Results 161 to 170 of about 157,319 (379)
Bilinear estimates and applications to 2d NLS [PDF]
, 2001 J. Colliander +3 more
openalex +1 more source
Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley +1 more source
Yang--Baxter maps of KdV, NLS and DNLS type on division rings [PDF]
arXivWe construct nocommutative set-theoretical solutions to the Yang--Baxter equation related to the KdV, the NLS and the derivative NLS equations. In particular, we construct several Yang--Baxter maps of KdV type and we show that one of them is completely integrable in the Liouville sense.
arxiv
Normal form approach to the one-dimensional periodic cubic nonlinear Schrödinger equation in almost critical Fourier-Lebesgue spaces [PDF]
arXiv, 2018 In this paper, we study the one-dimensional cubic nonlinear Schr\"odinger equation (NLS) on the circle. In particular, we develop a normal form approach to study NLS in almost critical Fourier-Lebesgue spaces. By applying an infinite iteration of normal form reductions introduced by the first author with Z. Guo and S.
arxiv
HIV-1 Infection Requires a Functional Integrase NLS [PDF]
, 2001 M. Bouyac-Bertoia +7 more
openalex +1 more source
Lineage labeling with zebrafish hand2 Cre and CreERT2 recombinase CRISPR knock‐ins
Developmental Dynamics, EarlyView.Abstract Background The ability to generate endogenous Cre recombinase drivers using CRISPR‐Cas9 knock‐in technology allows lineage tracing, cell type‐specific gene studies, and in vivo validation of inferred developmental trajectories from phenotypic and gene expression analyses. This report describes endogenous zebrafish hand2 Cre and CreERT2 drivers
Zhitao Ming +14 more
wiley +1 more source
Nonintegrable Spatial Discrete Nonlocal Nonlinear Schrödinger Equation [PDF]
arXiv, 2019 Integrable and nonintegrable discrete nonlinear Schr\"odinger equations (NLS) are significant models to describe many phenomena in physics. Recently, Ablowitz and Musslimani introduced a class of reverse space, reverse time and reverse space-time nonlocal integrable equations, including nonlocal NLS, nonlocal sine-Gordon equation and nonlocal Davey ...
arxiv
The Gordon-Haus effect for modified NLS solitons [PDF]
, 2001 E. V. Doktorov, I. S. Kuten
openalex +1 more source
Instability of an integrable nonlocal NLS
Comptes Rendus. Mathématique, 2017 In this note we discuss the global dynamics of an integrable nonlocal NLS on $\mathbb{R}$, which has been the object of recent investigation by integrable systems methods. We prove two results which are in striking contrast with the case of the local cubic focusing NLS on $\mathbb{R}$.
openaire +3 more sources
Dynamic expression of lamin B1 during adult neurogenesis in the vertebrate brain
Developmental Dynamics, EarlyView.Abstract Background In mammals, specific brain regions such as the dentate gyrus (DG) of the hippocampus and the subventricular zone (SVZ) of the lateral ventricles harbor adult neural stem/progenitor cells (ANSPCs) that give rise to new neurons and contribute to structural and functional brain plasticity.
Diana Zhilina +12 more
wiley +1 more source