Global existence of solutions to the Proudman-Johnson equation
نویسندگان
چکیده
منابع مشابه
Global Existence of Solutions to the Proudman{johnson Equation
We show that there is no blowup solutions, for positive viscosity constant , to the equation f xxt f xxxx +ff xxx f x f xx = 0; x 2 (0; 1); t > 0 with (i) periodic boundary condition, or (ii) Dirichlet boundary condition f = f x = 0 or (iii) Neumann boundary condition f = f xx = 0 on the boundary x = 0; 1. Furthermore we show that every solution decays to the trivial steady state as t goes to i...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 2000
ISSN: 0386-2194
DOI: 10.3792/pjaa.76.149