Travelling waves in a convection-diffusion equation

0369968 - MÚ 2012 RIV US eng J - Journal Article
Feireisl, Eduard - Petzeltová, Hana - Takáč, P.
Travelling waves in a convection-diffusion equation.
Journal of Differential Equations. Roč. 252, č. 3 (2012), s. 2296-2310. ISSN 0022-0396. E-ISSN 1090-2732
R&D Projects: GA ČR GA201/09/0917; GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10190503
Keywords : travelling waves * convection-diffusion
Subject RIV: BA - General Mathematics
Impact factor: 1.480, year: 2012
http://www.sciencedirect.com/science/article/pii/S0022039611002853

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 L1(R).
Permanent Link: http://hdl.handle.net/11104/0203903