Editorial comment on the paper Huashui Zhan, Junning Zhao: Some remarks on Prandtl system
Electromagnetic scattering at composite objects : a novel multi-trace boundary integral formulation
Since matrix compression has paved the way for discretizing the boundary integral equation formulations of electromagnetics scattering on very fine meshes, preconditioners for the resulting linear systems have become key to efficient simulations. Operator preconditioning based on Calderón identities has proved to be a powerful device for devising preconditioners. However, this is not possible for the usual first-kind boundary formulations for electromagnetic...
Electromagnetic scattering at composite objects : a novel multi-trace boundary integral formulation
Since matrix compression has paved the way for discretizing the boundary integral equation formulations of electromagnetics scattering on very fine meshes, preconditioners for the resulting linear systems have become key to efficient simulations. Operator preconditioning based on Calderón identities has proved to be a powerful device for devising preconditioners. However, this is not possible for the usual first-kind boundary formulations for electromagnetic...
Elliptic boundary value problems with nonvariational perturbation and the finite element method
Elliptic regularization and Navier-Stokes system.
Entire solutions for a quasilinear problem in the presence of sublinear and super-linear terms.
Équations de von Kármán. II. Approximation de la solution
Dans l'article, on a donné quelques conditions suffisantes pour l'unicité locale et globale de la solution du problème. On a construit une solution variationnelle du problème par la méthode de Newton-Kantorovitch et la méthode du prolongement continu avec ces conditions suffisantes pour l'unicité.
Error Analysis for Absorbing Boundary Conditions.
Evolution Problems and Minimizing Movements
We recall the definition of Minimizing Movements, suggested by E. De Giorgi, and we consider some applications to evolution problems. With regards to ordinary differential equations, we prove in particular a generalization of maximal slope curves theory to arbitrary metric spaces. On the other hand we present a unifying framework in which some recent conjectures about partial differential equations can be treated and solved. At the end we consider some open problems.
Existence for quasilinear elliptic systems with quadratic growth having a particular structure.
Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
Existence of solutions for non-linear systems of differential-functional equations of parabolic type in an arbitrary domain
Existence of solutions to nonlocal and singular elliptic problems via Galerkin method.
Existence of solutions to nonlocal and singular variational elliptic inequality via Galerkin method.