Periodic contrast structures in the reaction-diffusion problem with fast response and weak diffusion
From MaRDI portal
Publication:2090561
DOI10.1134/S0001434622090279zbMath1500.35016MaRDI QIDQ2090561
Publication date: 25 October 2022
Published in: Mathematical Notes (Search for Journal in Brave)
asymptotic method of differential inequalitiesinterior transition layerBurgers equations with modular advectiondiscontinuous sourcesperiodic parabolic boundary-value problemsreaction-advection-diffusion-type equations
Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong solutions of periodic parabolic problems with discontinuous nonlinearities
- Asymptotic theory of contrast structures (review)
- Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms
- On front motion in a Burgers-type equation with quadratic and modular nonlinearity and nonlinear amplification
- Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications
- On a periodic inner layer in the reaction-diffusion problem with a modular cubic source
- On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity
- Inhomogeneous Burgers equation with modular nonlinearity: excitation and evolution of high-intensity waves
- Front motion in the parabolic reaction-diffusion problem
- The generation and propagation of internal layers