Application of the Method of Kinetic Equation to the Darcy-Stefan Problem
The Cauchy problem for the Darcy--Stefan model that describes freezing
and thawing of a continuous medium filtering through a porous ground
is considered. To study the problem, a version of the method of
kinetic equation, which was proposed by P.~I.~Plotnikov,
is applied, the kinetic formulation of the problem is constructed
and, by its virtue, the existence theorem for weak entropy
solutions is proved.
- Available as PDF (184 Mbytes).
- Sergei Sazhenkov,
- Publishing information:
- Russian version to appear in the scientific journal "Izvestia Altaiskogo
gosudarstvennogo universiteta (News of Altai State University", Barnaul,
- Submitted by:
February 16 2004.
Preprint Server Homepage
© The copyright for the following
documents lies with the authors. Copies of these documents made by electronic
or mechanical means including information storage and retrieval systems, may
only be employed for personal use.
Conservation Laws Preprint Server <email@example.com>
Last modified: Mon Feb 16 12:18:51 MET 2004