Keywords: Boundary layers; Singular perturbations; Burgers equation; Nonlinear boundary layers; 35B25; 35C20; 76D10; 35K05;
مقالات ISI (ترجمه نشده)
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Keywords: 35B35; 35B40; 35C20; Optimal decay estimate; Regularity-loss structure; Energy method in Fourier space; Eigenvalue expansion;
Keywords: 76D05; 35Q30; 74F10; 35B40; 35C20; 76M45; Navier-Stokes equations; Fluid-structure interactions; Asymptotic behavior; Vorticity;
Keywords: 35C20; 35L60; 76M45; First-order quasilinear hyperbolic system; Singular limit; Structural stability condition; Differential constraint; Parabolic limit equations;
Keywords: 35B33; 35C20; 35K58; 35R11; 78A35; 82D37Drift–diffusion equation; Fractional dissipation; Large-time behavior
Keywords: 35C20; 35L03; 35L65; 76Q05; Aero-acoustics; Hydro-acoustics; Convective wave equation; Splitting Theorem; Sound propagation; Sources of sound;
A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary
Keywords: 35J25; 31B10; 45A05; 35B25; 35C20; Dirichlet problem; Singularly perturbed perforated domain; Laplace operator; Real analytic continuation in Banach space; Asymptotic expansion;
Molecular predissociation resonances near an energy-level crossing II: Vector field interaction
Keywords: 35P15; 35C20; 35S99; 47A75; Resonances; Born-Oppenheimer approximation; Eigenvalue crossing;
Subwavelength phononic bandgap opening in bubbly media
Keywords: 35R30; 35C20; Minnaert resonance; Bubble; Phononic band gap; Layer potentials; Acoustic waves;
The Dirichlet problem in a planar domain with two moderately close holes
Keywords: 35J25; 31B10; 45A05; 35B25; 35C20; Dirichlet problem; Singularly perturbed perforated planar domain; Moderately close holes; Laplace operator; Real analytic continuation in Banach space; Asymptotic expansion;
Lp-Lq decay estimates for dissipative linear hyperbolic systems in 1D
Keywords: 35L45; 35C20; Large-time behavior; Dissipative linear hyperbolic systems; Asymptotic expansions;
Sharp asymptotics for the minimal mass blow up solution of the critical gKdV equation
Keywords: 35Q53; 35B44; 35B40; 35C20; Generalized Korteweg-de Vries equation; Blow up; Minimal mass solution; Soliton;
Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction
Keywords: 35P15; 35C20; 35S99; 47A75Resonances; Born–Oppenheimer approximation; Eigenvalue crossing; Differential system
Solutions to a class of parabolic inhomogeneous normalized p-laplace equations
Keywords: Parabolic normalized p-Laplace equation; viscosity solution; asymptotic mean value property; comparison principle; uniqueness theorem; infinity Laplacian35C15; 35C20; 35K20; 35K92; 35Q91; 35B51; 35D40
On Gevrey solutions of threefold singular nonlinear partial differential equations
Keywords: 35C10; 35C20; Nonlinear partial differential equations; Singular perturbations; Formal power series; Borel-Laplace transform; Borel summability; Gevrey asymptotic expansions;
The relaxation-time limit in the compressible Euler–Maxwell equations
Keywords: 35B40; 35C20; 35L60; 35Q35Euler–Maxwell equations; Relaxation time limit; Plasmas; Energy estimate
The non-relativistic limit of Euler–Maxwell equations for two-fluid plasma
Keywords: 35C20; 35B40; 35L60; 35Q35Two-fluid Euler–Maxwell equations; Euler–Poisson equations; Non-relativistic limit; Asymptotic expansions
Rigorous derivation of incompressible type Euler equations from non-isentropic Euler–Maxwell equations
Keywords: 35B40; 35C20; 35L60; 35Q35Euler–Maxwell equations; Incompressible Euler equations; Quasi-neutral limit; Non-relativistic limit; Asymptotic expansion and convergence
Asymptotically self-similar solutions of the damped wave equation
Keywords: 35B40; 35C20; 35L05; 35B30Damped wave equation; Self-similar variables; Asymptotic behavior; Self-similar solutions
High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings
Keywords: 35C20; 65M60; 78M35; Thin layer approximations; Maxwell's equations; Discontinuous Galerkin methods;
High-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed homogeneous conditions
Keywords: 35C20; 35L20; 35L70; 35Q72; Nonlinear Kirchhoff-Carrier wave equation; Faedo-Galerkin method; The convergence of order N+1;
The spiral minimal surfaces and their Legendre and Weierstrass representations
Keywords: 35C20; 49Q05; 53A10; 85A15Minimal surfaces; Symmetry reductions; Topological methods; Warzewski theorem; Phase portrait
Analytical methods for an elliptic singular perturbation problem in a circle
Keywords: 35B25; 35C05; 35C20; 35J25; 41A60Singular perturbations; Elliptic equations; Boundary value problem; Series solution; Uniform asymptotic expansion
The Gauss hypergeometric function F(a,b;c;z)F(a,b;c;z) for large c
Keywords: 35C20; 41A60Gauss hypergeometric function; Asymptotic expansions
Degenerate nonlinear higher-order elliptic problems in domains with fine-grained boundary
Keywords: 35B27; 35B40; 35C20; 35J40; 35J70Nonlinear higher-order elliptic equation; Degeneracy; Muckenhoupt class; Asymptotic expansion; Limit problem; Model problem; Variables domains; Homogenization
Asymptotic approximations for a singularly perturbed convection-diffusion problem with discontinuous data in a sector
Keywords: 35C20; 41A60; Singular perturbation problem; Discontinuous boundary data; Asymptotic expansions; Error function;
Limit behavior of two-time-scale diffusions revisited
Keywords: 35B25; 35C20; 35K15; 60J60; Parabolic partial differential equation; Singular perturbation; Two-time scale; Asymptotic expansion; Functional of diffusion;
Feynman path integrals for polynomially growing potentials
Keywords: 28C20; 81C35; 47D06; 35C20; Feynman path integrals; Schrödinger equation; Quartic oscillator potential; Asymptotic expansion;
Renormalization group method applied to the primitive equations
Keywords: 35C20; 35Q35; 76D03; 76D50; Primitive equations of the ocean; Renormalization group method; Energy estimates; Error estimates;