2 papers
math.AP2024
Travelling waves in a dispersion-saturating diffusion equation
Gnord Maypaokha, Nabil Bedjaoui, Joaquim M. C. Correia +1
In the framework of hyperbolic conservation laws regularised by including diffusive and dispersive terms, we study monotone travelling waves for the generalised Rosenau-Korteweg de…
math.AP2008
Nonlinear diffusive-dispersive limits for multidimensional conservation laws
Joaquim M. Correia, Philippe G. LeFloch
We consider a class of multidimensional conservation laws with vanishing nonlinear diffusion and dispersion terms. Under a condition on the relative size of the diffusion and dispe…