非守恒相场模型解的blow-up
Blow up of solutions to a nonconserved phase field model
摘要
讨论了一类非守恒相场模型解的性态,证明当a2p - 1 < 0 及初值充分大时解在有限时刻 blow up.
Assuming that a 2p-1 <0 and initial value is large enough, is proved the finite time blow up of solution of the nonconserved phase field model.
出处
《纯粹数学与应用数学》
CSCD
1999年第3期44-47,共4页
Pure and Applied Mathematics
关键词
非守恒相场模型
爆破
nonconserved phase field model
blow up
参考文献2
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1Peter W. Bates,Songmu Zheng. Inertial manifolds and inertial sets for the phase-field equations[J] 1992,Journal of Dynamics and Differential Equations(2):375~398
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2Gunduz Caginalp. An analysis of a phase field model of a free boundary[J] 1986,Archive for Rational Mechanics and Analysis(3):205~245