228 citations
- Tunis UniversityTN152 papers
- Centre National de la Recherche ScientifiqueFR129 papers
- Université Paris-SaclayFR95 papers
- University of WarsawPL90 papers
- Centro de Investigaciones Energéticas, Medioambientales y TecnológicasES89 papers
- Rutgers, The State University of New JerseyUS89 papers
- UCLouvainBE89 papers
- Institute of Nuclear Physics of LyonFR88 papers
- Ruđer Bošković InstituteHR88 papers
- South China Normal UniversityCN88 papers
- Sungkyunkwan UniversityKR88 papers
- Universidad Autónoma de MadridES88 papers
6 papers · 2 filters
The blow-up rate for strongly perturbed semilinear wave equations in the conformal regime without a radial assumption
Mohamed-Ali Hamza
We consider in this paper a large class of perturbed semilinear wave equations with critical (in the conformal transform sense) power nonlinearity. We will show that the blow-up ra…
A remark on observability of the wave equation with moving boundary
K. Ammari, A. Bchatnia, K. El Mufti
We deal with the wave equation with assigned moving boundary () upon which Dirichlet or mixed boundary conditions are specified, here is assumed to move slower tha…
Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem
Mourad Bellassoued, Oleg Imanuvilov, Masahiro Yamamoto
We consider the nonstationary linearized Navier-Stokes equations in a bounded domain and first we prove a Carleman estimate with a regular weight function. Second we apply the Carl…
On defocusing fourth-order coupled nonlinear Schrodinger equations
Radhia Ghanmi, Tarek Saanouni
We investigate the initial value problem for some defocusing coupled nonlinear fourth-order Schrodinger equations. Global well-posedness and scattering in the energy space are obta…
A note on coupled focusing nonlinear Schrodinger equations
Tarek Saanouni
Some focusing coupled Schrodinger equations are investigated. First, existence of ground state is obtained. Second, global and non global existence of solutions are discussed via p…
On the blow up criterion of 3D-NSE in Sobolev-Gevrey spaces
Jamel Benameur, Lotfi Jlali
In \cite{JB1}, Benameur proved a blow-up result of the non regular solution of in the Sobolev-Gevrey spaces. In this paper we improve this result, precisely we give an expo…