Weak solutions to quasilinear wave equations of Klein-Gordon or Sine-Gordon type and relaxation to reaction-diffusion equations

被引：0
|
作者：
Bruno Rubino
机构：
[1] Dipartimento di Matematica Pura ed Applicata,
[2] Università degli Studi di L'Aquila,undefined
[3] via Vetoio,undefined
[4] loc. Coppito,undefined
[5] I-67010 L'Aquila,undefined
[6] Italy. E-mail: rubino@univaq.it,undefined
来源：
Nonlinear Differential Equations and Applications NoDEA | 1997年 / 4卷
关键词：
Key words and Phrases: Compensated compactness, fractional step method, Klein-Gordon and Sine-Gordon equation, Lax-Friedrichs and Godunov scheme, momentum relaxation time, reaction-diffusion equation, relaxation theory.;
D O I：
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学科分类号：
摘要：
This paper regards the existence of weak solutions for a quasilinear wave equation of Klein-Gordon and Sine-Gordon type with the presence of a linear damping term and the relaxation to the reaction-diffusion equation when the momentum relaxation time tends to zero. In the limit process is fundamental the celebrated Div-curl Lemma of Tartar and Murat.
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页码：439 / 457
页数：18
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