Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Tristan Buckmaster"'
Autor:
Tristan Buckmaster, Sameer Iyer
Publikováno v:
Communications in Mathematical Physics. 389:197-271
In this paper we construct unstable shocks in the context of 2D isentropic compressible Euler in azimuthal symmetry. More specifically, we construct initial data that when viewed in self-similar coordinates, converges asymptotically to the unstable $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e39c06029ff973a7fd64f8556d75d427
https://doi.org/10.1007/s00220-021-04271-z
https://doi.org/10.1007/s00220-021-04271-z
Autor:
Vlad Vicol, Tristan Buckmaster
Publikováno v:
Bulletin of the American Mathematical Society. 58:1-44
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42892b374b016328a7ad19b70bdea1ef
https://doi.org/10.1090/bull/1713
https://doi.org/10.1090/bull/1713
Publikováno v:
Quarterly of Applied Mathematics. 78:261-275
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b6d6bffec55b53a7202dbe33933e83e
https://doi.org/10.1090/qam/1554
https://doi.org/10.1090/qam/1554
A fundamental question in fluid dynamics concerns the formation of discontinuous shock waves from smooth initial data. We prove that from smooth initial data, smooth solutions to the 2d Euler equations in azimuthal symmetry form a first singularity,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::780270962de7e8123cf0189a23a85ec3
http://arxiv.org/abs/2106.02143
http://arxiv.org/abs/2106.02143
A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of t
We analyze the shock formation process for the 3d non-isentropic Euler equations with the ideal gas law, in which sounds waves interact with entropy waves to produce vorticity. Building on our theory for isentropic flows in [3,4], we give a construct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca429e827bd06962ebd88ea13a1bad4e
http://arxiv.org/abs/2006.14789
http://arxiv.org/abs/2006.14789
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783030548988
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e65dbbc7bb95eacdbe4d51f2ee3ebb95
https://doi.org/10.1007/978-3-030-54899-5
https://doi.org/10.1007/978-3-030-54899-5
Autor:
Tristan Buckmaster, Vlad Vicol
Publikováno v:
Progress in Mathematical Fluid Dynamics ISBN: 9783030548988
The purpose of these lecture notes is to employ a heuristic approach in designing a convex integration scheme that produces non-conservative weak solutions to the Euler equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb004335ccc0de337195717d7f4410c9
https://doi.org/10.1007/978-3-030-54899-5_1
https://doi.org/10.1007/978-3-030-54899-5_1
Publikováno v:
Communications on Pure and Applied Mathematics
We prove that given any $\beta
Comment: 36 pages, 1 figure
Comment: 36 pages, 1 figure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::098c134eab8a4caec97ffc5b8a1820de
https://doi.org/10.1002/cpa.21781
https://doi.org/10.1002/cpa.21781
Publikováno v:
International Mathematics Research Notices. 2019:1265-1280
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e6e85f0ac1c725af9f9110983c87c86
https://doi.org/10.1093/imrn/rnx156
https://doi.org/10.1093/imrn/rnx156