On universality of homogeneous Euler equation
arXiv:2101.05242 · doi:10.1088/1751-8121/abf586
Abstract
Master character of the multidimensional homogeneous Euler equation is discussed. It is shown that under restrictions to the lower dimensions certain subclasses of its solutions provide us with the solutions of various hydrodynamic type equations. Integrable one dimensional systems in terms of Riemann invariants and its extensions, multidimensional equations describing isoenthalpic and polytropic motions and shallow water type equations are among them.
arXiv comment20 pages, no figures
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