Multiple Scale Reaction-Diffusion-Advection Problems with Moving Fronts

7th International Workshop on MUlti-Rate Processes & HYSteresis; 2nd International Workshop on Hysteresis and Slow-Fast Systems

Nefedov, Nikolay^1

Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow

119899, Russia^1

关键词: Asymptotic method;    Differential inequalities;    Initial-boundary value problems;    Internal layers;    Multiple scale;    Reaction diffusion;    Singularly-perturbed parabolic equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/727/1/012011/pdf
DOI  :  10.1088/1742-6596/727/1/012011

来源: IOP

【 摘 要 】

In this work we discuss the further development of the general scheme of the asymptotic method of differential inequalities to investigate stability and motion of sharp internal layers (fronts) for nonlinear singularly perturbed parabolic equations, which are called in applications reaction-diffusion-advection equations. Our approach is illustrated for some new important cases of initial boundary value problems. We present results on stability and on the motion of the fronts.