Traveling waves and effective mass for the regularized Landau-Pekar equations

Rademacher, Simone (26. April 2024): Traveling waves and effective mass for the regularized Landau-Pekar equations. In: Calculus of Variations and Partial Differential Equations, Bd. 63, 121

Abstract

We consider the regularized Landau-Pekar equations with positive speed of sound and prove the existence of subsonic traveling waves. We provide a definition of the effective mass for the regularized Landau-Pekar equations based on the energy-velocity expansion of subsonic traveling waves. Moreover we show that this definition of the effective mass agrees with the definition based on an energy-momentum expansion of low energy states.

• Dokumententyp: Zeitschriftenartikel
• EU Funded Grant Agreement Number: 694227
• EU-Projekte: Horizon 2020 > ERC Grants > ERC Advanced Grant
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0944-2669
• Sprache: Englisch