Remark on cavitation solutions of stationary compressible Navier-Stokes equations in one dimension
Vladimír Lovicar, Ivan Straškraba (1991)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Positivity theorem”
Remark on cavitation solutions of stationary compressible Navier-Stokes equations in one dimension
Boundary regularity of flows under perfect slip boundary conditions
Petr Kaplický, Jakub Tichý (2013)
Open Mathematics
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We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.
Existence of weak solutions for a nonlinear elliptic system.
Fang, Ming, Gilbert, Robert P. (2009)
Boundary Value Problems [electronic only]
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Global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid
Jiří Neustupa (1988)
Aplikace matematiky
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The paper contains the proof of global existence of weak solutions to the mixed initial-boundary value problem for a certain modification of a system of equations of motion of viscous compressible fluid. The modification is based on an application of an operator of regularization to some terms appearing in the system of equations and it does not contradict the laws of fluid mechanics. It is assumed that pressure is a known function of density. The method of discretization in time is...