Finite time singularities for the free boundary incompressible Euler equations

Annals of Mathematics - Tập 178 Số 3 - Trang 1061-1134 - 2013
Ángel Castro1, Diego Córdoba2, Charles Fefferman3, Francisco Gancedo4, Javier Gómez-Serrano5
1École Normale Supérieure, Paris, France, Instituto de Ciencias Matemáticas, Madrid, Spain and Universidad Autónoma de Madrid, Madrid, Spain
2Consejo Superior de Investigaciones Científicas, Madrid, Spain
3Princeton University, Princeton, NJ
4Universidad de Sevilla, Sevilla, Spain
5Consejo Superior de Investigaciones Científicas, Madrid, Spain and Princeton University, Princeton, NJ

Tóm tắt

Từ khóa


Tài liệu tham khảo

10.1215/00127094-1345653

10.1080/03605300903296736

10.1007/s00222-007-0088-4

10.1002/cpa.20085

10.1017/S0022112082003164

10.1137/S0036142993245750

10.1002/cpa.3160460903

10.1073/pnas.1115948108

10.1073/pnas.1101518108

10.4007/annals.2012.175.2.9

10.1017/CBO9781139235792.006

10.1002/1097-0312(200012)53:12<1536::AID-CPA2>3.0.CO;2-Q

10.1016/j.aim.2009.07.016

10.4007/annals.2011.173.1.10

10.2140/apde.2013.6.447

10.1090/S0894-0347-07-00556-5

Coutand, 2012, On the finite-time splash singularity for the 3-D free-surface Euler equations

10.1080/03605308508820396

10.1016/j.crma.2009.05.005

10.4007/annals.2012.175.2.6

10.1090/S0894-0347-05-00484-4

10.1007/s00205-012-0604-6

10.4007/annals.2005.162.109

10.1137/1.9781611970906

Nalimov, 1974, Institut Gidrodinamiki Sibirskogo Otdelenija Akademii Nauk SSSR. Dinamika Splošnoĭ Sredy, The Cauchy-Poisson problem, 104

Nirenberg, 1972, Journal of Differential Geometry, 6, 561, 10.4310/jdg/1214430643

Nishida, 1977, Journal of Differential Geometry, 12, 629, 10.4310/jdg/1214434231

10.1002/cpa.20213

10.2307/2000401

10.1007/s002220050177

10.1090/S0894-0347-99-00290-8

10.1007/s00222-009-0176-8

10.1007/s00222-010-0288-1

10.2977/prims/1195184016

10.1002/cpa.20226