On wave functions in quantum mechanics
On wave functions in quantum mechanics. I
On wave functions in quantum mechanics. Part 3. A theory of quantum mechanics where wave functions are defined by means of surely fundamental observables
On weak solution to a hyperbolic differential inclusion with nonmonotone discontinuous nonlinear term.
On weak solutions of semilinear hyperbolic-parabolic equations.
On weak solutions of steady Navier-Stokes equations for monatomic gas
We use estimates for the inverse Laplacian of the pressure introduced by Plotnikov, Sokolowski and Frehse, Goj, Steinhauer together with the nonlinear potential theory due to Adams, Hedberg, to get a priori estimates and to prove existence of weak solutions to steady isentropic Navier-Stokes equations with the adiabatic constant for the flows powered by volume non-potential forces and with for the flows powered by potential forces and arbitrary non-volume forces. According to our knowledge,...
On weak solutions of the equations of motion of a viscoelastic medium with variable boundary.
On weak solutions to the equations of non-stationary motion of heat-conducting incompressible viscous fluids: defect measure and energy equality
We consider the non-stationary Navier-Stokes equations completed by the equation of conservation of internal energy. The viscosity of the fluid is assumed to depend on the temperature, and the dissipation term is the only heat source in the conservation of internal energy. For the system of PDE's under consideration, we prove the existence of a weak solution such that: 1) the weak form of the conservation of internal energy involves a defect measure, and 2) the equality for the total energy is satisfied....
On weakly A-harmonic tensors
We study very weak solutions of an A-harmonic equation to show that they are in fact the usual solutions.
On weakly harmonic maps and Noether harmonic maps from a Riemann surface into a Riemannian manifold
On weak-strong uniqueness property for full compressible magnetohydrodynamics flows
This paper is devoted to the study of the weak-strong uniqueness property for full compressible magnetohydrodynamics flows. The governing equations for magnetohydrodynamic flows are expressed by the full Navier-Stokes system for compressible fluids enhanced by forces due to the presence of the magnetic field as well as the gravity and an additional equation which describes the evolution of the magnetic field. Using the relative entropy inequality, we prove that a weak solution coincides with the...
On weighted estimated for some systems of partial differential operators
On weighted estimates of solutions of nonlinear elliptic problems
The paper is devoted to the estimate u(x,k)Kk{capp,w(F)pw(B(x,))} 1p-1, for a solution of a degenerate nonlinear elliptic equation in a domain , , , under the boundary-value conditions for , for and where , is a weighted function from some Muckenhoupt class, and , are weighted capacity and measure of the corresponding sets.
Ondes centrées et discontinuités de contact globales pour les équations d’Euler axisymétriques de certains gaz parfaits isentropiques en dimension 2 d’espace
Ondes de raréfaction pour des systèmes quasilinéaires hyperboliques multidimensionnels
Ondes de surface faiblement non-linéaires
Cet exposé concerne l’approximation faiblement non-linéaire de problèmes aux limites invariants par changement d’échelles.
Ondes hyperboliques non linéaires globales
Ondes lentes et interaction contrôlée pour les équations strictement hyperboliques non linéaires
Ondes oscillantes semi-linéaires en 1.d
Ondes oscillantes simples quasilinéaires