Výsledky vyhľadávania - "Singular perturbations in context of PDEs"

Concentrating Bound States for Singularly Perturbed Nonlinear Dirichlet Problems Involving Critical Growth: Concentrating bound states for singularly perturbed nonlinear Dirichlet problems involving critical growth

Autori: Yi He Jianjun Zhang

Zdroj: SIAM Journal on Mathematical Analysis. 57:1832-1865

Predmety: Variational methods for second-order elliptic equations, concentration, Variational methods applied to PDEs, single-peak solutions, Boundary value problems for second-order elliptic equations, Semilinear elliptic equations, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, distance function, singularly perturbed, Singular perturbations in context of PDEs, Dirichlet problem

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8035707
https://doi.org/10.1137/24m1675898

Rotating spirals in segregated reaction-diffusion systems

Autori: Ariel Salort Susanna Terracini Gianmaria Verzini a ďalší

Zdroj: Analysis & PDE. 18:549-590

Predmety: Computer Networks and Communications, Dirichlet distribution, Mathematical analysis, Quantum mechanics, 01 natural sciences, Mathematics - Analysis of PDEs, Dynamics of Synchronization in Complex Networks, FOS: Mathematics, Scaling Limits, Homogeneous, Initial-boundary value problems for second-order parabolic systems, competition-diffusion systems, 0101 mathematics, singular perturbation, Boundary value problem, Mathematical Physics, Singular perturbations in context of PDEs, Omega, Dirichlet boundary condition, Neumann boundary condition, Scaling Limits of Interacting Particle Systems, Physics, Statistical and Nonlinear Physics, Invariant (physics), 35B25, 35B36, 35K51, 92D25, Population dynamics (general), Reaction-diffusion equations, Physics and Astronomy, Boundary (topology), Combinatorics, Pattern formations in context of PDEs, free boundary problems, Mathematical physics, Computer Science, Physical Sciences, Free boundary problems for PDEs, Characterization of Chaotic Quantum Dynamics and Structures, spiral waves, Mathematics, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2202.10369
https://zbmath.org/8016935
https://doi.org/10.2140/apde.2025.18.549

Numerical treatment of singularly perturbed turning point problems with delay in time

Autori: Singh, Satpal Kumar, Devendra Vigo-Aguiar, J.

Zdroj: Journal of Mathematical Chemistry. 63:1035-1064

Predmety: Finite difference methods for boundary value problems involving PDEs, Shishkin mesh, Stability and convergence of numerical methods for boundary value problems involving PDEs, turning point, time lag, Spline approximation, Error bounds for initial value and initial-boundary value problems involving PDEs, parameter-uniform convergence, Second-order parabolic equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for ordinary differential equations, delay differential equation, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, splines, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, singular perturbation, Singular perturbations in context of PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8018422
https://doi.org/10.1007/s10910-025-01707-y

A remark on the vanishing diffusivity limit of the Keller-Segel equations in Besov spaces

Autori: Yu, Yanghai Liu, Fang

Zdroj: Discrete and Continuous Dynamical Systems - B. 30:1607-1616

Predmety: Quasilinear parabolic equations, Mathematics - Analysis of PDEs, Initial value problems for second-order parabolic systems, inviscid limit, Cell movement (chemotaxis, etc.), Besov spaces, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, FOS: Mathematics, Keller-Segel equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2310.10972

UNFOLDING A HOPF BIFURCATION IN A LINEAR REACTION-DIFFUSION EQUATION WITH STRONGLY LOCALIZED IMPURITY: Unfolding a Hopf bifurcation in a linear reaction-diffusion equation with strongly localized impurity

Autori: Li, Ji Yu, Qing Zhang, Qian

Zdroj: Journal of Applied Analysis & Computation. 15:1742-1769

Predmety: Reaction-diffusion equations, normal form, Pattern formations in context of PDEs, pinned solution, center manifold expansion, breathing pulse, Hopf bifurcation, Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems, Singular perturbations in context of PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8011325
https://doi.org/10.11948/20240379

Convergence of Boundary Layers of Chemotaxis Models with Physical Boundary Conditions I: Degenerate Initial Data: Convergence of boundary layers of chemotaxis models with physical boundary conditions. I: Degenerate initial data

Autori: Carrillo, José A. Hong, Guangyi Wang, Zhi-an

Zdroj: SIAM Journal on Mathematical Analysis

Predmety: physical boundary conditions, Mathematics - Analysis of PDEs, antiderivative, Asymptotic behavior of solutions to PDEs, Cell movement (chemotaxis, etc.), PDEs in connection with biology, chemistry and other natural sciences, linear sensitivity, FOS: Mathematics, Initial-boundary value problems for second-order parabolic systems, chemotaxis, boundary layers, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2401.01437
https://ora.ox.ac.uk/objects/uuid:73f8af12-d86c-4cf5-9e4a-f3536c65d960
https://doi.org/10.1137/24m1628426

Approximations of Euler-Maxwell systems by drift-diffusion equations through zero-relaxation limits near the non-constant equilibrium

Autori: Jin, Rui Li, Yachun Zhao, Liang

Zdroj: Science China Mathematics. 68:1051-1078

Predmety: Euler-Maxwell system, Mathematics - Analysis of PDEs, Initial value problems for second-order parabolic systems, Euler-Poisson system, Asymptotic behavior of solutions to PDEs, non-constant equilibrium state, global convergence rate, Initial value problems for first-order hyperbolic systems, PDEs in connection with optics and electromagnetic theory, zero-relaxation limit, Singular perturbations in context of PDEs, 35B25, 35L45, 35Q60, 35K45

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2312.07314
https://zbmath.org/8029232
https://doi.org/10.1007/s11425-023-2286-7

Pattern formations in nonlinear reaction-diffusion systems with strong localized impurities

Autori: Yuanxian Chen Ji Li Jianhe Shen a ďalší

Zdroj: Journal of Differential Equations. 402:250-289

Predmety: spectral stability, Reaction-diffusion equations, pattern formation, Pattern formations in context of PDEs, impurity, geometric singular perturbation theory, pinned pulse, one space dimension, Stability in context of PDEs, Second-order parabolic systems, Singular perturbations in context of PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7893990
https://doi.org/10.1016/j.jde.2024.05.004

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

Autori: Wang, Long Zhang, Lei He, Guowei

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

Predmety: 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

Popis súboru: application/xml

Multi-bump Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Deepening Potential Well: Multi-bump solutions for a logarithmic fractional Schrödinger-Poisson system with deepening potential well

Autori: Lin Li Huo Tao

Zdroj: The Journal of Geometric Analysis. 35

Predmety: Variational methods applied to PDEs, Second-order elliptic systems, Semilinear elliptic equations, deepening potential well, fractional Schrödinger-Poisson system, multi-bump solutions, Fractional partial differential equations, logarithmic nonlinearity, variational method, Singular perturbations in context of PDEs

Popis súboru: application/xml

On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure: On the inviscid limit connecting Brinkman's and Darcy's models of tissue growth with nonlinear pressure

Autori: Charles Elbar Jakub Skrzeczkowski

Zdroj: Journal of Mathematical Fluid Mechanics

Predmety: nonlocal-to-local limit, inviscid limit, nonlocal equation, Darcy's law, Degenerate parabolic equations, tissue growth, Mathematics - Analysis of PDEs, Initial value problems for second-order parabolic systems, 35K45, 35K65, 35J60, 35Q92, 92C10, FOS: Mathematics, Biomechanics, Brinkman's law, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2306.03752

Existence and non-degeneracy of the normalized spike solutions to the fractional Schrödinger equations

Autori: Guo Qing Zhang Yuhang

Zdroj: Advances in Nonlinear Analysis, Vol 14, Iss 1, Pp 6133-6162 (2025)

Predmety: 35b44, QA299.6-433, Pohozaev identities, Semilinear elliptic equations, fractional Schrödinger equations, Positive solutions to PDEs, 35b25, Fractional partial differential equations, Blow-up in context of PDEs, fractional schrödiner equations, pohozaev identities, 35b09, reduction method, normalized solutions, Analysis, Singular perturbations in context of PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://doaj.org/article/dc43d99b2858496d80ebddfee8bd1269

Concentrating solutions for double critical fractional Schrödinger-Poisson system with p-Laplacian in ℝ3: Concentrating solutions for double critical fractional Schrödinger-Poisson system with \(p\)-Laplacian in \(\mathbb{R}^3\)

Autori: Liang, Shuaishuai Song, Yueqiang Shi, Shaoyun

Zdroj: Advances in Nonlinear Analysis, Vol 14, Iss 1, Pp 47-274 (2025)

Predmety: 35b33, QA299.6-433, Semilinear elliptic equations, Ljusternik-Schnirelmann category, variational methods, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, schrödinger-poisson system, 35j20, Variational methods for elliptic systems, 58e05, Critical exponents in context of PDEs, Schrödinger-Poisson system, 35j60, fractional \(p\)-Laplace, Sonstiges, Variational methods involving nonlinear operators, fractional p-laplace, double critical, Mathematik, ljusternik-schnirelmann category, 47j30, Analysis, Singular perturbations in context of PDEs

Popis súboru: application/xml; image/jpeg; application/pdf

Prístupová URL adresa: https://zbmath.org/7990820
https://doi.org/10.1515/anona-2024-0063
https://doaj.org/article/16cf069f25134fd8af4bf75e42215863

Persistence of a unique periodic wave train in convecting shallow water fluid

Autori: Yang Sumin Wen Qian

Zdroj: Demonstratio Mathematica, Vol 58, Iss 1, Pp 103067-1146 (2025)

Predmety: 35b10, 35b20, KdV equations (Korteweg-de Vries equations), periodic traveling wave, Perturbations in context of PDEs, QA1-939, solitary wave, abelian integral, 35b25, Mathematics, Traveling wave solutions, Periodic solutions to PDEs, Singular perturbations in context of PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://doaj.org/article/400a7416dda14d70a43b49e5f3d118e7

Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation: Concentrating solutions for a fractional \(p\)-Laplacian logarithmic Schrödinger equation

Autori: Claudianor O. Alves Vincenzo Ambrosio

Zdroj: Analysis and Applications. 22:311-349

Predmety: Variational methods applied to PDEs, fractional operators, Positive solutions to PDEs, variational methods, 0101 mathematics, Quasilinear elliptic equations with \(p\)-Laplacian, Fractional partial differential equations, logarithmic nonlinearity, 01 natural sciences, Singular perturbations in context of PDEs

Popis súboru: application/xml

Metastability of almost minimizers in a 1-d Allen-Cahn equation on a compact domain: Metastability of almost minimizers in a \(1-d\) Allen-Cahn equation on a compact domain

Autori: Maria G. Westdickenberg

Zdroj: Journal of mathematical analysis and applications 548(1), 129376 (2025). doi:10.1016/j.jmaa.2025.129376

Predmety: gradient flow, dynamic metastability, Reaction-diffusion equations, Asymptotic behavior of solutions to PDEs, Initial-boundary value problems for second-order parabolic equations, energy-energy-dissipation, nonlinear PDE, Singular perturbations in context of PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://publications.rwth-aachen.de/record/1006972

Low Mach number limit for the global large solutions to the 2D Navier–Stokes–Korteweg system in the critical $$\widehat{L^p}$$ framework: Low Mach number limit for the global large solutions to the 2D Navier-Stokes-Korteweg system in the critical \(\widehat{L^p}\) framework

Autori: Mikihiro Fujii Yang Li

Zdroj: Calculus of Variations and Partial Differential Equations. 64

Predmety: Compressible Navier-Stokes equations, Smoothness and regularity of solutions to PDEs, Initial value problems for systems of nonlinear higher-order PDEs, Navier-Stokes equations for incompressible viscous fluids, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, incompressible Navier-Stokes flow, Critical exponents in context of PDEs, Mathematics - Analysis of PDEs, KdV equations (Korteweg-de Vries equations), FOS: Mathematics, Navier-Stokes equations, compressible Navier-Stokes-Korteweg system, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2410.08493
https://zbmath.org/7962029
https://doi.org/10.1007/s00526-024-02857-8

Cellular diffusion processes in singularly perturbed domains

Autori: Paul C. Bressloff

Zdroj: J Math Biol

Predmety: 0301 basic medicine, Cell biology, Cytoplasm, 0303 health sciences, Asymptotic behavior of solutions to PDEs, Cell Membrane, Quorum Sensing, Mathematical Concepts, Quantitative Biology - Quantitative Methods, Models, Biological, Article, Diffusion, 03 medical and health sciences, Mathematics - Analysis of PDEs, FOS: Biological sciences, FOS: Mathematics, Computer Simulation, Diffusion processes, Quantitative Methods (q-bio.QM), Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: https://pubmed.ncbi.nlm.nih.gov/39496961
http://arxiv.org/abs/2407.05747

Traveling wave solutions for a Keller-Segel system with nonlinear chemical gradient

Autori: Ai, Shangbing Du, Zengji

Zdroj: Journal of Mathematical Analysis and Applications. 545:129128

Predmety: Cell movement (chemotaxis, etc.), geometric singular perturbation theory, traveling wave solutions, Keller-Segel system, nonlinear chemical gradient, Traveling wave solutions, Singular perturbations in context of PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7975129
https://doi.org/10.1016/j.jmaa.2024.129128

Concentration phenomenon of semiclassical states to reaction–diffusion systems: Concentration phenomenon of semiclassical states to reaction-diffusion systems

Autori: Gou, Tianxiang Zhang, Zhitao

Zdroj: Annali di Matematica Pura ed Applicata (1923 -). 202:1679-1717

Predmety: Mathematics - Analysis of PDEs, Reaction-diffusion equations, 35B25, 35A15 (Primary), 35K40, 35K57, 35B38 (Secondary), variational methods, FOS: Mathematics, Variational methods for elliptic systems, 0101 mathematics, reaction-diffusion system, 01 natural sciences, Singular perturbations in context of PDEs, concentration phenomenon, semiclassical states, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/1909.05453
https://zbmath.org/7694942
https://doi.org/10.1007/s10231-022-01297-5