Non local solutions of a nonlinear hyperbolic partial differential equation.
Lopes Frota, Cícero (1994)
Portugaliae Mathematica
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Displaying similar documents to “On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation”
Non local solutions of a nonlinear hyperbolic partial differential equation.
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.
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.
Unilateral dynamic contact of von Kármán plates with singular memory
Igor Bock, Jiří Jarušek (2007)
Applications of Mathematics
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The solvability of the contact problem is proved provided the plate is simply supported. The singular memory material is assumed. This makes it possible to get a priori estimates important for the strong convergence of gradients of velocities of solutions to the penalized problem.
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.