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arXiv · 1309.0379

Front propagation in nonlinear parabolic equations

Eduard Feireisl·Danielle Hilhorst·Hana Petzeltova·Peter Takac
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Abstract

We study existence and stability of travelling waves for nonlinear convection diffusion equations in the 1-D Euclidean space. The diffusion coefficient depends on the gradient in analogy with the p-Laplacian and may be degenerate. Unconditional stability is established with respect to initial data perturbations in the Lebesgue space of integrable functions.

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Eduard Feireisl, Danielle Hilhorst, Hana Petzeltova, Peter Takac. 2013-09-02. Front propagation in nonlinear parabolic equations. https://doi.org/10.1112/jlms%2Fjdu039

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