Long time existence of entropy solutions to the one-dimensional non-isentropic Euler equations with periodic initial data

DOI10.1007/s00205-014-0807-0zbMath1316.35236OpenAlexW1964567120MaRDI QIDQ2260643

Zhouping Xin, Peng Qu

Publication date: 11 March 2015

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

Full work available at URL: https://doi.org/10.1007/s00205-014-0807-0

zbMATH Keywords

Euler equationsperiodic solutionwave interactionapproximate characteristicsapproximate conservation law

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (5)

Periodic entropy solution to a conservation law with nonlocal source arising in radiative gas ⋮ Time-periodic isentropic supersonic Euler flows in one-dimensional ducts driving by periodic boundary conditions ⋮ Periodic Perturbations of a Composite Wave of Two Viscous Shocks for 1-d Full Compressible Navier--Stokes Equations ⋮ Planar Viscous Shocks with Periodic Perturbations for Scalar Multidimensional Viscous Conservation Laws ⋮ Global entropy solutions to weakly nonlinear gas dynamics

Cites Work

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• \(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data
• A paradigm for time-periodic sound wave propagation in the compressible Euler equations
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• Uniqueness of weak solutions to systems of conservation laws
• Large time behavior of periodic solutions of hyperbolic systems of conservation laws
• The large time stability of sound waves
• Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors
• Some Explicit Resonating Waves in Weakly Nonlinear Gas Dynamics
• Admissible solutions of hyperbolic conservation laws
• Systèmes de lois de conservation et stabilité BV
• Sup‐norm stability for Glimm's scheme
• The Vanishing Viscosity Method in One-Dimensional Thermoelasticity
• Blow up of periodic solutions to quasilinear hyperbolic systems
• Solutions in the large for nonlinear hyperbolic systems of equations
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
• Hyperbolic Conservation Laws in Continuum Physics

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