Periodic solutions to \(p\)-system constructed through Glimm scheme

DOI10.1016/j.jmaa.2015.10.070zbMath1331.35227OpenAlexW2281241391MaRDI QIDQ898832

Qi Zhang, Zejun Wang

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.070

zbMATH Keywords

Riemann problem\(BV\) space

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Finite difference methods applied to problems in fluid mechanics (76M20) Navier-Stokes equations (35Q30) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (3)

Time-periodic isentropic supersonic Euler flows in one-dimensional ducts driving by periodic boundary conditions ⋮ Existence of periodic solutions to an isothermal relativistic Euler system ⋮ Existence in the large for pressure-gradient system

Cites Work

• Large-time structure of solutions of scalar conservation laws without convexity in the presence of a linear source field
• Large-time behavior in inhomogeneous conservation laws
• Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
• Periodic solutions of conservation laws constructed through Glimm scheme
• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Global existence of the regular solution of a quasilinear hyperbolic system
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