Search Results - "Banica, Valeria"

Riemann’s Non-differentiable Function and the Binormal Curvature Flow by Banica, Valeria, Vega, Luis

“…We make a connection between a famous analytical object introduced in the 1860s by Riemann, as well as some variants of it, and a nonlinear geometric PDE, the…”
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New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schrödinger Map by Banica, Valeria, Vega, Luis

“…We recall some recent results concerning the Initial Value Problem of 1d-cubic non-linear Schrödinger equation (NLS) and other related systems as the…”
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Microlocal analysis of singular measures by Banica, Valeria, Burq, Nicolas

“…The purpose of this article is to investigate the structure of singular measures from a microlocal perspective. Motivated by the result of De Philippis–Rindler…”
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Blow-Up for the 1D Cubic NLS by Banica, Valeria, Lucà, Renato, Tzvetkov, Nikolay, Vega, Luis

“…We consider the 1D cubic NLS on R and prove a blow-up result for functions that are of borderline regularity, i.e. H s for any s < - 1 2 for the Sobolev scale…”
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Scattering for NLS with a delta potential by Banica, Valeria, Visciglia, Nicola

“…We prove H1 scattering for the mass-supercritical defocusing nonlinear Schrödinger equation perturbed by a repulsive delta potential…”
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On the energy of critical solutions of the binormal flow by Banica, Valeria, Vega, Luis

“…The binormal flow is a model for the dynamics of a vortex filament in a 3-D inviscid incompressible fluid. The flow is also related with the classical…”
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Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow by Vega, Luis, Banica, Valeria

“…We consider the binormal flow equation, which is a model for the dynamics of vortex filaments in Euler equations. Geometrically, it is a flow of curves in…”
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Microlocal analysis of singular measures by Banica, Valeria, Burq, Nicolas

“…The purpose of this article is to investigate the structure of singular measures from a micro-local perspective. We introduce a notion of L 1-regularity wave…”
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Evolution of Polygonal Lines by the Binormal Flow by Banica, Valeria, Vega, Luis

“…The aim of this paper is threefold. First we display solutions of the cubic nonlinear Schrödinger equation on R in link with initial data a sum of Dirac…”
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Stability of the Self-similar Dynamics of a Vortex Filament by Banica, Valeria, Vega, Luis

“…In this paper we continue our investigation of self-similar solutions of the vortex filament equation, also known as the binormal flow or the localized…”
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Multifractality and intermittency in the limit evolution of polygonal vortex filaments by Banica, Valeria, Eceizabarrena, Daniel, Nahmod, Andrea R., Vega, Luis

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Collision of Almost Parallel Vortex Filaments by Banica, Valeria, Faou, Erwan, Miot, Evelyne

“…We investigate the occurrence of collisions in the evolution of vortex filaments through a system introduced by Klein, Majda, and Damodaran and Zakharov . We…”
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Collisions of Vortex Filament Pairs by Banica, Valeria, Faou, Erwan, Miot, Evelyne

“…We consider the problem of collisions of vortex filaments for a model introduced by Klein et al. (J Fluid Mech 288:201–248, 1995 ) and Zakharov (Sov Phys Usp…”
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Minimal Blow-Up Solutions to the Mass-Critical Inhomogeneous NLS Equation by Banica, Valeria, Carles, Rémi, Duyckaerts, Thomas

“…We consider the mass-critical focusing nonlinear Schrödinger equation in the presence of an external potential, when the nonlinearity is inhomogeneous. We show…”
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New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schr\"odinger map by Banica, Valeria, Vega, Luis

“…We review some recent results concerning the Initial Value Problem of 1d-cubic non-linear Schr\"odinger equation (NLS) and other related systems as the…”
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Remarks on hypoelliptic equations by Banica, Valeria, Burq, Nicolas

“…Smooth hypoellipticity for scalar equations is quite well understood presently. On the other hand, much remains to be done for systems and/or at different…”
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Scattering Theory for Radial Nonlinear Schrödinger Equations on Hyperbolic Space by Banica, Valeria, Carles, Rémi, Staffilani, Gigliola

“… We study the long-time behavior of radial solutions to nonlinear Schrödinger equations on hyperbolic space. We show that the usual distinction between…”
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Microlocal analysis of singular measures by Banica, Valeria, Burq, Nicolas

“…The purpose of this article is to investigate the structure of singular measures from a microlocal perspective. Motivated by the result of De Philippis-Rindler…”
Get full text

Unbounded growth of the energy density associated to the Schr\"odinger map and the binormal flow by Banica, Valeria, Vega, Luis

“…We consider the binormal flow equation, which is a model for the dynamics of vortex filaments in Euler equations. Geometrically it is a flow of curves in three…”
Get full text

Riemann's non-differentiable function and the binormal curvature flow by Banica, Valeria, Vega, Luis

“…We make a connection between a famous analytical object introduced in the 1860s by Riemann, as well as some variants of it, and a nonlinear geometric PDE, the…”
Get full text