On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation

Mathematics in Engineering

Lorenzo di Ruvo¹  Giuseppe Maria Coclite² 

[1] 2. Dipartimento di Matematica, Universita di Bari, via E. Orabona 4, 70125 Bari, Italy;1. Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, via E. Orabona 4, 70125 Bari, Italy;

关键词: existence;    uniqueness;    stability;    kuramoto-sinelshchikov type equation;    initial-boundary value problem;   

DOI  :  10.3934/mine.2021036

来源: DOAJ

【 摘 要 】

The Kuramoto-Sinelshchikov equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking in account the combined influence of diffusion and thermal conduction of the gas on the stability of a plane flame front. In this paper, we prove the well-posedness of the classical solutions for the initial-boundary value problem for this equation, under appropriate boundary conditions.

【 授权许可】

Unknown