Zobrazeno 1 - 10
of 819
pro vyhledávání: '"Gustafson S"'
Autor:
Gustafson, S., Wang, Li
Publikováno v:
In Journal of Functional Analysis 15 February 2021 280(4)
We consider the Landau-Lifshitz equations of ferromagnetism (including the harmonic map heat-flow and Schroedinger flow as special cases) for degree m equivariant maps from R^2 to S^2. If m \geq 3, we prove that near-minimal energy solutions converge
Externí odkaz:
http://arxiv.org/abs/0904.0461
We study global behavior of small solutions of the Gross-Pitaevskii equation in three dimensions. We prove that disturbances from the constant equilibrium with small, localized energy, disperse for large time, according to the linearized equation. Tr
Externí odkaz:
http://arxiv.org/abs/0803.3208
We study asymptotic behaviour at time infinity of solutions close to the non-zero constant equilibrium for the Gross-Pitaevskii equation in two and three spatial dimensions. We construct a class of global solutions with prescribed dispersive asymptot
Externí odkaz:
http://arxiv.org/abs/math/0605655
We investigate the asymptotic behavior at time infinity of solutions close to a non-zero constant equilibrium for the Gross-Pitaevskii (or Ginzburg-Landau Schroedinger) equation. We prove that, in dimensions larger than 3, small perturbations can be
Externí odkaz:
http://arxiv.org/abs/math/0510080
For the Schr\"odinger flow from $R^2 \times R^+$ to the 2-sphere $S^2$, it is not known if finite energy solutions can blow up in finite time. We study equivariant solutions whose energy is near the energy of the family of equivariant harmonic maps.
Externí odkaz:
http://arxiv.org/abs/math/0504497
Publikováno v:
Annales Henri Poincare, 7(4), pages 621--660, 2006.
We study the motion of solitary-wave solutions of a family of focusing generalized nonlinear Schroedinger equations with a confining, slowly varying external potential, $V(x)$. A Lyapunov-Schmidt decomposition of the solution combined with energy est
Externí odkaz:
http://arxiv.org/abs/math-ph/0503009
Autor:
Gustafson, S., Sigal, I. M.
We study solutions of Ginzburg-Landau-type evolution equations (both dissipative and Hamiltonian) with initial data representing collections of widely-spaced vortices. We show that for long times, the solutions continue to describe collections of vor
Externí odkaz:
http://arxiv.org/abs/math/0312438
Publikováno v:
Comm. Math. Phys. 250(3) pp.613--642, 2004
We study the behavior of solitary-wave solutions of some generalized nonlinear Schr\"odinger equations with an external potential. The equations have the feature that in the absence of the external potential, they have solutions describing inertial m
Externí odkaz:
http://arxiv.org/abs/math-ph/0309053
Autor:
Sawinski, D., Shelton, B.A., Mehta, S., Reed, R.D., MacLennan, P.A., Gustafson, S., Segev, D.L., Locke, J.E. *
Publikováno v:
In American Journal of Transplantation December 2017 17(12):3114-3122