Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force in a bounded interval

DOI10.1007/S00205-023-01874-9OpenAlexW4366180270MaRDI QIDQ2698467

Naoki Tsuge

Publication date: 24 April 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.11450

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Compressible fluids and gas dynamics (76Nxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Isentropic gas flow for the compressible Euler equation in a nozzle
• Existence and stability of solutions to the compressible Euler equations with an outer force
• Time-periodic solutions to systems of conservation laws
• Existence of global solutions for unsteady isentropic gas flow in a Laval nozzle
• Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force
• Global entropy solutions to the compressible Euler equations in the isentropic nozzle flow for large data. Application of the generalized invariant regions and the modified Godunov scheme
• Global \(L^{\infty}\) solutions of the compressible Euler equations with spherical symmetry
• The Large-Time Behavior of the Scalar, Genuinely Nonlinear Lax-Friedrichs Scheme
• Large time decay of solutions to isentropic gas dynamics
• Time-periodic solutions for a scalar conservation law

This page was built for publication: Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force in a bounded interval