Traveling waves in reaction-diffusion-convection equations with combustion nonlinearity
arxiv(2024)
摘要
This paper concerns the existence and properties of traveling wave solutions
to reaction-diffusion-convection equations on the real line. We consider a
general diffusion term involving the p-Laplacian and combustion-type reaction
term. We extend and generalize the results established for p=2 to the case of
singular and degenerate diffusion. Our approach allows for non-Lipschitz
reaction as well. We also discuss the shape of the traveling wave profile near
equilibria, assuming power-type behavior of the reaction and diffusion terms.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要