On Classical Solutions for A Kuramoto-Sinelshchikov-Velarde-Type Equation

被引：10

作者：

Coclite, Giuseppe Maria ^{[1
]}

di Ruvo, Lorenzo ^{[2
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Bari 70125, BA, Italy

[2] Univ Bari, Dipartimento Matemat, Bari 70121, BA, Italy

来源：

ALGORITHMS | 2020年 / 13卷 / 04期

关键词：

existence; uniqueness; stability; Kuramoto-Sinelshchikov-Velarde-type equation; Cauchy problem; BENARD-MARANGONI CONVECTION; TRAVELING-WAVE SOLUTIONS; WELL-POSEDNESS; NONLINEAR SATURATION; SIVASHINSKY EQUATION; CONVERGENCE; STABILITY; DIFFUSION; STABILIZATION; INSTABILITY;

D O I：

10.3390/a13040077

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The Kuramoto-Sinelshchikov-Velarde equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking into 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 Cauchy problem.

引用

页数：22

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