On the motion of nonviscous compressible fluids in domains with boundary
Paolo Secchi (1992)
Banach Center Publications
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Displaying similar documents to “-theory of boundary value problems for Sobolev type equations”
On the motion of nonviscous compressible fluids in domains with boundary
The boundary-contact problem of elasticity for homogeneous anisotropic media with a contact on some part of the boundaries.
Chkadua, O. (1995)
Georgian Mathematical Journal
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Stabilization of solutions of an exterior boundary value problem for some class of evolution systems
B. Kapitonov (1992)
Banach Center Publications
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On the solvability of the multidimensional version of the first Darboux problem for a model second-order degenerating hyperbolic equation.
Kharibegashvili, S. (1997)
Georgian Mathematical Journal
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Coercive inequalities on weighted Sobolev spaces
Agnieszka Kałamajska (1993)
Colloquium Mathematicae
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Integral representations for the solution of dynamic bending of a plate with displacement-traction boundary data.
Chudinovich, Igor, Constanda, Christian (2003)
Georgian Mathematical Journal
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Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics
Joanna Rencławowicz, Wojciech Zajączkowski (1998)
Applicationes Mathematicae
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Existence and uniqueness of local solutions for the initial-boundary value problem for the equations of an ideal relativistic fluid are proved. Both barotropic and nonbarotropic motions are considered. Existence for the linearized problem is shown by transforming the equations to a symmetric system and showing the existence of weak solutions; next, the appropriate regularity is obtained by applying Friedrich's mollifiers technique. Finally, existence for the nonlinear problem is proved...
Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
W. M. Zajączkowski (1995)
Annales Polonici Mathematici
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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Finite differences and boundary element methods for non-stationary viscous incompressible flow
Werner Varnhorn (1994)
Banach Center Publications
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We consider an implicit fractional step procedure for the time discretization of the non-stationary Stokes equations in smoothly bounded domains of ℝ³. We prove optimal convergence properties uniformly in time in a scale of Sobolev spaces, under a certain regularity of the solution. We develop a representation for the solution of the discretized equations in the form of potentials and the uniquely determined solution of some system of boundary integral equations. For the numerical computation...
On two-point boundary value problems for two-dimensional differential systems with singularities.
Mukhigulashvili, S. (2003)
Georgian Mathematical Journal
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Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I.
Duduchava, R., Natroshvili, D., Shargorodsky, E. (1995)
Georgian Mathematical Journal
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On uniqueness for a system of heat equations coupled in the boundary conditions.
Kordoš, M. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Representation of solutions of some boundary value problems of elasticity by a sum of the solutions of other boundary value problems.
Khomasuridze, N. (2003)
Georgian Mathematical Journal
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Convergence of the rotating fluids system in a domain with rough boundaries
David Gérard-Varet (2003)
Journées équations aux dérivées partielles
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We consider a rotating fluid in a domain with rough horizontal boundaries. The Rossby number, kinematic viscosity and roughness are supposed of characteristic size . We prove a convergence theorem on solutions of Navier-Stokes Coriolis equations, as goes to zero, in the well prepared case. We show in particular that the limit system is a two-dimensional Euler equation with a nonlinear damping term due to boundary layers. We thus generalize the results obtained on flat boundaries with...