1.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR327 papers
- Université de BordeauxFR175 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR130 papers
- Laboratoire de Physique des deux infinis BordeauxFR129 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR118 papers
- Institut de Mathématiques de BordeauxFR93 papers
- École PolytechniqueFR72 papers
- Observatoire de ParisFR72 papers
- Laboratoire Leprince-RinguetFR66 papers
- Astrophysique, Instrumentation et ModélisationFR64 papers
- Université Montpellier 263 papers
- Stanford UniversityUS62 papers
17 papers · 1 filter
Sets of unique continuation for heat equation
Nikolai Nadirashvili, Nadezda Varkentina
We study nodal lines of solutions to the heat equations. We are interested in the global geometry of nodal sets, in the whole domain of definition of the solution. The local struct…
A well-posedness result for hyperbolic operators with Zygmund coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic operator with Zygmund continuous second order coefficients both in time and in space…
Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coefficients in any space dimension . We will suppose the coefficients…
Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity
Enrico Bernardi, Antonio Bove, Vesselin Petkov
We study a class of third order hyperbolic operators in with triple characteristics at $ρ= (0, x_0, ξ), ξ\in {…
Global wellposedness to incompressible inhomogeneous fluid system with bounded density and non-Lipschitz velocity
Jingchi Huang, Marius Paicu, Ping Zhang
In this paper, we first prove the global existence of weak solutions to the d-dimensional incompressible inhomogeneous Navier-Stokes equations with initial data in critical Besov s…
Cauchy problem for semilinear wave equation with time-dependent metrics
Yavar Kian
We establish the existence of weak solutions of the semilinear wave equation where is equal to outside a co…
Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrödinger equations
Mathieu Colin, Masahito Ohta
We consider a system of nonlinear Schrödinger equations related to the Raman amplification in a plasma. We study the orbital stability and instability of standing waves bifurcating…
Instability of bound states for abstract nonlinear Schrödinger equations
Masahito Ohta
We study the instability of bound states for abstract nonlinear Schrödinger equations. We prove a new instability result for a borderline case between stability and instability. We…
Derivation and analysis of a new 2D Green-Naghdi system
Samer Israwi
We derive here a variant of the 2D Green-Naghdi equations that model the propagation of two-directional, nonlinear dispersive waves in shallow water. This new model has the same ac…
Energy Dissipation and Regularity for a Coupled Navier-Stokes and Q-Tensor System
Marius Paicu, Arghir Zarnescu
We study a complex non-newtonian fluid that models the flow of nematic liquid crystals. The fluid is described by a system that couples a forced Navier-Stokes system with a parabol…
Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function
Vesselin Petkov, Luchezar Stoyanov
Let be the abscissa of absolute convergence of the dynamical zeta function for several disjoint strictly convex compact obstacles $K_i \subset \R^N, i = 1,..., κ_0…
Existence and stability of noncharacteristic boundary-layers for the compressible Navier-Stokes and viscous MHD equations
Olivier Gues, Guy Metivier, Mark Williams +1
For a general class of hyperbolic-parabolic systems including the compressible Navier-Stokes and compressible MHD equations, we prove existence and stability of noncharacteristic v…
Inégalités de Poincaré cinétiques
Pascal Azerad, Stéphane Brull
In this note we prove Poincaré type inequalities for a family of kinetic equations. We apply this inequality to the variational solution of a linear kinetic model.
On The Local Well-Posedness for Some Systems of Coupled KdV Equations
Borys Alvarez-Samaniego, Xavier Carvajal
Using the theory developed by Kenig, Ponce, and Vega, we prove that the Hirota-Satsuma system is locally well-posed in Sobolev spaces for…
Large time existence for 3D water-waves and asymptotics
Borys Alvarez-Samaniego, David Lannes
We rigorously justify in 3D the main asymptotic models used in coastal oceanography, including: shallow-water equations, Boussinesq systems, Kadomtsev-Petviashvili (KP) approximati…
WKB analysis for nonlinear Schrödinger equations with potential
Rémi Carles
We justify the WKB analysis for the semiclassical nonlinear Schrödinger equation with a subquadratic potential. This concerns subcritical, critical, and supercritical cases as far…
Geometric optics and instability for semi-classical Schrodinger equations
Remi Carles
We prove some instability phenomena for semi-classical (linear or) nonlinear Schrodinger equations. For some perturbations of the data, we show that for very small times, we can ne…