Zobrazeno 1 - 10
of 490
pro vyhledávání: '"Labora A"'
In this paper we construct smooth, non-radial solutions of the defocusing nonlinear Schr\"odinger equation that develop an imploding finite time singularity, both in the periodic setting and the full space.
Comment: 44 pages, 5 figures
Comment: 44 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/2410.04532
Borwein integrals are one of the most popularly known phenomena in contemporary mathematics. They were found in 2001 by David Borwein and Jonathan Borwein and consist of a simple family of integrals involving the cardinal sine function ``sinc'', so t
Externí odkaz:
http://arxiv.org/abs/2407.15856
In this paper we construct smooth, non-radial solutions of the compressible Euler and Navier-Stokes equation that develop an imploding finite time singularity. Our construction is motivated by the works [Merle, Rapha\"{e}l, Rodnianski, and Szeftel, A
Externí odkaz:
http://arxiv.org/abs/2310.05325
An extension of the Cartwright-McMullen theorem in fractional calculus for the smooth Stieltjes case
Autor:
Labora, Daniel Cao
In 1976, Donald Cartwright and John McMullen characterized axiomatically the Riemann-Liouvile fractional integral in a paper that was published in 1978. The motivation for their work was to answer affirmatively to a conjecture stated by J. S. Lew a f
Externí odkaz:
http://arxiv.org/abs/2309.07148
Autor:
Labora, Daniel Cao
One of the most famous results in Complex Analysis is the Little Picard Theorem, that characterizes the image set of an arbitrary entire function. Specifically, the theorem states that this image set is either the whole complex plane or the whole com
Externí odkaz:
http://arxiv.org/abs/2308.06159
Autor:
Labora, Daniel Cao, Fernández, Francisco Javier, Tojo, Fernando Adrián F., Villanueva, Carlos
When dealing with certain mathematical problems, it is sometimes necessary to show that some function induces a metric on a certain space. When this function is not a well renowned example of a distance, one has to develop very particular arguments t
Externí odkaz:
http://arxiv.org/abs/2305.13251
The aim of this note is to present the recent results in [Buckmaster, Cao-Labora, G\'omez-Serrano, arXiv:2208.09445, 2022], concerning the existence of "imploding singularities" for the 3D isentropic compressible Euler and Navier-Stokes equations. Ou
Externí odkaz:
http://arxiv.org/abs/2301.10101
Building upon the pioneering work [Merle, Rapha\"el, Rodnianski, and Szeftel, Ann. of Math., 196(2):567-778, 2022, Ann. of Math., 196(2):779-889, 2022, Invent. Math., 227(1):247-413, 2022] we construct exact, smooth self-similar imploding solutions t
Externí odkaz:
http://arxiv.org/abs/2208.09445
Publikováno v:
Frontiers in Sociology, Vol 9 (2024)
The COVID-19 pandemic was an unprecedented global event in recent history. Beginning with an initial outbreak in Wuhan, China, in December 2019, the virus spread rapidly across the globe, causing millions of deaths and triggering an unprecedented hea
Externí odkaz:
https://doaj.org/article/2aed31b96d704102a7596580b72b5ad9
Autor:
Labora, Amanda N., Kapoor, Nimmi S.
Publikováno v:
In Surgical Oncology Insight September 2024 1(3)