The Surface Quasi-geostrophic Equation with Random Diffusion

Tristan Buckmaster; Andrea Nahmod; Gigliola Staffilani; Klaus Widmayer

doi:10.1093/imrn/rny261

The Surface Quasi-geostrophic Equation with Random Diffusion

Tristan Buckmaster, Andrea Nahmod, Gigliola Staffilani, Klaus Widmayer

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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].

Original language	English (US)
Pages (from-to)	9370-9385
Number of pages	16
Journal	International Mathematics Research Notices
Volume	2020
Issue number	23
DOIs	https://doi.org/10.1093/imrn/rny261
State	Published - Nov 1 2020

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rny261

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title = "The Surface Quasi-geostrophic Equation with Random Diffusion",

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].",

author = "Tristan Buckmaster and Andrea Nahmod and Gigliola Staffilani and Klaus Widmayer",

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AU - Staffilani, Gigliola

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N2 - 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].

AB - 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].

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The Surface Quasi-geostrophic Equation with Random Diffusion

Abstract

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