Nonlinear instability for the critically dissipative quasi-geostrophic equation

Susan Friedlander; Nataša Pavlović; Vlad Vicol

doi:10.1007/s00220-009-0851-z

Nonlinear instability for the critically dissipative quasi-geostrophic equation

Susan Friedlander
, Nataša Pavlović
, Vlad Vicol

Mathematics

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

35 Scopus citations

Abstract

We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.

Original language	English (US)
Pages (from-to)	797-810
Number of pages	14
Journal	Communications In Mathematical Physics
Volume	292
Issue number	3
DOIs	https://doi.org/10.1007/s00220-009-0851-z
State	Published - Oct 2009

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Nonlinear instability for the critically dissipative quasi-geostrophic equation",

abstract = "We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.",

author = "Susan Friedlander and Nata{\v s}a Pavlovi{\'c} and Vlad Vicol",

year = "2009",

month = oct,

doi = "10.1007/s00220-009-0851-z",

language = "English (US)",

volume = "292",

pages = "797--810",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

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T1 - Nonlinear instability for the critically dissipative quasi-geostrophic equation

AU - Friedlander, Susan

AU - Pavlović, Nataša

AU - Vicol, Vlad

PY - 2009/10

Y1 - 2009/10

N2 - We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.

AB - We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.

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U2 - 10.1007/s00220-009-0851-z

DO - 10.1007/s00220-009-0851-z

M3 - Article

AN - SCOPUS:70350580506

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VL - 292

SP - 797

EP - 810

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

Nonlinear instability for the critically dissipative quasi-geostrophic equation

Abstract

All Science Journal Classification (ASJC) codes

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