87 citations · 192 across the 23 of their papers we have counts for
4 papers · 2 filters
On global solutions to some non-Markovian quantum kinetic models of Fokker-Planck type
Miguel A. Alejo, José Luis López
In this paper, global well-posedness of the non-Markovian Unruh-Zurek and Hu-Paz-Zhang master equations with nonlinear electrostatic coupling is demonstrated. They both consist of…
On the dynamics of zero-speed solutions for Camassa-Holm type equations
Miguel A. Alejo, Manuel F. Cortez, Chulkwang Kwak +1
In this paper we consider globally defined solutions of Camassa-Holm (CH) type equations outside the well-known nonzero speed, peakon region. These equations include the standard C…
The Akhmediev Breather is unstable
Miguel A. Alejo, Luca Fanelli, Claudio Muñoz
In this note, we give a rigorous proof that the NLS periodic Akhmediev breather is unstable. The proof follows the ideas in [17], in the sense that a suitable modification of the S…
On the ill-posedness of the 5th-order Gardner equation
Miguel A. Alejo, Eleomar Cardoso
We present ill-posedness results for the initial value problem (IVP) of the 5th-order Gardner equation. We use new breather solutions discovered for this higher order Gardner equat…