Numerical discrete algorithm for some nonlinear problems.
Sburlan, Cristina (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Displaying similar documents to “Viscous-inviscid coupled problem with interfacial data.”
Numerical discrete algorithm for some nonlinear problems.
Local existence of solutions of the free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids
G. Ströhmer, W. Zajączkowski (1999)
Applicationes Mathematicae
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Local existence of solutions is proved for equations describing the motion of a viscous compressible barotropic and self-gravitating fluid in a domain bounded by a free surface. First by the Galerkin method and regularization techniques the existence of solutions of the linearized momentum equations is proved, next by the method of successive approximations local existence to the nonlinear problem is shown.
A plane problem of incompressible magnetohydro-dynamics with viscosity and resistivity depending on the temperature
Giovanni Cimatti (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The plane flow of a fluid obeying the equations of magnetohydrodynamics is studied under the assumption that both the viscosity and the resistivity depend on the temperature. Some results of existence, non-existence, and uniqueness of solution are proved.
Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid
Feireisl, Eduard
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Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids
Tomáš Bárta (2013)
Open Mathematics
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We show global existence for a class of models of fluids that change their properties depending on the concentration of a chemical. We allow that the stress tensor in (t, x) depends on the velocity and concentration at other points and times. The example we have in mind foremost are materials with memory.
Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary
Jong Yeoul Park, Sun Hye Park (2009)
Czechoslovak Mathematical Journal
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We prove the existence and uniform decay rates of global solutions for a hyperbolic system with a discontinuous and nonlinear multi-valued term and a nonlinear memory source term on the boundary.