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Global Existence and Blow-up of Solutions to Multi-dimensional (n ≤ 5) Viscous Cahn-Hilliard Equation

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【作者】 黄锐尹景学李颖花王春朋

【Author】 HUANG Rui , YIN Jing-xue LI Ying-hua and WANG Chun-peng , (School of Mathematics, Jilin University, Changchun, 130012)

【机构】 School of MathematicsJilin UniversityChangchun130012130012

【摘要】 <正>In this paper we consider the viscous Cahn-Hilliard equation with spatial dimension n ≤5, and established global existence of weak solutions for small initial value and blow-up of solutions for any nontrivial initial data.

【Abstract】 In this paper we consider the viscous Cahn-Hilliard equation with spatial dimension n ≤ 5, and established global existence of weak solutions for small initial value and blow-up of solutions for any nontrivial initial data.

【基金】 The NSF (10125107) of China and partially supported by a Specific Foundation for Ph.D Specialities of Educational Department of China.
  • 【文献出处】 Northeastern Mathematical Journal ,东北数学(英文版) , 编辑部邮箱 ,2005年03期
  • 【分类号】O175.2
  • 【被引频次】7
  • 【下载频次】68
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