Compressible Euler Equations with Transport Noise
Abstract
Abstract We study the isentropic compressible Euler equations in multi-dimensions with stochastic perturbation of transport type. On the one hand, this is motivated by the physical modelling in turbulence theory. On the other hand, it has been shown recently that this type of noise can have regularising effects. In this paper, we prove the existence of dissipative measure-valued martingale solutions, the weak-strong uniqueness property and the existence of Markov selections.
Fields of Study & Subjects
Navier-Stokes equation solutions
Stochastic processes and financial applications
Gas Dynamics and Kinetic Theory
Publication details
- Journal / source
- Journal of Dynamics and Differential Equations
- Publisher
- Springer Science and Business Media LLC
- Volume
- 38
- Issue
- S1
- Pages
- 105-133
- Publication date
- 17 June 2026
- Language
- EN