The focusing cubic NLS with inverse-square potential in three space dimensions [PDF]
We consider the focusing cubic nonlinear Schr\"odinger equation with inverse-square potential in three space dimensions. We identify a sharp threshold between scattering and blowup, establishing a result analogous to that of Duyckaerts, Holmer, and ...
R. Killip+3 more
semanticscholar +1 more source
Building extraction in urban and rural areas with aerial and LiDAR DSM [PDF]
Automatizing the extraction of different objects from remote sensing data with deep learning methods has been a popular research topic. Buildings have been one of those popular objects to be extracted. Not only does the selection of neural network affect
E. Hattula, L. Zhu, J. Raninen
doaj +1 more source
Characterization of Ku70(2)-NLS as bipartite nuclear localization sequence for non-viral gene delivery. [PDF]
Several barriers have to be overcome in order to achieve gene expression in target cells, e.g. cellular uptake, endosomal release and translocation to the nucleus.
Johannes Matschke+5 more
doaj +1 more source
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation [PDF]
We consider the defocusing cubic nonlinear Schr\"odinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori called finite-gap solutions.
M. Guardia+4 more
semanticscholar +1 more source
Bovine herpesvirus1 (BoHV-1) is a major bovine pathogen. Despite several vaccines being available to prevent viral infection, outbreaks are frequent and cause important economic consequences worldwide.
Sohail Raza+11 more
doaj +1 more source
Amyotrophic lateral sclerosis (ALS) is the most frequent motor neuron disease. Cytoplasmic fused in sarcoma (FUS) aggregates are pathological hallmarks of FUS-ALS.
Marcel Naumann+30 more
semanticscholar +1 more source
The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes [PDF]
The focusing non-linear Schrödinger (NLS) equation is the simplest universal model describing the modulation instability (MI) of quasimonochromatic waves in weakly non-linear media, and MI is considered to be the main physical mechanism for the ...
P. Grinevich+8 more
semanticscholar +1 more source
The finite gap method and the analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. 1 [PDF]
The focusing nonlinear Schrödinger (NLS) equation is the simplest universal model describing the modulation instability (MI) of quasi monochromatic waves in weakly nonlinear media; MI is considered the main physical mechanism for the appearance of rogue (
P. Grinevich+11 more
semanticscholar +1 more source
Energy cascades for NLS on the torus [PDF]
We consider the nonlinear Schrodinger equation with cubic (focusing or defocusing) nonlinearity on the multidimensional torus. For special small initial data containing only five modes, we exhibit a countable set of time layers in which arbitrarily large modes are created. The proof relies on a reduction to multiphase weakly nonlinear geometric optics,
Erwan Faou, Rémi Carles
openaire +2 more sources
Segment Anything Model with LiDAR based images for building segmentation in forest areas [PDF]
The Segment Anything Model (SAM) represents a significant advancement in image segmentation, with growing applications for LiDAR-based data alongside traditional RGB imagery. Recent work, such as Ošep et al.
E. Hattula, J. Raninen, L. Zhu
doaj +1 more source