Internal layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side
From MaRDI portal
Publication:1709667
DOI10.1134/S0012266117120059zbMath1391.34093WikidataQ115250817 ScholiaQ115250817MaRDI QIDQ1709667
Yafei Pang, O. A. Nikolaeva, N. T. Levashova, Ming Kang Ni
Publication date: 6 April 2018
Published in: Differential Equations (Search for Journal in Brave)
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)
Related Items (15)
Existence of contrast structures in a problem with discontinuous reaction and advection ⋮ Asymptotically stable stationary solutions of the reaction-diffusion-advection equation with discontinuous reaction and advection terms ⋮ Nonsmooth regular perturbations of singularly perturbed problems ⋮ Internal layer for a system of singularly perturbed equations with discontinuous right-hand side ⋮ Multizonal boundary and internal layers in the singularly perturbed problems for a stationary equation of reaction-advection-diffusion type with weak and discontinuous nonlinearity ⋮ The high-order approximation of SPDEs with multiplicative noise via amplitude equations ⋮ Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion-advection equation ⋮ Internal layer for a singularly perturbed equation with discontinuous right-hand side ⋮ Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms ⋮ Use of very weak approximate boundary layer solutions to spatially nonsmooth singularly perturbed problems ⋮ Multizonal internal layers in the singularly perturbed equation with a discontinuous right-hand side ⋮ Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term ⋮ Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source ⋮ Existence and stability of periodic solution of contrast structure type in discontinuous singularly perturbed reaction-convection-diffusion problem ⋮ Boundary layer solutions to singularly perturbed quasilinear systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term
- Singularly perturbed problems with boundary and internal layers
- A singular approach to discontinuous vector fields on the plane
- Structurally stable discontinuous vector fields in the plane.
- Step-like contrasting structures for a singularly perturbed quasilinear second-order differential equation
- Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
- Time-independent reaction-diffusion equation with a discontinuous reactive term
- Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models
This page was built for publication: Internal layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side