Existence and stability of solutions to the compressible Euler equations with an outer force

DOI10.1016/j.nonrwa.2015.07.017zbMath1335.35190OpenAlexW1171517404MaRDI QIDQ900628

Naoki Tsuge

Publication date: 22 December 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.07.017

zbMATH Keywords

difference schemeouter forcethe compensated compactnessthe compressible Euler equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (11)

Existence of a global solution for a scalar conservation law with a source term, nonlinear resonance, invariant region depending on the space variable ⋮ 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 existence and stability of solutions to river flow system ⋮ Uniform boundedness in weak solutions to a specific dissipative system ⋮ Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force in a bounded interval ⋮ Existence of global solutions for isentropic gas flow with friction ⋮ Existence of a global solution to a scalar conservation law with a source term for large data ⋮ Global existence and stability to the polytropic gas dynamics with an outer force ⋮ Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices ⋮ Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force ⋮ Soluciones globales para sistema isotérmico con fuente

Cites Work

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• Isentropic gas flow for the compressible Euler equation in a nozzle
• Existence of a global solution to a scalar conservation law with a source term for large data
• Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
• Convergence of the viscosity method for isentropic gas dynamics
• Initial boundary value problem for the spherically symmetric motion of isentropic gas
• Spherically symmetric solutions to the compressible Euler equation with an asymptotic \(\gamma\)-law
• Existence of global solutions for unsteady isentropic gas flow in a Laval nozzle
• Global \(L^{\infty}\) solutions of the compressible Euler equations with spherical symmetry

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