Limits to Extensions of Burgers Equation
solv-int
2008-02-03 v1 Astrophysics
chao-dyn
comp-gas
Chaotic Dynamics
Cellular Automata and Lattice Gases
Exactly Solvable and Integrable Systems
Abstract
The vector Burgers equation is extended to include pressure gradients and gravity. It is shown that within the framework of the Cole-Hopf transformation there are no physical solutions to this problem. This result is important because it clearly demonstrates that any extension of Burgers equation to more interesting physical situations is strongly limited.
Keywords
Cite
@article{arxiv.solv-int/9411005,
title = {Limits to Extensions of Burgers Equation},
author = {Steven Nerney and Edward J. Schmahl and Z. E. Musielak},
journal= {arXiv preprint arXiv:solv-int/9411005},
year = {2008}
}
Comments
Plain Tex, no figures