Error estimate for the characteristic method involving Oldroyd derivative in a tensorial transport problem.
Error estimates for scalar conservation laws by a kinetic approach.
Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations
Existence d'ondes de raréfaction pour des écoulements isentropiques
Existence of global weak solutions to a symmetrically hyperbolic system with a source.
Existence of solutions to generalized von Foerster equations with functional dependence
We prove the existence of solutions to a differential-functional system which describes a wide class of multi-component populations dependent on their past time and state densities and on their total size. Using two different types of the Hale operator, we incorporate in this model classical von Foerster-type equations as well as delays (past time dependence) and integrals (e.g. influence of a group of species).
Explicit Finite Element Schemes for First Order Symmetric Hyperbolic Systems.
Extrapolation Applied to Certain Discretization Methods Solving the Initial Value Problem for Hyperbolic Differential Equations.