Extinction and decay estimates of solutions for a class of porous medium equations.
Liu, Wenjun, Wang, Mingxin, Wu, Bin (2007)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Global and exponential attractors for a Caginalp type phase-field problem”
Extinction and decay estimates of solutions for a class of porous medium equations.
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.
Global existence, uniqueness, and asymptotic behavior of solution for -Laplacian type wave equation.
Chen, Caisheng, Yao, Huaping, Shao, Ling (2010)
Journal of Inequalities and Applications [electronic only]
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Attractor for a viscous coupled Camassa-Holm equation.
Tian, Lixin, Xu, Ying (2010)
Advances in Difference Equations [electronic only]
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Global attractors for two-phase Stefan problems in one-dimensional space.
Aiki, T. (1997)
Abstract and Applied Analysis
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Asymptotic behavior of a sixth-order Cahn-Hilliard system
Alain Miranville (2014)
Open Mathematics
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Our aim in this paper is to study the asymptotic behavior, in terms of finite-dimensional attractors, of a sixth-order Cahn-Hilliard system. This system is based on a modification of the Ginzburg-Landau free energy proposed in [Torabi S., Lowengrub J., Voigt A., Wise S., A new phase-field model for strongly anisotropic systems, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2009, 465(2105), 1337–1359], assuming isotropy.
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.
On the decay estimates for the wave equation with a local degenerate or nondegenerate dissipation.
Tcheugoué Tébou, L.R. (1998)
Portugaliae Mathematica
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On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface
Wojciech M. Zajączkowski
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We consider the motion of a viscous compressible barotropic fluid in bounded by a free surface which is under constant exterior pressure. For a given initial density, initial domain and initial velocity we prove the existence of local-in-time highly regular solutions. Next assuming that the initial density is sufficiently close to a constant, the initial pressure is sufficiently close to the external pressure, the initial velocity is sufficiently small and the external force vanishes...
Local existence of solutions of a free boundary problem for equations of compressible viscous heat-conducting fluids
Ewa Zadrzyńska, Wojciech Zajączkowski (1998)
Applicationes Mathematicae
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The local existence and the uniqueness of solutions for equations describing the motion of viscous compressible heat-conducting fluids in a domain bounded by a free surface is proved. First, we prove the existence of solutions of some auxiliary problems by the Galerkin method and by regularization techniques. Next, we use the method of successive approximations to prove the local existence for the main problem.