On the Lp Estimates for Elliptic Boundary Problems.
On Lp Estimates for Quasi-Elliptic Boundary Problems.
The Boltzmann-Enskog equation with large data; wellposedness and regularity
A priori estimates for hypoelliptic differential equations in a half-space
On the stationary Boltzmann equation
For stationary kinetic equations, entropy dissipation can sometimes be used in existence proofs similarly to entropy in the time dependent situation. Recent results in this spirit obtained in collaboration with A. Nouri, are here presented for the nonlinear stationary Boltzmann equation in bounded domains of with given indata and diffuse reflection on the boundary.
On stationary kinetic systems of Boltzmann type and their fluid limits
The first part reviews some recent ideas and L¹-existence results for non-linear stationary equations of Boltzmann type in a bounded domain in ℝⁿ and far from global Maxwellian equilibrium. That is an area not covered by the DiPerna and P. L. Lions methods for the time-dependent Boltzmann equation from the late 1980-ies. The final part discusses the more classical perturbative case close to global equilibrium and corresponding small mean free path limits of fully non-linear stationary problems....
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
On a functional equation arising in the kinetic theory of gases
The problem of finding the summational collision invariants for the Boltzmann equation leads to a functional equation related to the Cauchy equation. The solution of this equation is known under different assumptions on its unknown . Most proofs assume that the equation is pointwise satisfied, while the result needed in kinetic theory concerns the solutions of the equation when the latter is satisfied almost everywhere. The only results of this kind appear to be due to the authors of the present...
solutions to the stationary Boltzmann equation in a slab
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