数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (2): 153-166.

• 论文 • 上一篇    下一篇

ON STEFAN PROBLEM WITH PRESCRIBED CONVECTION

易法槐1, 邱宜坪2   

  1. 1. Suzhou University, Department of Mathematics, Suzhou, Jiangsu, 215006 China;
    2. Shanxi Mining College, Taiyuan, Shanxi, 030021 China
  • 收稿日期:1992-01-19 出版日期:1994-06-25 发布日期:1994-06-25

ON STEFAN PROBLEM WITH PRESCRIBED CONVECTION

Fahuak Yi1, Yipin Qiu2   

  1. 1. Suzhou University, Department of Mathematics, Suzhou, Jiangsu, 215006 China;
    2. Shanxi Mining College, Taiyuan, Shanxi, 030021 China
  • Received:1992-01-19 Online:1994-06-25 Published:1994-06-25

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摘要： This paper deals with the equation:
∂β(u)+▽[vβ(u)-▽u]=f in D'(QT) where QT=Ω×(0,T], Ω is a bounded domain with piecewise smooth boundary, β is maximal monotone graph,v:QT→Rm There are weak solutions to the evloutionary and seady-state problems associated with this equation, provided the boundary conditions on u are chosen appropriately. We also prove the uniqueness of both problems.

Abstract: This paper deals with the equation:
∂β(u)+▽[vβ(u)-▽u]=f in D'(QT) where QT=Ω×(0,T], Ω is a bounded domain with piecewise smooth boundary, β is maximal monotone graph,v:QT→Rm There are weak solutions to the evloutionary and seady-state problems associated with this equation, provided the boundary conditions on u are chosen appropriately. We also prove the uniqueness of both problems.

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