... and Schrödinger operators.
1 Déformations des structures de Poisson et formulation isospectrale des problèmes d'évolution non linéaires
2 Calcul de Weyl et déformations
2D-1D dimensional reduction in a toy model for magnetoelastic interactions
The paper deals with the dimensional reduction from 2D to 1D in magnetoelastic interactions. We adopt a simplified, but nontrivial model described by the Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We identify the limit problem by using the so-called energy method.
30 Years of Calderón’s Problem
In this article we survey some of the most important developments since the 1980 paper of A.P. Calderón in which he proposed the problem of determining the conductivity of a medium by making voltage and current measurements at the boundary.
A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model.
A 2D model for hydrodynamics and biology coupling applied to algae growth simulations
Cultivating oleaginous microalgae in specific culturing devices such as raceways is seen as a future way to produce biofuel. The complexity of this process coupling non linear biological activity to hydrodynamics makes the optimization problem very delicate. The large amount of parameters to be taken into account paves the way for a useful mathematical modeling. Due to the heterogeneity of raceways along the depth dimension regarding temperature, light intensity or nutrients availability, we adopt...
A Beale-Kato-Madja criterion for magneto-micropolar fluid equations with partial viscosity.
A better numerical solution stability by using the function developments in Cazacu's proper series.
A bilinear optimal control problem applied to a time dependent Hartree-Fock equation coupled with classical nuclear dynamics.
A blowup analysis of the mean field equation for arbitrarily signed vortices
We study the noncompact solution sequences to the mean field equation for arbitrarily signed vortices and observe the quantization of the mass of concentration, using the rescaling argument.
A blow-up criterion for the strong solutions to the nonhomogeneous Navier-Stokes-Korteweg equations in dimension three
This paper proves a Serrin’s type blow-up criterion for the 3D density-dependent Navier-Stokes-Korteweg equations with vacuum. It is shown that if the density and velocity field satisfy for some and any satisfying , then the strong solutions to the density-dependent Navier-Stokes-Korteweg equations can exist globally over . Here denotes the weak space.
A Boundary Element Method for a Two-Dimensional Interface Problem in Electromagnetics.
A boundary value problem for an elliptic equation with asymmetric coefficients in a non-schlicht domain.
A calculus of observables on a Dirac particle
A central WENO-TVD scheme for hyperbolic conservation laws.
A characterization of coherent states from varying Planck's constant
A class age-structured HIV/AIDS model with impulsive drug-treatment strategy.
A Combined Finite Element and Marker and Cell Method for Solving Navier-Stokes Equations.
A combined method for computing the field of the point source in a waveguide. (A weakly curved layered medium).