Zobrazeno 1 - 10
of 421
pro vyhledávání: '"Tataru, Daniel"'
Global solutions for 1D cubic defocusing dispersive equations, Part IV: general dispersion relations
Autor:
Ifrim, Mihaela, Tataru, Daniel
A broad conjecture, formulated by the authors in earlier work, reads as follows: "Cubic defocusing dispersive one dimensional flows with small initial data have global dispersive solutions". Notably, here smallness is only assumed in $H^s$ Sobolev sp
Externí odkaz:
http://arxiv.org/abs/2410.10052
We prove an interpolation theorem for nonlinear functionals defined on scales of Banach spaces that generalize Besov spaces. It applies to functionals defined only locally, requiring only some weak Lipschitz conditions, extending those introduced by
Externí odkaz:
http://arxiv.org/abs/2410.06909
We consider equivariant solutions for the Schr\"odinger Map equation in $2+1$ dimensions, with values into $\mathbb{S}^2$. Within each equivariance class $m \in \mathbb{Z}$ this admits a lowest energy nontrivial steady state $Q^m$, which extends to a
Externí odkaz:
http://arxiv.org/abs/2408.16973
Autor:
Ifrim, Mihaela, Tataru, Daniel
In recent work the authors proposed a broad global well-posedness conjecture for cubic defocusing dispersive equations in one space dimension, and then proved this conjecture in two cases, namely for one dimensional semilinear and quasilinear Schr\"o
Externí odkaz:
http://arxiv.org/abs/2404.09970
We provide a complete local well-posedness theory in $H^s$ based Sobolev spaces for the free boundary incompressible Euler equations with zero surface tension on a connected fluid domain. Our well-posedness theory includes: (i) Local well-posedness i
Externí odkaz:
http://arxiv.org/abs/2309.05625
Autor:
Tonasso, Roméo, Tataru, Daniel, Rauch, Hippolyte, Pozsgay, Vincent, Pfeiffer, Thomas, Uythoven, Erik, Rodríguez-Martínez, David
Publikováno v:
Acta Astronautica, Volume 218, May 2024, Pages 1-17
An efficient characterization of scientifically significant locations is essential prior to the return of humans to the Moon. The highest resolution imagery acquired from orbit of south-polar shadowed regions and other relevant locations remains, at
Externí odkaz:
http://arxiv.org/abs/2306.11013
Autor:
Ifrim, Mihaela, Tataru, Daniel
The first target of this article is the local well-posedness question for 1D quasilinear Schr\"odinger equations with cubic nonlinearities. The study of this class of problems, in all dimensions, was initiated in pioneering work of Kenig-Ponce-Vega f
Externí odkaz:
http://arxiv.org/abs/2306.00570
Autor:
Ifrim, Mihaela, Tataru, Daniel
This article is concerned with one dimensional dispersive flows with cubic nonlinearities on the real line. In a very recent work, the authors have introduced a broad conjecture for such flows, asserting that in the defocusing case, small initial dat
Externí odkaz:
http://arxiv.org/abs/2210.17007
The skew mean curvature flow is an evolution equation for a $d$ dimensional manifold immersed into $\mathbb{R}^{d+2}$, and which moves along the binormal direction with a speed proportional to its mean curvature. In this article, we prove small data
Externí odkaz:
http://arxiv.org/abs/2209.08941
Autor:
Ifrim, Mihaela, Tataru, Daniel
This article is devoted to a general class of one dimensional NLS problems with a cubic nonlinearity. The question of obtaining scattering, global in time solutions for such problems has attracted a lot of attention in recent years, and many global w
Externí odkaz:
http://arxiv.org/abs/2205.12212