In this study, we consider free boundary problems for nonlinear advection-diffusion equations of the form ut-uxx+βux=f(u) for t>0, g(t)2-norm as t→∞ when spreading occurs. We develop new approaches and extend a previous result to the problem with the advection term.
- Free boundary problem
- Nonlinear advection-diffusion equation
- Spreading speed
ASJC Scopus subject areas
- Applied Mathematics