Open Access
VOL. 47.2 | 2007 Global existence of a reaction-diffusion-advection system
Chapter Author(s) Koichi Osaki
Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida
Adv. Stud. Pure Math., 2007: 729-739 (2007) DOI: 10.2969/aspm/04720729

Abstract

A reaction-diffusion-advection system of equations: Mikhailov-Hildebrand-Ertl model [4] in $\mathbb{R}^2$ is treated, and the global solutions are constructed. For the local existence, semigroup method is used, and by constructing a priori estimates the global existence is proved.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1141.35399
MathSciNet: MR2387267

Digital Object Identifier: 10.2969/aspm/04720729

Rights: Copyright © 2007 Mathematical Society of Japan

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