Advances in Differential Equations

Remarks on global existence for a family of inequalities and applications to Mullins and Navier-Stokes equations

J. M. Rakotoson

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Abstract

We give a new method based on the existence of a family of inequalities to prove the global existence of a time evolution equation. We apply this method to various problems.

Article information

Source
Adv. Differential Equations Volume 10, Number 1 (2005), 1-18.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867893

Mathematical Reviews number (MathSciNet)
MR2106118

Zentralblatt MATH identifier
1109.35090

Subjects
Primary: 35K55: Nonlinear parabolic equations
Secondary: 35B10: Periodic solutions 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 76D05: Navier-Stokes equations [See also 35Q30]

Citation

Rakotoson, J. M. Remarks on global existence for a family of inequalities and applications to Mullins and Navier-Stokes equations. Adv. Differential Equations 10 (2005), no. 1, 1--18. https://projecteuclid.org/euclid.ade/1355867893.


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