Well Posedness for Pressureless Flow
Feimin Huang and Zhen Wang
We study the uniqueness problem for pressureless gases. Previous
results on this topic are only known for the case when the initial
data is assumed to be a bounded measurable function. This
assumption is unnatural because the solution is in general a Radon
measure. In this paper, the uniqueness of weak solution is proved
for the case when the initial data is a Radon measure. We show
that, besides Oleinik entropy condition, it is also important to
require the energy to be weakly continuous initially. Our
uniqueness result is obtained in the same functional
space as the existence theorem.
- Available as PostScript (370 Kbytes) or
gzipped PostScript (131 Kbytes; uncompress
- Feimin Huang,
- Zhen Wang,
- Publishing information:
- To appear in Commun.Math.Phys.,2001.
- Submitted by:
July 17 2001.
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>
2001-07-10 13:53:46 UTC