Youde Wang

Schrödinger flow of maps into symplectic manifolds

The definition of Schrödinger flow is proposed. It is indicated that the flow of ferromagnetic chain is actually Schrödinger flow of maps intoS2, and that there exists a unique local smooth solution for the initial value problem of one-dimensional Schrödinger flow of maps into Kahler manifolds. In case the targets are Kähler manifolds with constant curvature, it is proved that one-dimensional Schrödinger flow admits a unique global smooth solution.

Bubbling location for

Let

F

f

-harmonic maps and inhomogeneous Landau--Lifshitz equations

be a positive smooth function on a closed Riemann surface

GLOBAL INHOMOGENEOUS SCHRÖDINGER FLOW

(M,g)

Bubbling Location for Sequences of Approximate F-Harmonic Maps from Surfaces

. The

A counterexample to the energy identity for sequences of α-harmonic maps

f

Geometric solitons of Hamiltonian flows on manifolds

-energy of a map

Ginzburg-Landau vortices with pinning functions and self-similar solutions in harmonic maps

u

A coincidence experimental setup for investigating multiple electron processes

from