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7 papers · 2 filters
Localization of bubbling for high order nonlinear equations
Frédéric Robert
We analyze the asymptotic pointwise behavior of families of solutions to the high-order critical equation that…
Regularization by noise for some strongly non-resonant modulated dispersive PDEs
Tristan Robert
In this work, we pursue our investigations on the Cauchy problem for a class of dispersive PDEs where a rough time coefficient is present in front of the dispersion. We show that i…
Remarks on nonlinear dispersive PDEs with rough dispersion management
Tristan Robert
In this work, we study the Cauchy problem for a class of dispersive PDEs where a rough time coefficient is present in front of the dispersion. Under minimal assumptions on the occu…
Discretizing the Fokker-Planck equation with second-order accuracy: a dissipation driven approach
Clément Cancès, Léonard Monsaingeon, Andrea Natale
We propose a fully discrete finite volume scheme for the standard Fokker-Planck equation. The space discretization relies on the well-known square-root approximation, which falls i…
Networks of sign-changing metamaterials: existence and spectral properties
Kaïs Ammari, Eric Bonnetier, Alessandro Duca
We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such medi…
The biharmonic optimal support problem
Antoine Lemenant, Mohammad Reza Pakzad
We establish a -convergence result for of a thin nonlinearly elastic 3D-plate of thickness which is assumed to be glued to a support region in the 2D-plane $x_3=0…