Rigidity in generalized isothermal fluids
Abstract
We investigate the long-time behavior of solutions to the isothermal Euler equation. By writing the system with a suitable time-dependent scaling we prove that the densities of global solutions display universal dispersion rate and asymptotic profile. This result estends to Korteweg or quantum Navier Stokes equations, as well as generalizations of these equations where the convex pressure law is asymptotically linear near vacuum.
Domains
Analysis of PDEs [math.AP]Origin | Files produced by the author(s) |
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