Multizonal boundary and internal layers in the singularly perturbed problems for a stationary equation of reaction-advection-diffusion type with weak and discontinuous nonlinearity

DOI10.1134/S0965542522120144OpenAlexW4315434458MaRDI QIDQ2679089

Qian Yang, Ming Kang Ni

Publication date: 19 January 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522120144

zbMATH Keywords

asymptotic methodreaction-advection-diffusion equationdiscontinuous dynamical systemmultizonal boundary and internal layer

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term
• On the stability and the attraction domain of the stationary solution of a singularly perturbed parabolic equation with a multiple root of the degenerate equation
• On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation
• Singularly perturbed boundary value problems with a power-law boundary layer
• Geometric singular perturbation theory for ordinary differential equations
• Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations
• Internal layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side
• On a singularly perturbed initial value problem in the case of a double root of the degenerate equation
• Multizonal internal layers in the singularly perturbed equation with a discontinuous right-hand side
• Singularly perturbed stationary diffusion model with a cubic nonlinearity
• Internal layer for a singularly perturbed equation with discontinuous right-hand side
• Existence and asymptotic stability of periodic two-dimensional contrast structures in the problem with weak linear advection
• Time-independent reaction-diffusion equation with a discontinuous reactive term
• On the existence and asymptotic stability of periodic contrast structures in quasilinear reaction-advection-diffusion equations
• On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation

This page was built for publication: Multizonal boundary and internal layers in the singularly perturbed problems for a stationary equation of reaction-advection-diffusion type with weak and discontinuous nonlinearity