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math.AP2021★ 4 cited
On Métivier's Lax-Mizohata theorem and extensions to weak defects of hyperbolicity. Part two
Karim Ndoumajoud, Benjamin Texier
We continue our study of initial-value problems for fully nonlinear systems exhibiting strong or weak defects of hyperbolicity. We prove that, regardless of the initial Sobolev reg…
math.AP2021
Space-time resonances and high-frequency Raman instabilities in the two-fluid Euler-Maxwell system
Eric Dumas, Yong Lu, Benjamin Texier
We show that space-time resonances induce high-frequency Raman instabilities in the two-fluid Euler-Maxwell system describing laser-plasma interactions. A consequence is that the Z…