The global solvability to the equations of motion of viscous gas with an artificial viscosity
Neustupa, J.
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Displaying similar documents to “The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid”
The global solvability to the equations of motion of viscous gas with an artificial viscosity
On evolution inequalities of a modified Navier-Stokes type. III
Manfred Müller, Joachim Naumann (1979)
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This is the last from a series of three papers dealing with variational equations of Navier-Stokes type. It is shown that the theoretical results from the preceding parts (existence and regularity of solutions) can be applied to the problem of motion of a fluid through a tube.
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On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities
Martin Lanzendörfer, Jan Stebel (2011)
Applications of Mathematics
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We consider a class of incompressible fluids whose viscosities depend on the pressure and the shear rate. Suitable boundary conditions on the traction at the inflow/outflow part of boundary are given. As an advantage of this, the mean value of the pressure over the domain is no more a free parameter which would have to be prescribed otherwise. We prove the existence and uniqueness of weak solutions (the latter for small data) and discuss particular applications of the results. ...