178 citations · 357 across the 6 of their papers we have counts for
6 papers
Instability of Equilibrium States for Coupled Heat Reservoirs at Different Temperatures
M. Merkli, M. Mück, I. M. Sigal
We consider quantum systems consisting of a ``small'' system coupled to two reservoirs (called open systems). We show that such a system has no equilibrium states normal with respe…
Long-Time Dynamics of KdV Solitary Waves over a Variable Bottom
S. I. Dejak, I. M. Sigal
We study the variable bottom generalized Korteweg-de Vries (bKdV) equation dt u=-dx(dx^2 u+f(u)-b(t,x)u), where f is a nonlinearity and b is a small, bounded and slowly varying fun…
Effective Dynamics of Magnetic Vortices
S. Gustafson, I. M. Sigal
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…
Solitary Wave Dynamics in an External Potential
J. Frohlich, S. Gustafson, B. L. G. Jonsson +1
We study the behavior of solitary-wave solutions of some generalized nonlinear Schrödinger equations with an external potential. The equations have the feature that in the absence…
Minimal Escape velocities
W. Hunziker, I. M. Sigal, A. Soffer
We give a new derivation of the minimal velocity estimates for unitary evolutions with some optimal bounds.
The Stability of Magnetic Vortices
S. Gustafson, I. M. Sigal
We study the linearized stability of n-vortex solutions of the magnetic Ginzburg-Landau (or Abelian-Higgs) equations. We prove that the fundamental vortices (n=1,-1) are stable for…