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- Centre National de la Recherche ScientifiqueFR304 papers
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26 papers · 1 filter
Existence of multi-solitons with any parameters for the 5D energy critical wave equation
Yvan Martel, Frank Merle
For the focusing, energy critical wave equation in dimension 5, we construct multi-solitons with any number of solitons, any choice of signs, speeds, scaling parameters and transla…
Orr-Sommerfeld equation and complex deformation
Malo Jézéquel, Jian Wang
For shear flows in a 2D channel, we define resonances near regular values of the shear profile for the Rayleigh equation under an analyticity assumption. This is done via complex d…
Convex waves grazing convex obstacles to high order
Jian Wang, Mark Williams
In a recent paper [WW23] we studied the transport of oscillations in solutions to linear and some semilinear second-order hyperbolic boundary problems along rays that graze a conve…
On the monotonicity of the Fisher information for the Boltzmann equation
Cyril Imbert, Luis Silvestre, Cédric Villani
We prove that the Fisher information is monotone decreasing in time along solutions of the space-homogeneous Boltzmann equation for a large class of collision kernels covering all…
On classification of global dynamics for energy-critical equivariant harmonic map heat flows and radial nonlinear heat equation
Kihyun Kim, Frank Merle
We consider the global dynamics of finite energy solutions to energy-critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that a…
Initial data for Minkowski stability with arbitrary decay
Allen Juntao Fang, Jérémie Szeftel, Arthur Touati
We construct and parametrize solutions to the constraint equations of general relativity in a neighborhood of Minkowski spacetime with arbitrary prescribed decay properties at infi…