2 papers
math.AP2025
Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term
Loïc Constantin, Carlota M. Cuesta
In this paper we study a doubly degenerate parabolic equation involving a convection term and the operator which is a linear combination of th…
math.AP2024
Existence of undercompressive travelling waves of a non-local generalised Korteweg-de Vries-Burgers equation
F. Achleitner, C. M. Cuesta, X. Diez-Izagirre
We study travelling wave solutions of a generalised Korteweg-de Vries-Burgers equation with a non-local diffusion term and a concave-convex flux. This model equation arises in the…