Global smooth solution of the nonisentropic gas dynamics system
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Publication:4894583
DOI10.1017/S0308210500023052zbMath0863.35084OpenAlexW2315447301MaRDI QIDQ4894583
Publication date: 3 June 1997
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500023052
small initial datacharacteristicsconstitutive assumptionbalance equations of the one-dimensional gasdynamics
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Initial value problems for first-order hyperbolic systems (35L45)
Related Items (5)
Singularity formation for one dimensional full Euler equations ⋮ Classical solutions for 1D compressible Euler equations with over damping ⋮ Global weak solutions for a nonlinear hyperbolic system ⋮ Global existence of smooth solutions for the one-dimensional full Euler system for a dusty gas ⋮ Invariant region on a non-isentropic gas dynamics system
Cites Work
- On the vacuum state for the equations of isentropic gas dynamics
- Globally smooth solutions of quasilinear hyperbolic systems in diagonal form
- Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
- Global regularity and formation of singularities of solutions to first order quasilinear hyperbolic systems
- Formation of singularities in one-dimensional nonlinear wave propagation
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
- Global continuous solutions of hyperbolic systems of quasi-linear equations
- Some existence theorems for hyperbolic systems of partial differential equations in two independent variables
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