The $h$-principle and the equations of fluid dynamics

Abstract

In this note we survey some recent results for the Euler equations in compressible and incompressible fluid dynamics. The main point of all these theorems is the surprising fact that a suitable variant of Gromov's $h$-principle holds in several cases.

30 pages

Cited by in corpus (5)

• Dissipative continuous Euler flows
• Maximal dissipation and well-posedness for the compressible Euler system
• h-Principles for the incompressible Euler equations
• Non-uniqueness of admissible weak solutions to the Riemann problem for the isentropic Euler equations
• The One-Sided Isometric Extension Problem