Diane L. Denny
Abstract:
We study a system of nonlinear equations that models the flow of
a compressible, inviscid, barotropic fluid.
The value of the density is known at a point in the spatial domain
and the initial value of the velocity is known.
The purpose of this paper is to prove the existence of a unique,
classical solution to this system of equations under periodic
boundary conditions.
Submitted February 28, 2015. Published August 17, 2015.
Math Subject Classifications: 35A05.
Key Words: Existence; uniqueness; compressible; fluid.
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Diane L. Denny Department of Mathematics and Statistics Texas A&M University - Corpus Christi Corpus Christi, TX 78412, USA email: diane.denny@tamucc.edu |
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