Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data

Buckmaster, Tristan; Drivas, Theodore D.; Shkoller, Steve; Vicol, Vlad

doi:10.1007/s40818-022-00141-6

Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data

Journal Article · 19 November 2022 · Annals of PDE

DOI:https://doi.org/10.1007/s40818-022-00141-6· OSTI ID:2424605

Buckmaster, Tristan; Drivas, Theodore D.; Shkoller, Steve; Vicol, Vlad

Not provided.

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE

OSTI ID:: 2424605

Journal Information:: Annals of PDE, Journal Name: Annals of PDE Journal Issue: 2 Vol. 8; ISSN 2524-5317

Country of Publication:: United States

Language:: English

References (12)

Global Ill‐Posedness of the Isentropic System of Gas Dynamics Chiodaroli, Elisabetta; De Lellis, Camillo; Kreml, Ondřej Communications on Pure and Applied Mathematics, Vol. 68, Issue 7 https://doi.org/10.1002/cpa.21537	journal	August 2014
Formation of Point Shocks for 3D Compressible Euler Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad Communications on Pure and Applied Mathematics, Vol. 76, Issue 9 https://doi.org/10.1002/cpa.22068	journal	May 2022
Shocks make the Riemann problem for the full Euler system in multiple space dimensions ill-posed Klingenberg, Christian; Kreml, Ondřej; Mácha, Václav Nonlinearity, Vol. 33, Issue 12 https://doi.org/10.1088/1361-6544/aba3b2	journal	October 2020
The stability of multidimensional shock fronts Majda, Andrew Memoirs of the American Mathematical Society, Vol. 41, Issue 275 https://doi.org/10.1090/memo/0275	journal	January 1983
Formation and construction of shock forp-system Chen, Shuxing; Dong, Liming Science in China Series A: Mathematics, Vol. 44, Issue 9 https://doi.org/10.1007/BF02877431	journal	September 2001
Formation and construction of a shock wave for 3-D compressible Euler equations with the spherical initial data Yin, Huicheng Nagoya Mathematical Journal, Vol. 175 https://doi.org/10.1017/S002776300000893X	journal	January 2004
Shock Formation and Vorticity Creation for 3d Euler Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad Communications on Pure and Applied Mathematics, Vol. 76, Issue 9 https://doi.org/10.1002/cpa.22067	journal	May 2022
The existence of multidimensional shock fronts Majda, Andrew Memoirs of the American Mathematical Society, Vol. 43, Issue 281 https://doi.org/10.1090/memo/0281	journal	January 1983
Shock Development in Spherical Symmetry Christodoulou, Demetrios; Lisibach, André Annals of PDE, Vol. 2, Issue 1 https://doi.org/10.1007/s40818-016-0009-1	journal	April 2016
Formation of Shocks for 2D Isentropic Compressible Euler Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad Communications on Pure and Applied Mathematics, Vol. 75, Issue 9 https://doi.org/10.1002/cpa.21956	journal	October 2020
An Onsager Singularity Theorem for Turbulent Solutions of Compressible Euler Equations Drivas, Theodore D.; Eyink, Gregory L. Communications in Mathematical Physics, Vol. 359, Issue 2 https://doi.org/10.1007/s00220-017-3078-4	journal	December 2017
Formation and propagation of singularities for $2\times 2$ quasilinear hyperbolic systems Kong, De-xing Transactions of the American Mathematical Society, Vol. 354, Issue 8 https://doi.org/10.1090/S0002-9947-02-02982-3	journal	April 2002

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