The Surface Quasi-geostrophic Equation With Random Diffusion-Reference-Cited by-同舟云学术

The Surface Quasi-geostrophic Equation With Random Diffusion

Published:2018-11-06 Issue:23 Volume:2020 Page:9370-9385
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Buckmaster Tristan¹,Nahmod Andrea²,Staffilani Gigliola³,Widmayer Klaus⁴

Affiliation:

1. Department of Mathematics, Princeton University, Fine Hall, Princeton, NJ, USA

2. Department of Mathematics, University of Massachusetts, 710 N. Pleasant Street, Amherst, MA, USA

3. Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, USA

4. Institute of Mathematics, EPFL, Station 8, Lausanne, Switzerland

Abstract

Abstract Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for the associated Cauchy problem satisfying a Gevrey type bound. This article is inspired by a recent work of Glatt-Holtz and Vicol [16].

Funder

Mathematical Sciences of National Science Foundation

Simons Foundation

John Simon Guggenheim Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/23/9370/34659456/rny261.pdf

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