Weak and Measure-valued Solutions to Evolutionary PDEs Page 1 Weak and Measure-valued
Solutions to Evolutionary PDEs Page 2 APPLIED MATHEMATICS AND MATHEMATICAL …

This book gives a general presentation of the mathematical and numerical connections
kinetic theory and conservation laws based on several earlier works with PL Lions and E …

We propose a general framework for the study of L 1 contractive semigroups of solutions to
conservation laws with discontinuous flux: u_t+ f (x, u) _x= 0,\qquad f (x, u)=\left {f^ l (u), & x< …

In this paper we consider multidimensional scalar conservation laws without BV estimates
defined in a subset Ω⊂ ℝ+× ℝ d. We show that, with a non-degeneracy hypothesis on the …

In this paper a streamline diffusion finite element method is introduced for the time-
dependent incompressible Navier-Stokes equations in a bounded domain in R 2 and R 3 in …

We extend our previous analysis of streamline diffusion finite element methods for
hyperbolic systems of conservation laws to include a shock-capturing term adding artificial …

This is a summary of five lectures delivered at the CIME course on “Advanced Numerical
Approximation of Nonlinear Hyperbolic Equations” held in Cetraro, Italy, on June 1997 …

We study the Cauchy problem for multi-dimensional nonlinear conservation laws with
multiplicative stochastic perturbation. Using the concept of measure-valued solutions and …

This paper is devoted to the study of the finite volume methods used in the discretization of
conservation laws defined on bounded domains. General assumptions are made on the …

This paper is devoted to the study of the convergence of weighted particle approximation of
nonlinear multidimensional conservation laws. For Euler equations the method is closely …