Critical Neumann problem with competing Hardy potentials.
Critical point theory applied to a class of the systems of the superquadratic wave equations.
Criticality conditions for a finite homogenized natural-uranium fueled reactor with prescribed thermal neutron flux
Darboux transformation for classical acoustic spectral problem.
Darboux transforms of Dupin surfaces
We present a Möbius invariant construction of the Darboux transformation for isothermic surfaces by the method of moving frames and use it to give a complete classification of the Darboux transforms of Dupin surfaces.
Das Goursat-Problem für
Decay estimates for the compressible Navier-Stokes equations in unbounded domains.
Decay for travelling waves in the Gross–Pitaevskii equation
Decay of solutions of some nonlinear equations.
Decay of solutions to equations modelling incompressible bipolar non-Newtonian fluids.
Décomposition en profils pour les solutions des équations de Navier-Stokes
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
Decompositions of Lq and H0 1,q with respect to the operator rot.
Deficiency Indices of Singular Schrödinger Operators.
Deformation from symmetry for Schrödinger equations of higher order on unbounded domains.
Déformations isomonodromiques des singularités régulières
Density of elliptic solitons.
Density of heat curves in the moduli space
Density-dependent incompressible fluids with non-Newtonian viscosity
We study the system of PDEs describing unsteady flows of incompressible fluids with variable density and non-constant viscosity. Indeed, one considers a stress tensor being a nonlinear function of the symmetric velocity gradient, verifying the properties of -coercivity and -growth, for a given parameter . The existence of Dirichlet weak solutions was obtained in [2], in the cases if or if , being the dimension of the domain. In this paper, with help of some new estimates (which lead...
Derivation and mathematical analysis of a nonlocal model for large amplitude internal waves
This note is devoted to the study of a bi-fluid generalization of the nonlinear shallow-water equations. It describes the evolution of the interface between two fluids of different densities. In the case of a two-dimensional interface, this systems contains unexpected nonlocal terms (that are of course not present in the usual one-fluid shallow water equations). We show here how to derive this systems from the two-fluid Euler equations and then show that it is locally well-posed.