On the Initial Boundary Value Problems for the Enskog Equation in Irregular Domains

Author: Heintz, A.

Source: Journal of Statistical Physics, Volume 90, Numbers 3-4, February 1998 , pp. 663-695(33)

Publisher: Springer

OR

Price: \$47.00 plus tax (Refund Policy)

Abstract:

The paper is concerned with the Enskog equation with a constant high density factor for large initial data in L1(Rn). The initial boundary value problem is investigated for bounded domains with irregular boundaries. The proof of an H-theorem for the case of general domains and boundary conditions is given. The main result guarantees the existence of global solutions of boundary value problems for large initial data with all v-moments initially finite and domains having boundary with finite Hausdorff measure and satisfying a cone condition. Existence and uniqueness are first proved for the case of bounded velocities. The solution has finite norm \int (\sup_{0 \leq t \leq T} f (t_0+t,x+v t, v)) \sqrt{1+v^2}\ dq dv, where q = (t0, x) is taken on all possible n-dimensional planes Q(v) in Rn+l intersecting a fixed point and orthogonal to vectors (1, v), vRn.

Document Type: Research Article

Affiliations: Department of Mathematics, Chalmers University of Technology. S-412-96 Göteborg, Sweden

Publication date: February 1, 1998

Related content

Key

Free content
New content
Open access content
Subscribed content
Free trial content

A | A | A | A