On Classical Solutions for A Kuramoto–Sinelshchikov–Velarde-Type Equation
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....
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2020-03-01
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Series: | Algorithms |
Subjects: | |
Online Access: | https://www.mdpi.com/1999-4893/13/4/77 |
Summary: | 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. |
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ISSN: | 1999-4893 |