Open Access
October, 2013 Blow-up problems in the strained vorticity dynamics and critical exponents
J. Math. Soc. Japan 65(4): 1079-1099 (October, 2013). DOI: 10.2969/jmsj/06541079


Two partial differential equations are studied from the view-point of critical exponents. They are equations for a scalar unknown of one spatial variable, and produce self-similar solutions of the Navier-Stokes equations. Global existence and blow-up are examined for them, and the critical exponent separating them is determined.


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Hisashi OKAMOTO. "Blow-up problems in the strained vorticity dynamics and critical exponents." J. Math. Soc. Japan 65 (4) 1079 - 1099, October, 2013.


Published: October, 2013
First available in Project Euclid: 24 October 2013

zbMATH: 1282.35096
MathSciNet: MR3127817
Digital Object Identifier: 10.2969/jmsj/06541079

Primary: 35B44
Secondary: 35B33 , 35Q30

Keywords: Blow-up , Critical exponent , Navier-Stokes equations

Rights: Copyright © 2013 Mathematical Society of Japan

Vol.65 • No. 4 • October, 2013
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