Global Existence of Solutions to the Proudman{johnson Equation
نویسندگان
چکیده
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 in nity.
منابع مشابه
Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation
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