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, Vol. 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.

• Item Type: Journal article
• EU Funded Grant Agreement Number: 694227
• EU Projects: Horizon 2020 > ERC Grants > ERC Advanced Grant
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0944-2669
• Language: English