Variational bounds in dissipative systems

Peter Constantin; Charles Doering

doi:10.1016/0167-2789(94)00237-K

Variational bounds in dissipative systems

Peter Constantin, Charles Doering

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

26 Scopus citations

Abstract

We present a general method for estimating the space-time average dissipation in a large class of dissipative PDEs. The method leads to variational problems with spectral side conditions.

Original language	English (US)
Pages (from-to)	221-228
Number of pages	8
Journal	Physica D: Nonlinear Phenomena
Volume	82
Issue number	3
DOIs	https://doi.org/10.1016/0167-2789(94)00237-K
State	Published - Apr 15 1995
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(94)00237-K

Cite this

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title = "Variational bounds in dissipative systems",

abstract = "We present a general method for estimating the space-time average dissipation in a large class of dissipative PDEs. The method leads to variational problems with spectral side conditions.",

author = "Peter Constantin and Charles Doering",

note = "Funding Information: {\textquoteright} Partially supported by NSF and DOE. * Partially supported by NSF.",

year = "1995",

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doi = "10.1016/0167-2789(94)00237-K",

language = "English (US)",

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pages = "221--228",

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T1 - Variational bounds in dissipative systems

AU - Constantin, Peter

AU - Doering, Charles

N1 - Funding Information: ’ Partially supported by NSF and DOE. * Partially supported by NSF.

PY - 1995/4/15

Y1 - 1995/4/15

N2 - We present a general method for estimating the space-time average dissipation in a large class of dissipative PDEs. The method leads to variational problems with spectral side conditions.

AB - We present a general method for estimating the space-time average dissipation in a large class of dissipative PDEs. The method leads to variational problems with spectral side conditions.

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U2 - 10.1016/0167-2789(94)00237-K

DO - 10.1016/0167-2789(94)00237-K

M3 - Article

AN - SCOPUS:0001638906

SN - 0167-2789

VL - 82

SP - 221

EP - 228

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 3

ER -

Variational bounds in dissipative systems

Abstract

All Science Journal Classification (ASJC) codes

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