An asymptotic method of differential inequalities for the investigation of periodic contrast structures: Existence, asymptotics, and stability
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Publication:5926565
DOI10.1007/BF02754216zbMath0979.35150OpenAlexW2031498880MaRDI QIDQ5926565
Publication date: 19 March 2001
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02754216
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On a New Type of Periodic Fronts in Burgers Type Equations with Modular Advection ⋮ Solution of contrast structure type for a parabolic reaction-diffusion problem in a medium with discontinuous characteristics ⋮ Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem in the case of a balanced nonlinearity ⋮ Singularly perturbed problems with boundary and internal layers ⋮ Existence and asymptotic stability of a stationary boundary-layer solution of the two-dimensional reaction-diffusion-advection problem ⋮ Existence of a periodic solution in the form of a two-dimensional front in a system of parabolic equations ⋮ Asymptotic stability via the Kreĭn-Rutman theorem for singularly perturbed parabolic periodic Dirichlet problems ⋮ Asymptotically stable periodic solutions in one problem of atmospheric diffusion of impurities: asymptotics, existence, and uniqueness ⋮ Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms ⋮ Periodic boundary layer solutions of a reaction-diffusion problem with singularly perturbed boundary conditions of the third kind ⋮ Existence and stability of solutions with periodically moving weak internal layers ⋮ Existence of a solution in the form of a moving front of a reaction-diffusion-advection problem in the case of balanced advection ⋮ Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations ⋮ Singularly perturbed periodic parabolic equations with alternating boundary layer type solutions ⋮ Existence and stability of a front-type periodic solution of a two-component system of parabolic equations ⋮ Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem ⋮ Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term ⋮ The existence and asymptotic stability of periodic solutions with an interior layer of Burgers type equations with modular advection ⋮ Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications ⋮ Existence and stability of periodic solution of contrast structure type in discontinuous singularly perturbed reaction-convection-diffusion problem
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