On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions
| Type of publication: | Article |
| Citation: | |
| Publication status: | Published |
| Journal: | Comment. Math. Univ. Carolin. |
| Volume: | 52 |
| Number: | 1 |
| Year: | 2011 |
| Pages: | 89--114 |
| Note: | Preprint NCMM no. 2010-024 |
| URL: | http://www.karlin.mff.cuni.cz/... |
| Abstract: | In this paper, we establish the large-data and long-time existence of a suitable weak solution to an initial and boundary value problem driven by a system of partial differential equations consisting of the Navier-Stokes equations with the viscosity increasing with a scalar quantity k that evolves according to an evolutionary convection diffusion equation with the right hand side that is merely L1 -integrable over space and time. We also formulate a conjecture concerning regularity of such a solution. |
| Keywords: | Incompressible fluid, large data existence, Navier-Stokes-Fourier equations, regularity, suitable weak solution, the viscosity increasing with a scalar quantity, turbulent kinetic energy model |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
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