On the analysis of traveling waves to a nonlinear flux limited reaction-diffusion equation
On the analysis of traveling waves to a nonlinear flux limited reaction-diffusion equation
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DOI：
10.1016/j.anihpc.2012.07.001
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发表时间：
2013-01-01
影响因子：
1.9
通讯作者：
Soler, Juan
中科院分区：
文献类型：
--
作者：
Campos, Juan;Guerrero, Pilar;Soler, Juan
在本文中，我们研究了与耦合到 Fisher-Kolmogorov-Petrovskii-Piskunov 型反应项的非线性通量有限偏微分方程相关的行波的存在性和定性性质。我们证明了C-2经典正则的有限速度移动前沿的存在性和唯一性，也证明了不连续熵行波解的存在性。 (C) 2012 Elsevier Masson SAS。版权所有。
In this paper we study the existence and qualitative properties of traveling waves associated with a nonlinear flux limited partial differential equation coupled to a Fisher-Kolmogorov-Petrovskii-Piskunov type reaction term. We prove the existence and uniqueness of finite speed moving fronts of C-2 classical regularity, but also the existence of discontinuous entropy traveling wave solutions. (C) 2012 Elsevier Masson SAS. All rights reserved.