97 citations
- École PolytechniqueFR93 papers
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Showing 2017 · math.APShow all
4 papers · 2 filters
math.AP2017★ 2 cited
Solution by convex minimizationof the Cauchy problem forhyperbolic systems of conservation laws with convex entropy
Yann Brenier
We show that, for first-order systems of conservation laws with a strictly convex entropy,in particular for the very simple so-called "inviscid" Burgers equation,it is possible to…
math.AP2017
Construction of multi-bubble solutions for the critical gKdV equation
Vianney Combet, Yvan Martel
We prove the existence of solutions of the mass critical generalized Korteweg-de Vries equation containing an arbitrary numbe…
math.AP2017★ 2 cited
Hyperbolicity of the time-like extremal surfaces in minkowski spaces
Xianglong Duan
In this paper, it is established, in the case of graphs, that time-like extremal surfaces of dimension in the Minkowski space of dimension can be described by a symme…
math.AP2017★ 1 cited
Magnetohydrodynamic regime of the born-infeld electromagnetism
Xianglong Duan
The Born-Infeld (BI) model is a nonlinear correction of Maxwell's equations. By adding the energy and Poynting vector as additional variables, it can be augmented as a 1010…