Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime-Reference-Cited by-同舟云学术

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Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime

Published:2018-10-29 Issue:2 Volume:232 Page:591-695
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Chen Gui-Qiang G.^ORCID,Secchi Paolo^ORCID,Wang Tao^ORCID

Funder

Engineering and Physical Sciences Research Council

Royal Society--Wolfson Research Merit Award

Ministero dell’Istruzione, dell’Università e della Ricerca

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-018-1330-5.pdf

Reference52 articles.

1. Alinhac, S.: Existence d'ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Commun. Partial Differ. Eqs. 14, 173–230 (1989). https://doi.org/10.1080/03605308908820595

2. Anile, A.M.: Relativistic Fluids and Magneto-fluids, with Application in Astrophysics and Plasma Physics. Cambridge University Press, Cambridge, 1990. https://doi.org/10.1017/CBO9780511564130

3. Artola, M., Majda, A.J.: Nonlinear development of instabilities in supersonic vortex sheets: I. The basic kink modes. Phys. D 28, 253–281 (1987). https://doi.org/10.1016/0167-2789(87)90019-4

4. Benzoni-Gavage, S., Serre, D.: Multidimensional Hyperbolic Partial Differential Equations: First-Order Systems and Applications. Oxford University Press, Oxford, 2007. https://doi.org/10.1093/acprof:oso/9780199211234.001.0001

5. Catania, D., D'Abbicco, M., Secchi, P.: Weak stability of the plasma-vacuum interface problem. J. Differ. Equ. 261, 3169–3219 (2016). https://doi.org/10.1016/j.jde.2016.05.023

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1. On the Existence and Stability of 2D Compressible Current-Vortex Sheets;CIM Series in Mathematical Sciences;2024

2. Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets;Archive for Rational Mechanics and Analysis;2023-05-09

3. Stabilization effect of elasticity on three-dimensional compressible vortex sheets;Journal de Mathématiques Pures et Appliquées;2023-04

4. Persistence of the steady planar normal shock structure in 3‐D unsteady potential flows;Journal of the London Mathematical Society;2023-02-13

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