https://eudml.org/doc/249057
http://www.emis.de/journals/MB/127.2/9.html
https://hdl.handle.net/11568/74999
http://www.emis.de/journals/MB/127.2/9.html
https://hdl.handle.net/2158/255840

Non Gaussian and Non Local Transport in the Earth’s Distant Magnetotail: Non-Gaussian and nonlocal transport in the Earth's distant magnetotail

Authors: GRECO, Antonella, ZIMBARDO, Gaetano, VELTRI, Pierluigi, TAKTAKISHVILI A. L., ZELENYI L. M.

Source: Physics of Space: Growth Points and Problems ISBN: 9789401038133

Subject Terms: Ionized gas flow in electromagnetic fields, plasmic flow, Stochastic analysis applied to problems in fluid mechanics, Hydrodynamic and hydromagnetic problems in astronomy and astrophysics, 7. Clean energy

File Description: application/xml

Access URL: https://zbmath.org/1693121
https://doi.org/10.1023/a:1012216602389
http://ui.adsabs.harvard.edu/abs/2001Ap&SS.277...35G/abstract
https://link.springer.com/content/pdf/10.1023/A:1012216602389.pdf
https://link.springer.com/article/10.1023/A:1012216602389
https://rd.springer.com/chapter/10.1007/978-94-010-0904-1_4
https://hdl.handle.net/20.500.11770/137401

A Monte Carlo method to compute the exchange coefficient in the double porosity model: A Monte Carlo method to compute the exchange coefficient in the double porosity model.

Authors: Campillo, Fabien, Lejay, Antoine

Contributors: Campillo, Fabien, Lejay, Antoine, VSP

Source: mcma. 7:65-72

Subject Terms: Diffusion, random walk on squares, [MATH.MATH-PR] Mathematics [math]/Probability [math.PR], double porosity model, [PHYS.PHYS.PHYS-GEO-PH] Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph], Flows in porous media, filtration, seepage, diffusion, Stochastic analysis applied to problems in fluid mechanics, Monte Carlo methods, 0101 mathematics, 01 natural sciences, fissured media, fissured medium

File Description: application/xml; application/pdf

Access URL: https://inria.hal.science/hal-00652117v1
https://inria.hal.science/inria-00101707v1
https://www.degruyter.com/view/journals/mcma/7/1-2/article-p65.xml?language=en
https://hal.inria.fr/hal-00652117
https://econpapers.repec.org/article/bpjmcmeap/v_3a7_3ay_3a2001_3ai_3a1-2_3ap_3a65-72_3an_3a19.htm
https://dblp.uni-trier.de/db/journals/mcma/mcma7.html#CampilloL01
https://ideas.repec.org/a/bpj/mcmeap/v7y2001i1-2p65-72n19.html
https://www.degruyter.com/view/journals/mcma/7/1-2/article-p65.xml

Anomalous dispersion in chemically heterogeneous media induced by long-range disorder correlation

Authors: Diogo Bolster, Marco Dentz

Source: Journal of Fluid Mechanics. 695:366-389

Subject Terms: Hydrology, hydrography, oceanography, mixing and dispersion, porous media, Reaction effects in flows, Flows in porous media, filtration, seepage, 0208 environmental biotechnology, Stochastic analysis applied to problems in fluid mechanics, 0207 environmental engineering, 02 engineering and technology, geophysical and geological flows

File Description: application/xml

Access URL: https://www3.nd.edu/~bolster/Diogo_Bolster/Research_1_-_Hetero_files/44-JFManom.pdf
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/anomalous-dispersion-in-chemically-heterogeneous-media-induced-by-longrange-disorder-correlation/CB8BF17EA0584776DDAB50B354903760
https://ui.adsabs.harvard.edu/abs/2012JFM...695..366B/abstract

Modelling of block-scale macrodispersion as a random function

Authors: Yoram Rubin, Felipe P. J. de Barros

Source: Journal of Fluid Mechanics. :1-32

Subject Terms: Hydrology, hydrography, oceanography, mixing and dispersion, porous media, Flows in porous media, filtration, seepage, 0208 environmental biotechnology, Stochastic analysis applied to problems in fluid mechanics, 0207 environmental engineering, 02 engineering and technology, geophysical and geological flows

File Description: application/xml

Access URL: https://zbmath.org/6046746
https://doi.org/10.1017/jfm.2011.65
http://ui.adsabs.harvard.edu/abs/2011JFM...676..514D/abstract
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/modelling-of-blockscale-macrodispersion-as-a-random-function/801AD6C442C82926CDAB2EF64996B18E

Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder

Authors: Xiaoliang Wan, Daniele Venturi, George Em Karniadakis

Source: Journal of Fluid Mechanics. 606:339-367

Subject Terms: reduced-order stochastic Galerkin models, Statistical solutions of Navier-Stokes and related equations, stochastic Navier-Stokes equations, proper orthogonal decomposition, stationary Gaussian process, 0103 physical sciences, Stochastic analysis applied to problems in fluid mechanics, Wakes and jets, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/5356683
https://doi.org/10.1017/s0022112008001821
http://journals.cambridge.org/abstract_S0022112008001821
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/stochastic-lowdimensional-modelling-of-a-random-laminar-wake-past-a-circular-cylinder/73F08E2A20830C3C0F184DCEF51F9B98
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112008001821
https://ui.adsabs.harvard.edu/abs/2008JFM...606..339V/abstract
https://www.math.lsu.edu/~xlwan/papers/journal/SPOD.pdf

Turbulent rivers

Authors: Birnir, Bjorn

Source: Quarterly of Applied Mathematics. 66:565-594

Subject Terms: turbulent flow, invariant measures, stochastic partial differential equations, Hack's law, 01 natural sciences, Statistical turbulence modeling, Navier-Stokes equation, Turbulence, Statistical solutions of Navier-Stokes and related equations, Stochastic partial differential equations (aspects of stochastic analysis), turbulent solutions, Stochastic analysis applied to problems in fluid mechanics, PDEs with randomness, stochastic partial differential equations, Navier-Stokes equations, ill-posedness, scalings, 0105 earth and related environmental sciences

File Description: application/xml; application/pdf

Access URL: https://www.ams.org/qam/2008-66-03/S0033-569X-08-01123-8/S0033-569X-08-01123-8.pdf
https://zbmath.org/5356820
https://doi.org/10.1090/s0033-569x-08-01123-8
https://escholarship.org/uc/item/5zw4r6sw

The survival probability of a diffusing particle constrained by two moving, absorbing boundaries

Authors: Alan J. Bray, Richard Smith

Source: Journal of Physics A: Mathematical and Theoretical. 40:F235-F241

Subject Terms: Diffusion, trapping reaction, Statistical Mechanics (cond-mat.stat-mech), Probability (math.PR), 0103 physical sciences, Stochastic analysis applied to problems in fluid mechanics, FOS: Mathematics, FOS: Physical sciences, exact asymptotic probability, Brownian motion, 01 natural sciences, Condensed Matter - Statistical Mechanics, Mathematics - Probability

File Description: application/xml

Access URL: http://arxiv.org/pdf/cond-mat/0612563
http://arxiv.org/abs/cond-mat/0612563
https://iopscience.iop.org/article/10.1088/1751-8113/40/10/F02/pdf
http://iopscience.iop.org/article/10.1088/1751-8113/40/10/F02/pdf
http://ui.adsabs.harvard.edu/abs/2007JPhA...40..235B/abstract
https://arxiv.org/abs/cond-mat/0612563
https://arxiv.org/pdf/cond-mat/0612563.pdf