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    Electronic Resource
    Electronic Resource
    Weak solutions to quasilinear wave equations of Klein-Gordon or Sine-Gordon type and relaxation to reaction-diffusion equations (1997)
    Springer
    Nonlinear differential equations and applications 4 (1997), S. 439-457 
    Details
    ISSN: 1420-9004
    Keywords: 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.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s000300050024
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