Verres de Spin et optimisation combinatoire
Vortex dans les condensats de Bose Einstein
Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics
We discuss the asymptotics of the parabolic Ginzburg-Landau equation in dimension Our only asumption on the initial datum is a natural energy bound. Compared to the case of “well-prepared” initial datum, this induces possible new energy modes which we analyze, and in particular their mutual interaction. The two dimensional case is qualitatively different and requires a separate treatment.
Vortex pinning with bounded fields for the Ginzburg–Landau equation
Vortex rings for the Gross-Pitaevskii equation
We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross–Pitaevskii (GP) equation in dimension . We also extend the asymptotic analysis of the free field Ginzburg–Landau equation to a larger class of equations, including the Ginzburg–Landau equation for superconductivity as well as the traveling wave equation for GP. In particular we rigorously derive a curvature equation for the concentration set (i.e. line vortices if ).
Vortices for a variational problem related to superconductivity
Vortices in Ginzburg-Landau equations.
Vorticité dans les équations de Ginzburg-Landau de la supraconductivité
Vorticité dans les modèles de Ginzburg-Landau pour la supraconductivité
Weak- solutions for a model of self-gravitating particles with an external potential
The existence of solutions to a nonlinear parabolic equation describing the temporal evolution of a cloud of self-gravitating particles with a given external potential is studied in weak- spaces (i.e. Markiewicz spaces). The main goal is to prove the existence of global solutions and to study their large time behaviour.
Weierstrass elliptic solutions to a Zakharov equation in plasmas with power law nonlinearity
In this paper, travelling wave solutions for the Zakharov equation in plasmas with power law nonlinearity are studied by using the Weierstrass elliptic function method. As a result, some previously known solutions are recovered, and at the same time some new ones are also given.
Weighted Monte Carlo methods for approximate solution of a nonlinear Boltzmann equation.
Which values of the volume growth and escape time exponent are possible for a graph?
Wigner series and (semi)classical limits with periodic potentials
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity
Heisenberg chain and random walks.
Začátky mathematické krystallografie [I.]
Začátky mathematické krystallografie [II.]
Začátky mathematické krystallografie [III.]
Začátky mathematické krystallografie [IV.]