Large mass rigidity for a liquid drop model in 2D with kernels of finite moments

Author:

Merlet Benoit,Pegon Marc

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Reference36 articles.

1. Ground-states for the liquid drop and TFDW models with long-range attraction;['Alama, Stan', 'Bronsard, Lia', 'Choksi, Rustum', 'Topaloglu, Ihsan'];J. Math. Phys.,2017

2. Droplet breakup in the liquid drop model with background potential;['Alama, Stan', 'Bronsard, Lia', 'Choksi, Rustum', 'Topaloglu, Ihsan'];Commun. Contemp. Math.,2019

3. A nonlocal isoperimetric problem with density perimeter;['Alama, Stan', 'Bronsard, Lia', 'Topaloglu, Ihsan', 'Zuniga, Andres'];Calc. Var. Partial Differential Equations,2021

4. Connected components of sets of finite perimeter and applications to image processing;['Ambrosio, Luigi', 'Caselles, Vicent', 'Masnou, Simon', 'Morel, Jean-Michel'];J. Eur. Math. Soc. (JEMS),2021

5. [5] Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego Functions of bounded variation and free discontinuity problems, Oxford math. monographs, Clarendon Press, Oxford; New York, 2000

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1. A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness;Archive for Rational Mechanics and Analysis;2024-08-31

2. Local and Nonlocal Liquid Drop Models;CIM Series in Mathematical Sciences;2024

3. $$\Gamma $$–limit for a sharp interface model related to pattern formation on biomembranes;Calculus of Variations and Partial Differential Equations;2023-01-27

4. Second Order Expansion for the Nonlocal Perimeter Functional;Communications in Mathematical Physics;2022-11-19

5. Existence of minimizers for a generalized liquid drop model with fractional perimeter;Nonlinear Analysis;2022-11

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