The Boltzmann-Enskog equation with large data; wellposedness and regularity
The Exact Analytical Solution for the Gas Lubricated Bearing in the Slip and Continuum Flow Regime
The grazing collisions asymptotics of the non cut-off Kac equation
The initial value problem for nonlinear Boltzmann equation
The parabolic-parabolic Keller-Segel equation
I present in this note recent results on the uniqueness and stability for the parabolic-parabolic Keller-Segel equation on the plane, obtained in collaboration with S. Mischler in [11].
The pressure of the two dimensional Coulomb gas at low and intermediate temperatures
The stationary Boltzmann equation in with given indata
An -existence theorem is proved for the nonlinear stationary Boltzmann equation for soft and hard forces in with given indata on the boundary, when the collision operator is truncated for small velocities.
The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces
Theory of Dilute Binary Granular Gas Mixtures
A computer-aided method for accurately carrying out the Chapman-Enskog expansion of the Boltzmann equation, including its inelastic variant, is presented and employed to derive a hydrodynamic description of a dilute binary mixture of smooth inelastic spheres. Constitutive relations, formally valid for all physical values of the coefficients of restitution, are calculated by carrying out the pertinent Chapman-Enskog expansion to sufficient high orders in the Sonine polynomials to ensure numerical...