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 …

The global-in-time existence of weak solutions to the barotropic compressible quantum
Navier–Stokes equations in a three-dimensional torus for large data is proved. The model …

The Riemann problem for one dimensional generalized Chaplygin gas dynamics is
considered. Its two characteristic fields are genuinely nonlinear, but the nonclassical …

In the first part of this paper, we prove the existence of a global strong solution for the
Korteweg system in one dimension. In the second part, motivated by the processes of …

The e+ e−→ ZZ cross section at s= 182.7 and 188.6 GeV has been measured using the
ALEPH detector. A cut-based analysis yields cross section measurements of [Formula: see …

We are concerned with global finite-energy solutions of the three-dimensional compressible
Euler–Poisson equations with gravitational potential and general pressure law, especially …

In this paper, a compensated compactness framework is established for sonic-subsonic
approximate solutions to the n-dimensional (n≥ 2) Euler equations for steady irrotational …

We are concerned with a global existence theory for finite‐energy solutions of the
multidimensional Euler‐Poisson equations for both compressible gaseous stars and …

In this paper, we construct a sequence of regular hyperbolic systems (1.1) to approximate
the general system of isentropic gas dynamics (1.2). First, for each fixed approximation …

We are concerned with the global existence and large time behavior of entropy solutions to
the one-dimensional unipolar hydrodynamic model for semiconductors in the form of Euler …