3 papers
math.AP2026
Three-scale singular limits with applications to rapidly rotating fluids and the hyperbolization of dispersive systems
Vincent Duchêne, Arnaud Duran, Khawla Msheik
We consider singular problems for a general class of quasilinear hyperbolic systems that involve two a priori independent stiff parameters. We argue that such situations may lead t…
math.NA2025
The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems
Vincent Duchêne, Johanna Ulvedal Marstrander
We discuss the rigorous justification of the spatial discretization by means of Fourier spectral methods of quasilinear first-order hyperbolic systems. We provide uniform stability…
math.AP2022
Many Models for Water Waves
Vincent Duchêne
This document is an announcement and preview of a memoir whose full version is available on the Open Math Notes repository of the American Mathematical Society (OMN:202109.111309).…