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Lower bounds for the blow-up time in a temperature dependent Navier-Stokes flow
Authors:L.E. Payne
Affiliation:a Department of Mathematics, Cornell University, Ithaca, NY 14853-4201, USA
b Department of Applied Mathematics, Hanyang, Hanyang University, Ansan, Gyeonggido 426-791, South Korea
Abstract:In this paper we consider two different initial-boundary value problems in temperature dependent viscous flow when the temperature equation has a nonlinear heat source term. When blow-up occurs we derive lower bounds for the blow-up time in each case.
Keywords:Blow-up   Lower bounds   Navier-Stokes flow
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