TY - JOUR
T1 - SMOOTH SELF-SIMILAR IMPLODING PROFILES TO 3D COMPRESSIBLE EULER
AU - Buckmaster, Tristan
AU - Cao-Labora, Gonzalo
AU - Gomez-Serrano, Javier
N1 - Funding Information:
Received December 21, 2022, and, in revised form, January 23, 2023. 2020 Mathematics Subject Classification. Primary 35Q31. The first author was supported by the NSF grants DMS-2243205 and DMS-1900149, a Simons Foundation Mathematical and Physical Sciences Collaborative Grant and a grant from the Institute for Advanced Study. The second author was supported by a grant from the Centre de Formació Interdisci-plinària Superior, a MOBINT-MIF grant from the Generalitat de Catalunya and a Praecis Presidential Fellowship from the Massachusetts Institute of Technology. The second author would also like to thank the Department of Mathematics at Princeton University for partially supporting him during his stay at Princeton and for their warm hospitality. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program through the grant agreement 852741 (the second and third authors). The third author was partially supported by NSF through Grant DMS-1763356 and by the AGAUR project 2021-SGR-0087 (Catalunya). The second and third authors were partially supported by MICINN (Spain) research grant number PID2021– 125021NA–I00. Email address: tristanb@umd.edu Email address: gcaol@mit.edu Email address: javier gomez serrano@brown.edu
Publisher Copyright:
© 2023 Brown University
PY - 2023
Y1 - 2023
N2 - The aim of this note is to present the recent results by Buckmaster, Cao-Labora, and Gómez-Serrano [Smooth imploding solutions for 3D compressible fluids, Arxiv preprint arXiv:2208.09445, 2022] concerning the existence of “imploding singular-ities” for the 3D isentropic compressible Euler and Navier-Stokes equations. Our work builds upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [Invent. Math. 227 (2022), pp. 247-413; Ann. of Math. (2) 196 (2022), pp. 567-778; Ann. of Math. (2) 196 (2022), pp.
AB - The aim of this note is to present the recent results by Buckmaster, Cao-Labora, and Gómez-Serrano [Smooth imploding solutions for 3D compressible fluids, Arxiv preprint arXiv:2208.09445, 2022] concerning the existence of “imploding singular-ities” for the 3D isentropic compressible Euler and Navier-Stokes equations. Our work builds upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [Invent. Math. 227 (2022), pp. 247-413; Ann. of Math. (2) 196 (2022), pp. 567-778; Ann. of Math. (2) 196 (2022), pp.
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U2 - 10.1090/qam/1661
DO - 10.1090/qam/1661
M3 - Article
AN - SCOPUS:85162982469
SN - 0033-569X
VL - 81
SP - 517
EP - 532
JO - Quarterly of Applied Mathematics
JF - Quarterly of Applied Mathematics
IS - 3
ER -