Global BV solutions of compressible Euler equations with spherical symmetry and damping

DOI10.1006/jdeq.1998.3427zbMath0916.35090OpenAlexW2058760691MaRDI QIDQ1265125

Tao Luo, Tong Yang, Ling Hsiao

Publication date: 6 October 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3427

zbMATH Keywords

existenceequation of stateRiemann invariantsfractional step methodisentropic flowsGlimm finite difference schememeasure for wave strengthsmedium with friction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) 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)

Related Items (13)

Asymptotic behaviour of global smooth solutionsto the multidimensional hydrodynamic model for semiconductors ⋮ Large time behavior and pointwise estimates for compressible Euler equations with damping ⋮ The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. ⋮ Absence of singularities in solutions for the compressible Euler equations with source terms in ⋮ Singularity formation for the inhomogeneous nonlinear wave equation with damping ⋮ Second order two-species systems with nonlocal interactions: existence and large damping limits ⋮ Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces ⋮ Global BV solutions to a \(p\)-system with relaxation ⋮ Global existence and long-time behavior of solutions to the full compressible Euler equations with damping and heat conduction in \(\mathbb{R}^3\) ⋮ Spherically symmetric solutions of the full compressible Euler equations in \(\mathbb R^N\) ⋮ Optimal \(L^p\)-\(L^q\)-type decay rates of solutions to the three-dimensional nonisentropic compressible Euler equations with relaxation ⋮ Global solution of an initial-value problem for two-dimensional compressible Euler equations ⋮ The asymptotic behavior of global smooth solutions to the hydrodynamic model for semiconductors with spherical symmetry

Cites Work

• Unnamed Item
• Unnamed Item
• Compressible fluid flow and systems of conservation laws in several space variables
• Quasilinear hyperbolic systems
• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• The global weak solutions of compressible Euler equation with spherical symmetry
• Mixed problems for nonlinear conservation laws
• A system of hyperbolic conservation laws with frictional damping
• A functional integral approach to shock wave solutions of Euler equations with spherical symmetry
• Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media
• Global solutions to the compressible Euler equations with geometrical structure
• A functional integral approach to shock wave solutions of the Euler equations with spherical symmetry. II
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Solutions in the large for some nonlinear hyperbolic conservation laws

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