On the global regularity to 3D liquid crystal equations involving one entry of the velocity gradient tensor

Συγγραφείς: Lingling Zhao

Πηγή: Journal of Differential Equations. 426:434-453

Θεματικοί όροι: Liquid crystals, nematic liquid crystal flow, one entry of the velocity gradient tensor, Navier-Stokes equations, regularity criteria, PDEs in connection with fluid mechanics

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Σύνδεσμος πρόσβασης: https://zbmath.org/8016952
https://doi.org/10.1016/j.jde.2025.01.075

Compressible Navier–Stokes–Coriolis system in critical Besov spaces: Compressible Navier-Stokes-Coriolis system in critical Besov spaces

Συγγραφείς: Mikihiro Fujii, Keiichi Watanabe

Πηγή: Journal of Differential Equations. 428:747-795

Θεματικοί όροι: Compressible Navier-Stokes equations, long time solutions, Hydrology, hydrography, oceanography, Geophysical flows, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, General theory of rotating fluids, PDEs in connection with fluid mechanics, PDEs in connection with geophysics, Asymptotic expansions of solutions to PDEs, Strichartz estimates, Navier-Stokes-Coriolis system, Mathematics - Analysis of PDEs, critical Besov spaces, FOS: Mathematics, Weak solutions to PDEs, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2411.02191

Addressing Complex Boundary Conditions of Miscible Flow and Transport in Two and Three Dimensions with Application to Optimal Control: Addressing complex boundary conditions of miscible flow and transport in two and three dimensions with application to optimal control

Συγγραφείς: Yiqun Li, Hong Wang, Xiangcheng Zheng

Πηγή: SIAM Journal on Applied Mathematics. 85:896-915

Θεματικοί όροι: 35K20, 49J20, 49K20, 76S05, advection-diffusion, diffusion-dispersion tensor, Flows in porous media, filtration, seepage, Existence theories for optimal control problems involving partial differential equations, PDEs in connection with fluid mechanics, boundary condition, optimal control, Optimization and Control (math.OC), Initial-boundary value problems for second-order parabolic equations, miscible displacement system, FOS: Mathematics, Optimality conditions for problems involving partial differential equations, Mathematics - Optimization and Control

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2403.14079
https://zbmath.org/8035699
https://doi.org/10.1137/24m1647990

Long Time Interface Dynamics for Gravity Stokes Flow: Long time interface dynamics for gravity Stokes flow

Συγγραφείς: Francisco Gancedo, Rafael Granero-Belinchón, Elena Salguero

Πηγή: SIAM Journal on Mathematical Analysis. 57:1680-1724

Θεματικοί όροι: global-in-time existence and decay, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Stokes flow, Physics - Fluid Dynamics, PDEs in connection with fluid mechanics, 01 natural sciences, Stokes and related (Oseen, etc.) flows, Mathematics - Analysis of PDEs, instabilities, FOS: Mathematics, Stability and instability of nonparallel flows in hydrodynamic stability, interface dynamics, 0101 mathematics, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2211.03437

Investigating neural networks with groundwater flow equation loss

Συγγραφείς: Vincenzo Schiano Di Cola, Vittorio Bauduin, Marco Berardi, Filippo Notarnicola, Salvatore Cuomo

Πηγή: Mathematics and Computers in Simulation. 230:80-93

Θεματικοί όροι: physics-informed neural networks (PINNs), Groundwater flow, Physics-Informed Neural Networks (PINNs), Neural network optimization, Flows in porous media, filtration, seepage, neural network optimization, groundwater flow, PDEs in connection with fluid mechanics, Artificial neural networks and deep learning

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/8031631
https://doi.org/10.1016/j.matcom.2024.10.039

Singular limits of compressible viscous MHD system with vertical magnetic field

Συγγραφείς: Xiao Wang, Xin Xu

Πηγή: Journal of Differential Equations. 425:470-505

Θεματικοί όροι: Compressible Navier-Stokes equations, compressible magnetohydrodynamics, Classical solutions to PDEs, Mach number, Asymptotic behavior of solutions to PDEs, Alfvén number, Magnetohydrodynamics and electrohydrodynamics, Existence problems for PDEs: global existence, local existence, non-existence, singular limits, PDEs in connection with fluid mechanics, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics

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Σύνδεσμος πρόσβασης: https://zbmath.org/8016977
https://doi.org/10.1016/j.jde.2025.01.045

A Robust Shifted Proper Orthogonal Decomposition: Proximal Methods for Decomposing Flows with Multiple Transports: A robust shifted proper orthogonal decomposition: proximal methods for decomposing flows with multiple transports

Συγγραφείς: Philipp Krah, Arthur Marmin, Beata Zorawski, Julius Reiss, Kai Schneider

Πηγή: SIAM Journal on Scientific Computing. 47:A633-A656

Θεματικοί όροι: proper orthogonal decomposition, Applications to the sciences, transport phenomena, Fluid Dynamics (physics.flu-dyn), FOS: Mathematics, vortex shedding, FOS: Physical sciences, forward-backward, Mathematics - Numerical Analysis, Physics - Fluid Dynamics, Numerical Analysis (math.NA), reactive flows, PDEs in connection with fluid mechanics

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2403.04313
https://zbmath.org/8005985
https://doi.org/10.1137/24m164392x

Stability of 2-soliton solutions in the modified Camassa–Holm equation: Stability of 2-soliton solutions in the modified Camassa-Holm equation

Συγγραφείς: Li, Ji, Liu, Yue, Zhu, Guangming

Πηγή: Mathematische Annalen. 392:899-932

Θεματικοί όροι: integrable model, soliton solutions, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, KdV equations (Korteweg-de Vries equations), Soliton solutions, hallow-water waves, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), PDEs in connection with fluid mechanics, Camassa-Holm equation, Solitary waves for incompressible inviscid fluids

Περιγραφή αρχείου: application/xml

Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems: Efficient fully discrete finite element scheme for the ferrohydrodynamic Rosensweig model and simulations of ferrofluid rotational flow problems

Συγγραφείς: Guo-Dong Zhang, Xiaoming He, Xiaofeng Yang

Πηγή: SIAM Journal on Scientific Computing. 47:B28-B58

Θεματικοί όροι: unconditional energy stability, decoupled, second-order, magnetic field, General theory of rotating fluids, PDEs in connection with fluid mechanics, Finite difference methods applied to problems in fluid mechanics, Suspensions, finite element, Magnetohydrodynamics and electrohydrodynamics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics, ferrohydrodynamics

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Analysis of a Multiscale Interface Problem Based on the Coupling of Partial and Ordinary Differential Equations to Model Tissue Perfusion: Analysis of a multiscale interface problem based on the coupling of partial and ordinary differential equations to model tissue perfusion

Συγγραφείς: Lorena Bociu, Matthew Broussard, Giovanna Guidoboni, Sarah Strikwerda

Πηγή: Multiscale Modeling & Simulation. 23:1-24

Θεματικοί όροι: Flows in porous media, filtration, seepage, multiscale interface problem, tissue perfusion, fluid flow through deformable porous media, PDEs in connection with fluid mechanics, Physiological flows, local existence

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Σύνδεσμος πρόσβασης: https://zbmath.org/7973493
https://doi.org/10.1137/23m1628073

A new blowup criterion to the compressible Oldroyd-B model

Συγγραφείς: Wang, Peirong, Li, Jing, Liu, Sili

Πηγή: Communications on Pure and Applied Analysis. 24:1406-1423

Θεματικοί όροι: Blow-up in context of PDEs, strong solution, BMO norm, Non-Newtonian fluids, blowup criterion, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, PDEs in connection with fluid mechanics, Oldroyd-B model

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Mathematics of internal waves in a two-dimensional aquarium

Συγγραφείς: Dyatlov, Semyon, Wang, Jian, Zworski, Maciej

Πηγή: Analysis & PDE. 18:1-92

Θεματικοί όροι: attractor, Internal waves for incompressible inviscid fluids, Spectral methods applied to problems in fluid mechanics, Asymptotic behavior of solutions to PDEs, limiting absorption, internal wave, PDEs in connection with fluid mechanics, stratified fluid

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Σύνδεσμος πρόσβασης: https://zbmath.org/7962295
https://doi.org/10.2140/apde.2025.18.1

The local well-posedness of 2D magneto-micropolar boundary layer equations without resistivity

Συγγραφείς: Tan, Zhong, Zhang, Mingxue

Πηγή: Communications on Pure and Applied Analysis. 24:228-254

Θεματικοί όροι: lower regular Sobolev space, non-resistive magneto-micropolar equations, well-posedness theory, energy method, Magnetohydrodynamics and electrohydrodynamics, Boundary-layer theory, separation and reattachment, higher-order effects, PDEs in connection with fluid mechanics

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Local well-posedness for a higher order Boussinesq type equation

Συγγραφείς: Zhong, Long, Li, Shenghao

Πηγή: Discrete and Continuous Dynamical Systems - B. 30:3625-3645

Θεματικοί όροι: trilinear estimate, local well-posedness, sixth order Boussinesq equation, PDEs in connection with fluid mechanics, Weak solutions to PDEs, bilinear estimate, Initial value problems for nonlinear higher-order PDEs

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Local in time solution to ES-BGK model with correct Prandtl number: Local in time solution to es-BGK model with correct Prandtl number

Συγγραφείς: Son, Sung-Jun, Yun, Seok-Bae

Πηγή: Kinetic and Related Models. 18:499-519

Θεματικοί όροι: Boltzmann equation, Cauchy problem, Rarefied gas flows, Boltzmann equation in fluid mechanics, ellipsoidal BGK model, correct Prandtl number, kinetic theory of gases, BGK model, PDEs in connection with fluid mechanics

Περιγραφή αρχείου: application/xml

Large time behavior of the full compressible Navier-Stokes-Maxwell system with a nonconstant background density

Συγγραφείς: Li, Xin

Πηγή: Journal of Differential Equations. 416:869-896

Θεματικοί όροι: non-constant steady-states, Classical solutions to PDEs, Maxwell equations, Perturbations in context of PDEs, convergence rates, Ionized gas flow in electromagnetic fields, plasmic flow, Magnetohydrodynamics and electrohydrodynamics, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, global classical solutions, PDEs in connection with fluid mechanics, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, full compressible Navier-Stokes-Maxwell system

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Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions: Second-order linear stabilized semi-implicit Crank-Nicolson scheme for the Cahn-Hilliard model with dynamic boundary conditions

Συγγραφείς: Meng, Xiangjun, Bao, Xuelian, Zhang, Zhengru

Πηγή: Communications in Computational Physics. 37:137-170

Θεματικοί όροι: second-order Crank-Nicolson formula, energy stability, reaction rate, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Initial-boundary value problems for higher-order parabolic equations, PDEs in connection with fluid mechanics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, dynamic boundary conditions, Cahn-Hilliard equation, convergence analysis

Περιγραφή αρχείου: application/xml

Global Fujita-Kato solutions to 3D inhomogeneous nematic liquid crystal flows with only bounded density allowing vacuum

Συγγραφείς: Chen, Dongxiang, Liang, Xingyu, Chen, Xiaoli, Ye, Xia

Πηγή: Communications on Pure and Applied Analysis. 24:1538-1565

Θεματικοί όροι: inhomogeneous nematic liquid crystal flows, global existence, critical Sobolev space, uniqueness, PDEs in connection with fluid mechanics, Stability in context of PDEs, Existence, uniqueness, and regularity theory for incompressible viscous fluids

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8035396
https://doi.org/10.3934/cpaa.2025048

Attractors for a Navier–Stokes–Allen–Cahn system with unmatched densities: Attractors for a Navier-Stokes-Allen-Cahn system with unmatched densities

Συγγραφείς: Chunyou Sun, Junyan Tan

Πηγή: Communications in Analysis and Mechanics, Vol 17, Iss 1, Pp 237-262 (2025)

Θεματικοί όροι: two phase flow, singular Flory-Huggins potential, navier–stokes–allen–cahn system, QA801-939, Analytic mechanics, Attractors, Liquid-liquid two component flows, global attractor, Navier-Stokes-Allen-Cahn system, PDEs in connection with fluid mechanics, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, singular flory–huggins potential, dissipativity

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Σύνδεσμος πρόσβασης: https://zbmath.org/8036321
https://doi.org/10.3934/cam.2025010
https://doaj.org/article/a189b570e45b4528879b560c0f4aff5d

Liouville theorem for 3D steady Q-tensor system of liquid crystal

Συγγραφείς: Wan, Mengru, Bie, Qunyi, Hu, Lili

Πηγή: Discrete and Continuous Dynamical Systems - B. 30:3266-3276

Θεματικοί όροι: Q-tensor system of liquid crystal model, mixed local Morrey spaces, PDEs in connection with fluid mechanics, Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs, Function spaces arising in harmonic analysis, Liouville theorem

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Σύνδεσμος πρόσβασης: https://zbmath.org/8036718
https://doi.org/10.3934/dcdsb.2025020