Strong Solutions to Non-stationary Channel Flows of Heat-Conducting Viscous Incompressible Fluids with Dissipative Heating |
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Authors: | Michal Bene? |
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Institution: | 1.Department of Mathematics and Centre for Integrated Design of Advanced Structures, Faculty of Civil Engineering,Czech Technical University in Prague,Prague 6,Czech Republic |
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Abstract: | We study an initial-boundary-value problem for time-dependent flows of heat-conducting viscous incompressible fluids in channel-like
domains on a time interval (0,T). For the parabolic system with strong nonlinearities and including the artificial (the so called “do nothing”) boundary
conditions, we prove the local in time existence, global uniqueness and smoothness of the solution on a time interval (0,T
∗), where 0<T
∗≤T. |
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Keywords: | |
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