178 citations · 981 across the 75 of their papers we have counts for
5 papers · 1 filter
Blow-up in Nonlinear Heat Equations
S. Dejak, Zhou Gang, I. M. Sigal +1
We study the blow-up problem of one-dimensional nonlinear heat equations. Our result shows that for a certain class of initial conditions, the solutions blow up in finite time and…
Decoherence and Thermalization
M. Merkli, I. M. Sigal, G. P. Berman
We present a rigorous analysis of the phenomenon of decoherence for general N-level systems coupled to reservoirs of free massless bosonic fields. We apply our general results to t…
Relaxation of Solitons in Nonlinear Schrodinger Equations with Potential
Zhou Gang, I. M. Sigal
In this paper we study dynamics of solitons in the generalized nonlinear Schrödinger equation (NLS) with an external potential in all dimensions except for 2. For a certain class o…
On Soliton Dynamics in Nonlinear Schrodinger Equations
Zhou Gang, I. M. Sigal
In this paper we announce the result of asymptotic dynamics of solitons of nonlinear Schrodinger equations with external potentials. To each local minima of the potential there is…
Theory of Non-Equilibrium Sationary States as a Theory of Resonances
M. Merkli, M. Mueck, I. M. Sigal
We study a small quantum system (e.g. a simplified model for an atom or molecule) interacting with two bosonic or fermionic reservoirs (say, photon or phonon fields). We show that…