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math.AP2021
Projective properties of Divergence-free symmetric tensors, and new dispersive estimates in gas dynamics
Denis Serre
The class of Divergence-free symmetric tensors is ubiquitous in Continuum Mechanics. We show its invariance under projective transformations of the independent variables. This acti…
math.AP2021
-type Lyapunov functions for hyperbolic scalar conservation laws
Denis Serre
We prove the decay of the L 2-distance from the solution u(t) of a hyperbolic scalar conservation law, to some convex, flow-invariant target sets.
math.AP2021
Asymptotic stability of scalar multi-D inviscid shock waves
Denis Serre
In several space dimensions, scalar shock waves between two constant states u are not necessarily planar. We describe them in detail. Then we prove their asymptotic stability…