Decay results for Skyrme and Adkins-Nappi equations
A talk in the Oberseminar Analysis series by
Christopher Maulén Marchant
| Abstract: | In this talk, we will discuss recent results regarding the decay problem for global solutions of the Skyrme and Adkins-Nappi equations. We prove that the energy associated to any bounded energy solution of the Skyrme (or Adkins-Nappi) equation decays to zero outside the light cone (in the radial coordinate). Furthermore, we prove that suitable polynomial weighted energies of any small solution decays to zero when these energies are bounded. The proof consists of finding three new virial type estimates, one for the exterior of the light cone, based on the energy of the solution, and a more subtle virial identity for the weighted energies, based on a modification of momentum type quantities.
This work is joint Miguel Angel Alejo. Zoom Meeting ID: 986 0677 6055 Passcode: 430747 $\href{https://uni-bielefeld.zoom.us/j/98606776055?pwd=azBFdUVaQnJMU01tWjZUVEdxN2x5Zz09}{\textbf{Join Zoom Meeting}}$ Within the CRC this talk is associated to the project(s): A1 |