Colombeau's theory and shock wave solutions for systems of PDEs.
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces
We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modeling strategy is suggested and studied. It uses a sequence of simplified models, approximating the original one with increasing accuracy. Boundary value problems generated by these simplified models are solved numerically, and the approximation and modeling errors are estimated by a posteriori estimates of...
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces
We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modeling strategy is suggested and studied. It uses a sequence of simplified models, approximating the original one with increasing accuracy. Boundary value problems generated by these simplified models are solved numerically, and the approximation and modeling errors are estimated by a posteriori estimates of...
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces
We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modeling strategy is suggested and studied. It uses a sequence of simplified models, approximating the original one with increasing accuracy. Boundary value problems generated by these simplified models are solved numerically, and the approximation and modeling errors are estimated by a posteriori estimates of...
Combined effects of homogenization and singular perturbations in elasticity.
Commentary on local and boundary regularity of weak solutions to Navier-Stokes equations.
Common general practical method for solving ordinary and partial differential equations
Commutative rings of differential operators connected with two-dimensional Abelian varieties.
Commutative rings of differential operators corresponding to multidimensional algebraic varieties.
Commutator Estimates for Pseudodifferential Operators with Negative Definite Functions as Symbols.
Commutator expansions and smoothing properties of generalized Benjamin-Ono equations
Commutator Methods and a Smoothing Property of the Schrödinger Evolution Group.
Compacité par compensation
Compacité par compensation : condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant
Compacité par compensation et espaces de Hardy
Compacité par compensation et régularité 2-microlocale
Compacité par compensation pour une classe de systèmes hyperboliques de p ≥ 3 lois de conservation.
We are concerned with a strictly hyperbolic system of conservation laws ut + f(u)x = 0, where u runs in a region Ω of Rp, such that two of the characteristic fields are genuinely non-linear whereas the other ones are of Blake Temple's type. We begin with the case p = 3 and show, under more or less technical assumptions, that the approximate solutions (uε)ε>0 given either by the vanishing viscosity method or by the Godunov scheme converge to weak entropy solutions as ε goes to 0. The first...
Compacité par compensation trilinéaire et optique géométrique non linéaire
Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line
We investigate the long-time behaviour of solutions to the Korteweg-de Vries equation with a zero order dissipation and an additional forcing term, when the space variable varies over , and prove that it is described by a maximal compact attractor in .
Compact attractors for a Stefan problem with kinetics.