Abstract
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.
Citation
Hisashi OKAMOTO. "Blow-up problems in the strained vorticity dynamics and critical exponents." J. Math. Soc. Japan 65 (4) 1079 - 1099, October, 2013. https://doi.org/10.2969/jmsj/06541079
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