Work

Compressible Euler Equations with Transport Noise

Year: 2026

Type: article

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.

Source: Journal of Dynamics and Differential Equations

DOI: 10.1007/s10884-026-10514-1

Authors: Richard Boadi, Dominic Breit, Thamsanqa Castern Moyo

Institutions: Clausthal University of Technology, University of Duisburg-Essen, FernUniversität in Hagen

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Deutsche Forschungsgemeinschaft