1.8k citations
- New York UniversityUS224 papers
- Centre National de la Recherche ScientifiqueFR193 papers
- University of AmsterdamNL154 papers
- Columbia UniversityUS112 papers
- Max Planck Institute for AstronomyDE104 papers
- Stockholm UniversitySE104 papers
- University of ChicagoUS104 papers
- Weizmann Institute of ScienceIL100 papers
- University of CoimbraPT95 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BolognaIT94 papers
- National Institute for Subatomic PhysicsNL94 papers
- University of BolognaIT94 papers
5 papers · 2 filters
Discontinuous Galerkin method for blow-up solutions of nonlinear 1D wave equations
Asma Azaiez, Mondher Benjemaa, Aida Jrajria +1
We develop and study a time-space discrete discontinuous Galerkin finite elements method to approximate the solution of one-dimensional nonlinear wave equations. We show that the n…
Relaxation to equilibrium in the one-dimensional thin-film equation with partial wetting
Mohamed Majdoub, Nader Masmoudi, Slim Tayachi
We investigate the large time behavior of compactly supported solutions for a one-dimensional thin-film equation with linear mobility in the regime of partial wetting. We show the…
An energy method for averaging lemmas
Diogo Arsénio, Nicolas Lerner
This work introduces a new approach to velocity averaging lemmas in kinetic theory. This approach -- based upon the classical energy method -- provides a powerful duality principle…
Dislocations in a layered elastic medium with applications to fault detection
Andrea Aspri, Elena Beretta, Anna L. Mazzucato
We consider a model for elastic dislocations in geophysics. We model a portion of the Earth's crust as a bounded, inhomogeneous elastic body with a buried fault surface, along whic…
Nonlinear inviscid damping for a class of monotone shear flows in finite channel
Nader Masmoudi, Weiren Zhao
We prove the nonlinear inviscid damping for a class of monotone shear flows in for initial perturbation in Gevrey-() class with compact support. The main…