Generalized Cahn-Hilliard equations based on a microforce balance.
Miranville, Alain (2003)
Journal of Applied Mathematics
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Displaying similar documents to “Asymptotic behavior of a sixth-order Cahn-Hilliard system”
Generalized Cahn-Hilliard equations based on a microforce balance.
Global and exponential attractors for a Caginalp type phase-field problem
Brice Bangola (2013)
Open Mathematics
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We deal with a generalization of the Caginalp phase-field model associated with Neumann boundary conditions. We prove that the problem is well posed, before studying the long time behavior of solutions. We establish the existence of the global attractor, but also of exponential attractors. Finally, we study the spatial behavior of solutions in a semi-infinite cylinder, assuming that such solutions exist.
Finite dimensional global attractor for a class of doubly nonlinear parabolic equations
Alain Miranville (2006)
Open Mathematics
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Our aim in this paper is to study the long time behavior of a class of doubly nonlinear parabolic equations. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.
Global attractors for two-phase Stefan problems in one-dimensional space.
Aiki, T. (1997)
Abstract and Applied Analysis
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Long-term damped dynamics of the extensible suspension bridge.
Bochicchio, Ivana, Giorgi, Claudio, Vuk, Elena (2010)
International Journal of Differential Equations
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Boundary stabilization of memory type for the porous-thermo-elasticity system.
Soufyane, Abdelaziz, Afilal, Mounir, Chacha, Mama (2009)
Abstract and Applied Analysis
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Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation.
Ye, Yaojun (2010)
Advances in Difference Equations [electronic only]
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Exponential stability for the wave equation with weak nonmonotone damping.
Martinez, P., Vancostenoble, J. (2000)
Portugaliae Mathematica
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A two-dimensional Landau-Lifshitz model in studying thin film micromagnetics.
Li, Jingna (2009)
Abstract and Applied Analysis
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On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model
Dalibor Pražák, Josef Žabenský (2013)
Open Mathematics
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We consider the so-called Ladyzhenskaya model of incompressible fluid, with an additional artificial smoothing term ɛΔ3. We establish the global existence, uniqueness, and regularity of solutions. Finally, we show that there exists an exponential attractor, whose dimension we estimate in terms of the relevant physical quantities, independently of ɛ > 0.
A transmission problem for beams on nonlinear supports.
Ma, To Fu, Portillo Oquendo, Higidio (2006)
Boundary Value Problems [electronic only]
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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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