Work

On a non-periodic modified Euler equation: existence and quasi-invariant measures

Year: 2017

Type: preprint

Abstract: We consider a modified Euler equation on $\mathbb R^2$. We prove existence of weak global solutions for bounded (and fast decreasing at infinity) initial conditions and construct Gibbs-type measures on function spaces which are quasi-invariant for the Euler flow. Almost everywhere with respect to such measures (and, in particular, for less regular initial conditions), the flow is shown to be also globally defined.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1711.09045

Authors: Cruzeiro, Ana Bela, Symeonides, Alexandra

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2770949070

Cites: 11

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Related to: 10