Continuous dependence in front propagation of convective reaction-diffusion equations

Luisa Malaguti; Cristina Marcelli; Serena Matucci

doi:10.3934/cpaa.2010.9.1083

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2010, Volume 9, Issue 4: 1083-1098. Doi: 10.3934/cpaa.2010.9.1083

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Continuous dependence in front propagation of convective reaction-diffusion equations

1.
Dept. of Engineering Sciences and Methods, University of Modena and Reggio Emilia, Reggio Emilia, I-42122
2.
Dept. of Mathematical Sciences, Polytechnic University of Marche, Ancona, I-60131
3.
Dept. of Electronic and Telecommunications, University of Florence, Florence, I-50139

Received: July 2009

Revised: January 2010

Published: July 2010

Abstract / Introduction Related Papers Cited by

Abstract

Continuous dependence of the threshold wave speed and of the travelling wave profiles for reaction-diffusion-convection equations

$ u_t + h(u)u_x = (d(u)u_x)_x + f(u)$

is here studied with respect to the diffusion, reaction and convection terms.

Keywords:

Reaction-diffusion-convection equations,
travelling wave solutions,
threshold wave speed,
continuous dependence.

Mathematics Subject Classification: Primary: 35K57, 92D25; Secondary: 34B40, 34B16.

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