Splash Singularities for the One-Phase Muskat Problem in Stable Regimes

Angel Castro; Diego Córdoba; Charles Fefferman; Francisco Gancedo

doi:10.1007/s00205-016-0999-6

Splash Singularities for the One-Phase Muskat Problem in Stable Regimes

Angel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo

Mathematics

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

In this paper we show the existence in finite time of splash singularities for the one-phase Muskat problem.

Original language	English (US)
Pages (from-to)	213-243
Number of pages	31
Journal	Archive for Rational Mechanics and Analysis
Volume	222
Issue number	1
DOIs	https://doi.org/10.1007/s00205-016-0999-6
State	Published - Oct 1 2016

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

Access to Document

10.1007/s00205-016-0999-6

Cite this

@article{c07f79e63a644b138f2dffd5f90edc35,

title = "Splash Singularities for the One-Phase Muskat Problem in Stable Regimes",

abstract = "In this paper we show the existence in finite time of splash singularities for the one-phase Muskat problem.",

author = "Angel Castro and Diego C{\'o}rdoba and Charles Fefferman and Francisco Gancedo",

note = "Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = oct,

day = "1",

doi = "10.1007/s00205-016-0999-6",

language = "English (US)",

volume = "222",

pages = "213--243",

journal = "Archive for Rational Mechanics and Analysis",

issn = "0003-9527",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Splash Singularities for the One-Phase Muskat Problem in Stable Regimes

AU - Castro, Angel

AU - Córdoba, Diego

AU - Fefferman, Charles

AU - Gancedo, Francisco

PY - 2016/10/1

Y1 - 2016/10/1

N2 - In this paper we show the existence in finite time of splash singularities for the one-phase Muskat problem.

AB - In this paper we show the existence in finite time of splash singularities for the one-phase Muskat problem.

UR - https://www.scopus.com/pages/publications/84962325767

UR - https://www.scopus.com/inward/citedby.url?scp=84962325767&partnerID=8YFLogxK

U2 - 10.1007/s00205-016-0999-6

DO - 10.1007/s00205-016-0999-6

M3 - Article

AN - SCOPUS:84962325767

SN - 0003-9527

VL - 222

SP - 213

EP - 243

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 1

ER -

Splash Singularities for the One-Phase Muskat Problem in Stable Regimes

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this