Blow up dynamics for equivariant critical Schrödinger maps

From MaRDI portal
Publication:2509619

DOI10.1007/s00220-014-1916-1zbMath1300.35008arXiv1212.6709OpenAlexW2006309082MaRDI QIDQ2509619

Galina Perelman

Publication date: 29 July 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6709




Related Items

Local well-posedness of the Landau–Lifshitz equation with helicity termBlow up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to the Simons coneRenormalization for the Laplacian and global well-possness of the Landau-Lifshitz-Gilbert equation in dimensions \(n \geq 3\)Convergence to harmonic maps for the Landau-Lifshitz flows between two dimensional hyperbolic spacesOn global dynamics of Schrödinger map flows on hyperbolic planes near harmonic mapsOn energy-critical half-wave maps into \(\mathbb {S}^2\)Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5Finite time blowup of multidimensional inhomogeneous isotropic Landau-Lifshitz equation on a hyperbolic spaceNondispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in $\mathbb {R}^3$Construction of two-bubble solutions for the energy-critical NLSAsymptotic behaviors of Landau-Lifshitz flows from \(\mathbb {R}^2\) to Kähler manifoldsEquivariant Schrödinger map flow on two dimensional hyperbolic spaceOn the stability of blowup solutions for the critical corotational wave-map problemGlobal, non-scattering solutions to the energy critical wave maps equationAsymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps EvolutionGlobal Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: energy critical caseOn the blow-up solutions for the nonlinear radial Schrödinger equations with spatial variable coefficientsEquivariant heat and Schrödinger flows from Euclidean space to complex projective spaceGlobal Dynamics to the Periodic Ferromagnetic Spin Chain SystemFormation of singularities in nonlinear dispersive PDEsEnergy decay rate of multidimensional inhomogeneous Landau-Lifshitz-Gilbert equation and Schrödinger map equation on the sphereGlobal existence of Landau-Lifshitz-Gilbert equation and self-similar blowup of harmonic map heat flow on \(\mathbb{S}^2\)Global existence and blow-up solutions of the radial Schrödinger mapsConstruction of two-bubble solutions for some energy-critical wave equationsThe estimates of the ill-posedness index of the (deformed-) continuous Heisenberg spin equationLocal nonautonomous Schrödinger flows on Kähler manifoldsLocal existence and uniqueness of Navier-Stokes-Schrödinger systemUnnamed ItemGlobal Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: high dimensionsOn blow up for the energy super critical defocusing nonlinear Schrödinger equationsRemarks on local theory for Schrödinger maps near harmonic mapsBlow-up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to a Simons cone



Cites Work