Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Temporal boundary value problems in interfacial fluid dynamics

Timur Milgrom and David M. Ambrose
Applicable Analysis 92 (5) 922 (2013)
DOI: 10.1080/00036811.2011.641176
See this article

Algebraic spiral solutions of the 2d incompressible Euler equations

Volker Elling
Bulletin of the Brazilian Mathematical Society, New Series 47 (1) 323 (2016)
DOI: 10.1007/s00574-016-0141-2
See this article

Global regularity for a Birkhoff–Rott- approximation of the dynamics of vortex sheets of the 2D Euler equations

Claude Bardos, Jasmine S. Linshiz and Edriss S. Titi
Physica D: Nonlinear Phenomena 237 (14-17) 1905 (2008)
DOI: 10.1016/j.physd.2008.01.003
See this article

Regularized Euler- $$\alpha $$ α motion of an infinite array of vortex sheets

R. E. Caflisch, F. Gargano, M. Sammartino and V. Sciacca
Bollettino dell'Unione Matematica Italiana 10 (1) 113 (2017)
DOI: 10.1007/s40574-016-0097-6
See this article

Vortex Layers of Small Thickness

R. E. Caflisch, M. C. Lombardo and M. M. L. Sammartino
Communications on Pure and Applied Mathematics 73 (10) 2104 (2020)
DOI: 10.1002/cpa.21897
See this article

Two vortex-blob regularization models for vortex sheet motion

Sung-Ik Sohn
Physics of Fluids 26 (4) 044105 (2014)
DOI: 10.1063/1.4872027
See this article

A theorem on measures in dimension 2 and applications to vortex sheets

Tomasz Cieślak and Marta Szumańska
Journal of Functional Analysis 266 (12) 6780 (2014)
DOI: 10.1016/j.jfa.2014.04.002
See this article

Nonnegative measures belonging to H1(R2)

Grzegorz Jamróz
Comptes Rendus Mathematique 353 (6) 529 (2015)
DOI: 10.1016/j.crma.2015.04.010
See this article

Compressible vortex sheets separating from solid boundaries

Volker Elling
Discrete and Continuous Dynamical Systems 36 (12) 6781 (2016)
DOI: 10.3934/dcds.2016095
See this article

On the Convergence of the Spectral Viscosity Method for the Two-Dimensional Incompressible Euler Equations with Rough Initial Data

Samuel Lanthaler and Siddhartha Mishra
Foundations of Computational Mathematics 20 (5) 1309 (2020)
DOI: 10.1007/s10208-019-09440-0
See this article

Nonlinear Conservation Laws and Applications

Hyunkyung Lim, Yan Yu, James Glimm and David H. Sharp
The IMA Volumes in Mathematics and its Applications, Nonlinear Conservation Laws and Applications 153 405 (2011)
DOI: 10.1007/978-1-4419-9554-4_23
See this article

Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains

D. Iftimie, M. C. Lopes Filho and H. J. Nussenzveig Lopes
Communications in Partial Differential Equations 45 (2) 109 (2020)
DOI: 10.1080/03605302.2019.1663433
See this article

Global regularity and convergence of a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the two-dimensional Euler equations

Claude Bardos, Edriss S. Titi and Jasmine S. Linshiz
Communications on Pure and Applied Mathematics 63 (6) 697 (2010)
DOI: 10.1002/cpa.20305
See this article

Kinetic Energy Represented in Terms of Moments of Vorticity and Applications

Tomasz Cieślak, Krzysztof Oleszkiewicz, Marcin Preisner and Marta Szumańska
Journal of Mathematical Fluid Mechanics 21 (4) (2019)
DOI: 10.1007/s00021-019-0456-z
See this article

Numerical study of non-uniqueness for 2D compressible isentropic Euler equations

Alberto Bressan, Yi Jiang and Hailiang Liu
Journal of Computational Physics 445 110588 (2021)
DOI: 10.1016/j.jcp.2021.110588
See this article

Self-Similar 2d Euler Solutions with Mixed-Sign Vorticity

Volker Elling
Communications in Mathematical Physics 348 (1) 27 (2016)
DOI: 10.1007/s00220-016-2755-z
See this article

Non-existence of strong regular reflections in self-similar potential flow

Volker Elling
Journal of Differential Equations 252 (3) 2085 (2012)
DOI: 10.1016/j.jde.2011.10.017
See this article

A multiscale model for Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Raaghav Ramani and Steve Shkoller
Journal of Computational Physics 405 109177 (2020)
DOI: 10.1016/j.jcp.2019.109177
See this article

Complex singularity analysis for vortex layer flows

R.E. Caflisch, F. Gargano, M. Sammartino and V. Sciacca
Journal of Fluid Mechanics 932 (2022)
DOI: 10.1017/jfm.2021.966
See this article

Shock polars for non-polytropic compressible potential flow

Volker W. Elling
Communications on Pure and Applied Analysis 21 (5) 1581 (2022)
DOI: 10.3934/cpaa.2022032
See this article

Nonideal Rayleigh–Taylor mixing

Hyunkyung Lim, Justin Iwerks, James Glimm and David H. Sharp
Proceedings of the National Academy of Sciences 107 (29) 12786 (2010)
DOI: 10.1073/pnas.1002410107
See this article

Barotropic Euler shock polars

Volker Elling
Zeitschrift für angewandte Mathematik und Physik 73 (2) (2022)
DOI: 10.1007/s00033-022-01685-0
See this article