关于一类曲线收缩流的保积性和能量衰减性的研究
관우일류곡선수축류적보적성화능량쇠감성적연구
On the Area-Preserving and Energy-Decaying Properties for a Class of Curve Shortening Flows
  • 万方数据
    中山大学学报（自然科学版） 중산대학학보（자연과학판）
    ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS SUNYATSENI
    2009年 6期 7-9 ,共3页

    冯兆永%徐士河

    풍조영%서사하

    曲线收缩流%三重接点%Young's law 麯線收縮流%三重接點%Young's law
    곡선수축류%삼중접점%Young's law
    curve shortening flow%triple junction%Young's law
    对一类带接触角的曲线收缩流的性质进行了研究.利用Garcke和Novick-Cohen的能量定义,证明了其具有保积性和能量衰减性.稳态解在能量达到最小值时取得.
    대일류대접촉각적곡선수축류적성질진행료연구.이용Garcke화Novick-Cohen적능량정의,증명료기구유보적성화능량쇠감성.은태해재능량체도최소치시취득.
    The properties of a class of curve shortening flows with contact angle is studied. With the energy defined by Garcke and Novick-Cohen, it is proved that they have the area-preserving and energy-decaying properties. The stationary solution is achieved at the minimal energy.
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