Front propagation in nonlinear parabolic equations

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.

Cited by in corpus (2)

• New patterns of travelling waves in the generalized Fisher-Kolmogorov equation
• Monotone wave fronts for $(p,q)$-Laplacian driven reaction-diffusion equations