GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO CAHN–HILLIARD EQUATION WITH INERTIAL TERM

DOI10.1142/S0129167X12500875zbMath1250.35146OpenAlexW2089616873MaRDI QIDQ2909605

Zhiqiang Wei, Yin-Xia Wang

Publication date: 6 September 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12500875

zbMATH Keywords

contraction mapping principlesmall initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order semilinear hyperbolic equations (35L76)

Related Items (9)

Decay estimate of solutions to the sixth order damped Boussinesq equation ⋮ Asymptotic behavior of solutions to a class of nonlinear wave equations of sixth order with damping ⋮ Large-time behavior of solutions to the Rosenau equation with damped term ⋮ Asymptotic profile of solutions to the semilinear beam equation ⋮ Asymptotic profiles of solutions to sixth order Boussinesq-type equations with damping ⋮ Global existence and asymptotic behavior of solutions to the generalized damped Boussinesq equation ⋮ Decay estimate of solutions for a semi-linear wave equation ⋮ Asymptotic behavior of global solutions to the Boussinesq equation in multidimensions ⋮ Asymptotic behavior of solutions to an evolution equation for bidirectional surface waves in convecting fluids

Cites Work

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• Global existence and asymptotic behaviour of solutions for the generalized Boussinesq equation
• DECAY ESTIMATES OF SOLUTIONS TO A SEMI-LINEAR DISSIPATIVE PLATE EQUATION
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• Convergence of solutions to cahn-hilliard equation
• HYPERBOLIC RELAXATION OF THE VISCOUS CAHN–HILLIARD EQUATION IN 3-D

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