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Global Existence and L_p Decay Estimate of Solutions for Viscous Cahn-Hilliard Equation with Inertial Term 被引量:4

Global Existence and L_p Decay Estimate of Solutions for Viscous Cahn-Hilliard Equation with Inertial Term
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摘要 In this paper,Cauchy problem of viscous Cahn-Hilliard equation with inertial term in multi-space dimension is considered.Based on the detailed analysis of Green function,using fixed point theorem,we get the global in-time existence of classical solution.Furthermore,we get Lp decay rate of the solution. In this paper,Cauchy problem of viscous Cahn-Hilliard equation with inertial term in multi-space dimension is considered.Based on the detailed analysis of Green function,using fixed point theorem,we get the global in-time existence of classical solution.Furthermore,we get L_p decay rate of the solution.
机构地区 College of Science
出处 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2019年第6期461-466,共6页 武汉大学学报(自然科学英文版)
基金 Supported by the National Natural Science Foundation of China(11571092)
关键词 CAHN-HILLIARD equation with INERTIAL TERM global existence of CLASSICAL solution Lp decay estimate fixed point theorem Cahn-Hilliard equation with inertial term global existence of classical solution L_p decay estimate fixed point theorem
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