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arXiv · 2408.14631

Travelling waves in a dispersion-saturating diffusion equation

Gnord Maypaokha·Nabil Bedjaoui·Joaquim M. C. Correia·Michael Grinfeld
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Abstract

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 Vries equation. We establish existence as well as linear and nonlinear determinacy results in different regimes.

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Gnord Maypaokha, Nabil Bedjaoui, Joaquim M. C. Correia, Michael Grinfeld. 2024-08-26. Travelling waves in a dispersion-saturating diffusion equation. https://arxiv.org/abs/2408.14631

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