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Volumn 48, Issue 1, 1999, Pages 139-154

A Convexity Theorem for a Class of Anisotropic Flows of Plane Curves

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EID: 0012815872     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.1999.48.1273     Document Type: Article
Times cited : (27)

References (11)
  • 1
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  • 2
    • 0001315014 scopus 로고
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  • 3
    • 0001315014 scopus 로고
    • Parabolic equations for curves on surfaces, Part II. Intersections, blow-up and generalized solutions
    • _, Parabolic equations for curves on surfaces, Part II. Intersections, blow-up and generalized solutions, Ann. Math., 133 (1991), 171-215.
    • (1991) Ann. Math. , vol.133 , pp. 171-215
  • 4
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    • Multiphase thermomechanics with interfacial structure, 2. Evolution of on isothermal interface
    • _ & M. E. GURTIN, Multiphase thermomechanics with interfacial structure, 2. Evolution of on isothermal interface, Arch. Rational Mech. Anal., 108 (1989), 323-391.
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 323-391
    • Gurtin, M.E.1
  • 5
    • 0040531581 scopus 로고    scopus 로고
    • Anisotropic flows for convex plane curves
    • K. S. CHOU & X. P. ZHU, Anisotropic flows for convex plane curves, Duke Math. J. 97 (1999), 579-619.
    • (1999) Duke Math. J. , vol.97 , pp. 579-619
    • Chou, K.S.1    Zhu, X.P.2
  • 6
    • 84974005139 scopus 로고
    • Evolving plane curves by curvature in relative geometries
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    • Gage, M.1
  • 7
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    • The shrinking of convex plane curves by the heat equation
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    • Hamilton, R.1
  • 8
    • 84972528479 scopus 로고
    • The heat equation shrinks embedded plane curves to round points
    • M. GRAYSON, The heat equation shrinks embedded plane curves to round points, J. Differential Geom., 26 (1987), 285-314.
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    • Grayson, M.1
  • 10
    • 0012861884 scopus 로고
    • Singularities and self-intersections of curves evolving on surfaces
    • J. A. OAKS, Singularities and self-intersections of curves evolving on surfaces, Indiana Univ. Math. J., 43 (1994), 959-981.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 959-981
    • Oaks, J.A.1
  • 11
    • 0039993987 scopus 로고    scopus 로고
    • Asympototic behavior of anisotropic curve flows
    • X. P. ZHU, Asympototic behavior of anisotropic curve flows, J. Differential Geom., 48 (1998), 225-274.
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    • Zhu, X.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.