In this paper, we construct global distributional solutions to the volume-preserving mean-curvature flow using a variant of the time-discrete gradient flow approach proposed independently by Almgren, Taylor and Wang (SIAM J. Control Optim. 31(2): 387- 438, 1993) and Luckhaus and Sturzenhecker (Calc. Var. Partial Differential Equations 3(2): 253-271, 1995).
Global solutions to the volume-preserving mean-curvature flow / Mugnai, Luca; Seis, Christian; Spadaro, EMANUELE NUNZIO. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 1432-0835. - 55:1(2016), pp. 1-23. [10.1007/s00526-015-0943-x]
Global solutions to the volume-preserving mean-curvature flow
Emanuele Spadaro
2016
Abstract
In this paper, we construct global distributional solutions to the volume-preserving mean-curvature flow using a variant of the time-discrete gradient flow approach proposed independently by Almgren, Taylor and Wang (SIAM J. Control Optim. 31(2): 387- 438, 1993) and Luckhaus and Sturzenhecker (Calc. Var. Partial Differential Equations 3(2): 253-271, 1995).| File | Dimensione | Formato | |
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