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

Authors: Mikihiro Fujii, Keiichi Watanabe

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

Subject Terms: 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)

File Description: application/xml

Access URL: http://arxiv.org/abs/2411.02191

Spectral convergence in large finite resonator arrays: The essential spectrum and band structure: Spectral convergence in large finite resonator arrays: the essential spectrum and band structure

Authors: Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen

Source: Bulletin of the London Mathematical Society, 57 (3)

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Asymptotic distributions of eigenvalues in context of PDEs, FOS: Physical sciences, Mathematical Physics (math-ph), 02 engineering and technology, 01 natural sciences, Asymptotic expansions of solutions to PDEs, system of coupled resonators in a truncated periodic lattice, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Spectral Theory (math.SP), Mathematical Physics, Analysis of PDEs (math.AP)

File Description: application/xml; application/application/pdf

Access URL: http://arxiv.org/abs/2305.16788
https://zbmath.org/8011918
https://doi.org/10.1112/blms.13225
http://hdl.handle.net/20.500.11850/728037

The enriched multinode Shepard collocation method for solving elliptic problems with singularities

Authors: Dell'Accio F., Di Tommaso F., Francomano E.

Source: Applied Numerical Mathematics. 205:87-100

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, approximation by rational functions, multinode Shepard method, Elliptic PDEs, elliptic PDEs, Asymptotic expansions of solutions to PDEs, Approximation by rational functions, Motz problem, Approximation by polynomials, collocation method, Numerical interpolation, Multinode Shepard method, Spectral, collocation and related methods for boundary value problems involving PDEs, Collocation method

File Description: application/xml

Chien-physics-informed neural networks for solving singularly perturbed boundary-layer problems

Authors: Wang, Long, Zhang, Lei, He, Guowei

Source: Applied Mathematics and Mechanics. 45:1467-1480

Subject Terms: physics-informed neural network (PINN), 0103 physical sciences, Singular perturbations for ordinary differential equations, 0101 mathematics, boundary-layer problem, Theoretical approximation in context of PDEs, singular perturbation, composite asymptotic expansion, 01 natural sciences, Asymptotic expansions of solutions to PDEs, Singular perturbations in context of PDEs, Artificial neural networks and deep learning

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Soliton resolution for the modified short pulse equation with the weighted Sobolev initial data

Authors: Feiying Yan, Jia Wang, Yihao Li, Xianguo Geng

Source: Analysis and Applications. 23:401-446

Subject Terms: Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems, Asymptotic approximations, asymptotic expansions (steepest descent, etc.), \(\partial\)-steepest descent method, Asymptotic behavior of solutions to PDEs, Lasers, masers, optical bistability, nonlinear optics, modified short pulse equation, 01 natural sciences, Asymptotic expansions of solutions to PDEs, Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Soliton solutions, soliton resolution, Riemann-Hilbert problems in context of PDEs, long-time asymptotics, 0101 mathematics

File Description: application/xml

Access URL: https://zbmath.org/8018132
https://doi.org/10.1142/s0219530524500349

On Ventcel transmission conditions for a Helmholtz problem with a high contrast thin ring

Authors: Khaled El-Ghaouti Boutarene

Source: Rendiconti del Circolo Matematico di Palermo Series 2. 74

Subject Terms: Ventcel transmission conditions, thin layer, asymptotic analysis, Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Boundary value problems for second-order elliptic equations, Asymptotic behavior of solutions to PDEs, Asymptotic analysis in optics and electromagnetic theory, Helmholtz equation, Elliptic equations and elliptic systems, Asymptotic expansions of solutions to PDEs

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Access URL: https://zbmath.org/8037011
https://doi.org/10.1007/s12215-025-01230-8

First Hitting Time of a One-Dimensional Lévy Flight to Small Targets: First hitting time of a one-dimensional Lévy flight to small targets

Authors: Daniel Gomez, Sean D. Lawley

Source: SIAM Journal on Applied Mathematics. 84:1140-1162

Subject Terms: first hitting times, Lévy flight, Statistical Mechanics (cond-mat.stat-mech), Biochemistry, molecular biology, Probability (math.PR), FOS: Physical sciences, Fractional partial differential equations, Asymptotic expansions of solutions to PDEs, 35B25, 60K50, 35R11, asymptotic analysis, Mathematics - Analysis of PDEs, anomalous diffusion, fractional differential equation, FOS: Mathematics, Diffusion processes, Condensed Matter - Statistical Mechanics, Mathematics - Probability, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2307.06274

Nonlinear Subwavelength Resonances in Three Dimensions: Nonlinear subwavelength resonances in three dimensions

Authors: Habib Ammari, Thea Kosche

Source: Studies in Applied Mathematics, 154 (3)

Subject Terms: Wave scattering in solid mechanics, Semilinear elliptic equations, capacitance matrix formalism, cubic nonlinear Helmholtz equation, nonlinearity-induced eigenmode, nonlinear subwavelength physics, nonlinear subwavelength resonance, FOS: Physical sciences, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Mathematical Physics (math-ph), 35P30, 35C20, 74J20, Asymptotic expansions of solutions to PDEs, Resonance in context of PDEs, Mathematical Physics

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Access URL: http://arxiv.org/abs/2410.21173
https://zbmath.org/8023770
https://doi.org/10.1111/sapm.70036
http://hdl.handle.net/20.500.11850/728224

Local controllability of the Korteweg-de Vries equation with the right Dirichlet control

Authors: Hoai-Minh Nguyen

Source: Journal of Differential Equations. 435:113235

Subject Terms: Controllability, power series expansion, Observability, Control/observation systems governed by partial differential equations, unreachable space, controllability, 01 natural sciences, Asymptotic expansions of solutions to PDEs, Hilbert uniqueness method, Mathematics - Analysis of PDEs, KdV equations (Korteweg-de Vries equations), Optimization and Control (math.OC), FOS: Mathematics, KdV equations, 0101 mathematics, Mathematics - Optimization and Control, critical lengths, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2302.06237

Sloshing, Steklov and corners: Asymptotics of Steklov eigenvalues for curvilinear polygons: Sloshing, Steklov and corners: asymptotics of Steklov eigenvalues for curvilinear polygons

Authors: Levitin, Michael, Parnovski, Leonid, Polterovich, Iosif, Sher, David A

Source: Proceedings of the London Mathematical Society. 125:359-487

Subject Terms: OPERATORS, Science & Technology, DOMAINS, SPECTRAL GEOMETRY, Boundary value problems on graphs and networks for ordinary differential equations, Asymptotic distributions of eigenvalues in context of PDEs, 35P20, 34B45, FREQUENCY, 01 natural sciences, Asymptotic expansions of solutions to PDEs, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, SHORT SURFACE-WAVES, Boundary value problems for second-order elliptic equations, QUANTUM GRAPHS, DEPENDENCE, Physical Sciences, quasi-eigenvalues, EQUATION, FOS: Mathematics, explicit construction of quasimodes, 0101 mathematics, Spectral Theory (math.SP), Mathematics, Analysis of PDEs (math.AP)

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/1908.06455
https://zbmath.org/7740395
https://doi.org/10.1112/plms.12461
https://discovery-pp.ucl.ac.uk/id/eprint/10151388/

Some new decay properties of solutions for a modified Camassa–Holm equation with cubic nonlinearity: Some new decay properties of solutions for a modified Camassa-Holm equation with cubic nonlinearity

Authors: Xinglong Wu, Xin Zhang, Yanan Liu

Source: Journal of Mathematical Physics. 65

Subject Terms: Soliton equations, Asymptotic behavior of solutions to PDEs, 0103 physical sciences, 0101 mathematics, PDEs in connection with fluid mechanics, 01 natural sciences, Asymptotic expansions of solutions to PDEs

File Description: application/xml

Access URL: https://zbmath.org/7801165
https://doi.org/10.1063/5.0174902

On a Benney–Luke Type Differential Equation with Nonlinear Boundary Value Conditions: On a Benney-Luke type differential equation with nonlinear boundary value conditions

Authors: Yuldashev, T. K., Rakhmonov, F. D.

Source: Lobachevskii Journal of Mathematics. 42:3761-3772

Subject Terms: regular solvability, Initial-boundary value problems for linear higher-order PDEs, absolute and uniform convergence, nonlinear integral conditions, Benney-Luke type differential equation, Fourier method, 0101 mathematics, 01 natural sciences, Asymptotic expansions of solutions to PDEs

File Description: application/xml

Access URL: https://zbmath.org/7503357
https://doi.org/10.1134/s1995080222030210

Ventcel-type Transmission Conditions for the Scattering of a Time-harmonic Wave Problem with Accuracy up to Order $3$: Ventcel-type transmission conditions for the scattering of a time-harmonic wave problem with accuracy up to order 3

Authors: Boutarene, Khaled El-Ghaouti, Galleze, Sami

Source: Taiwanese Journal of Mathematics. 27

Subject Terms: thin layer, asymptotic analysis, Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Boundary value problems for second-order elliptic equations, Asymptotic behavior of solutions to PDEs, Asymptotic analysis in optics and electromagnetic theory, Ventcel-type transmission conditions, Scattering theory for PDEs, Helmholtz equation, 0101 mathematics, 01 natural sciences, Asymptotic expansions of solutions to PDEs

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Asymptotic analysis at any order of Helmholtz's problem in a corner with a thin layer: an algebraic approach ; Analyse asymptotique à tout ordre du problème de Helmholtz dans un coin avec une couche mince : une approche algébrique

Authors: Baudet, Cédric

Contributors: Propagation des Ondes : Étude Mathématique et Simulation (POEMS), Unité de Mathématiques Appliquées (UMA), École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de l'Institut Polytechnique de Paris, Centre Inria de Saclay, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre Inria de Saclay, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)

Source: https://hal.science/hal-04582276 ; 2024.

Subject Terms: Asymptotic analysis, Helmholtz's equation, Matched asymptotic expansions, Corner singularities, Algebraic formal series, Analyse asymptotique, Equation de Helmholtz, Développements asymptotique raccordées, Singularités de coin, Séries formelles, MSC: 35C20 (asymptotic expansions of solutions to PDEs), 35J05 (singularity in context of PDEs), 35A21 (Laplace operator, Helmholtz equation), [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

Availability: https://hal.science/hal-04582276
https://hal.science/hal-04582276v1/document
https://hal.science/hal-04582276v1/file/article_2024_05.pdf

Enhanced microscale hydrodynamic near-cloaking using electro-osmosis

Authors: Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng

Source: Inverse Problems. 40:105008

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, near-cloaking, Perturbations in context of PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, Other free boundary flows, Hele-Shaw flows, Electro- and magnetostatics, boundary perturbation, 01 natural sciences, Asymptotic expansions of solutions to PDEs, confocal ellipses, Mathematics - Analysis of PDEs, 0103 physical sciences, FOS: Mathematics, Magnetohydrodynamics and electrohydrodynamics, microscale hydrodynamic, 0101 mathematics, Flow control and optimization for incompressible viscous fluids, Finite element methods applied to problems in fluid mechanics, electro-osmosis, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2310.14635

How Receptor Surface Diffusion and Cell Rotation Increase Association Rates: How receptor surface diffusion and cell rotation increase association rates

Authors: Sean D. Lawley, Christopher E. Miles

Source: SIAM Journal on Applied Mathematics. 79:1124-1146

Subject Terms: 0301 basic medicine, Cell biology, asymptotic analysis, 03 medical and health sciences, Stochastic partial differential equations (aspects of stochastic analysis), reaction rates, 0103 physical sciences, lateral diffusion, PDEs with randomness, stochastic partial differential equations, stochastic PDE, 01 natural sciences, Asymptotic expansions of solutions to PDEs

File Description: application/xml

Access URL: https://zbmath.org/7098112
https://doi.org/10.1137/18m1217188
https://epubs.siam.org/doi/abs/10.1137/18M1217188
https://dblp.uni-trier.de/db/journals/siamam/siamam79.html#LawleyM19

Diffusion maps for embedded manifolds with boundary with applications to PDEs

Authors: Ryan Vaughn, Tyrus Berry, Harbir Antil

Source: Applied and Computational Harmonic Analysis. 68:101593

Subject Terms: Bifurcations in context of PDEs, Diffusion processes and stochastic analysis on manifolds, heat equation, Numerical solutions to equations with nonlinear operators, Asymptotic behavior of solutions to PDEs, Heat equation, Numerical methods for partial differential equations, boundary value problems, boundary detection, Learning and adaptive systems in artificial intelligence, Numerical Analysis (math.NA), Stability and convergence of numerical methods for boundary value problems involving PDEs, 01 natural sciences, Asymptotic expansions of solutions to PDEs, Density estimation, Riemannian manifolds, Mathematics - Analysis of PDEs, PDEs on manifolds, Numerical integration, partial differential equations, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, mesh-free, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/1912.01391

Effective Medium Theory for Van-Der-Waals Heterostructures: Effective medium theory for Van-der-Waals heterostructures

Authors: Xinlin Cao, Ahcene Ghandriche, Mourad Sini

Source: Journal of Differential Equations. 433:113260

Subject Terms: Mathematics - Analysis of PDEs, Maxwell equations, effective medium theory, Van-der-Waals heterostructures, Integral representations of solutions to PDEs, FOS: Mathematics, Maxwell system, PDEs in connection with optics and electromagnetic theory, Asymptotic expansions of solutions to PDEs, dielectric nano-particles, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2404.11859
https://zbmath.org/8031078
https://doi.org/10.1016/j.jde.2025.113260

Boundary Homogenization and Capture Time Distributions of Semipermeable Membranes with Periodic Patterns of Reactive Sites: Boundary homogenization and capture time distributions of semipermeable membranes with periodic patterns of reactive sites

Authors: Andrew J. Bernoff, Alan E. Lindsay, Daniel D. Schmidt

Source: Multiscale Modeling & Simulation. 16:1411-1447

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, 0103 physical sciences, Berg-Purcell, Monte Carlo methods, Brownian motion, 16. Peace & justice, Homogenization in context of PDEs, PDEs in media with periodic structure, Green's functions for elliptic equations, 01 natural sciences, Asymptotic expansions of solutions to PDEs, high-order asymptotic estimates, Singular perturbations in context of PDEs, 3. Good health

File Description: application/xml

Access URL: https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2161&context=hmc_fac_pub
https://epubs.siam.org/doi/abs/10.1137/17M1162512
https://scholarship.claremont.edu/hmc_fac_pub/1155/
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2161&context=hmc_fac_pub

Full and Partial Cloaking in Electromagnetic Scattering: Full and partial cloaking in electromagnetic scattering

Authors: Gunther Uhlmann, Youjun Deng, Hongyu Liu

Source: Archive for Rational Mechanics and Analysis. 223:265-299

Subject Terms: cloaking, Asymptotic behavior of solutions to PDEs, FOS: Physical sciences, Mathematical Physics (math-ph), asymptotic estimates, Asymptotic expansions of solutions to PDEs, Blow-up in context of PDEs, Mathematics - Analysis of PDEs, electromagnetic scattering, Scattering theory for PDEs, FOS: Mathematics, PDEs in connection with optics and electromagnetic theory, Mathematical Physics, Diffraction, scattering, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/pdf/1509.01336
http://arxiv.org/abs/1509.01336
https://zbmath.org/6688562
https://doi.org/10.1007/s00205-016-1035-6
https://link.springer.com/article/10.1007/s00205-016-1035-6
https://scholars.hkbu.edu.hk/en/publications/full-and-partial-cloaking-in-electromagnetic-scattering
https://ui.adsabs.harvard.edu/abs/2017ArRMA.223..265D/abstract
http://repository.ust.hk/ir/Record/1783.1-83361
https://arxiv.org/pdf/1509.01336
https://arxiv.org/abs/1509.01336
https://arxiv.org/pdf/1509.01336.pdf