Existence of a global solution to a scalar conservation law with a source term for large data

DOI10.1016/j.jmaa.2015.07.011zbMath1327.35248OpenAlexW1423961760WikidataQ115041160 ScholiaQ115041160MaRDI QIDQ493810

Naoki Tsuge

Publication date: 4 September 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.2015.07.011

zbMATH Keywords

vanishing viscosity methodcompensated compactnessglobal entropy solution

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

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 ⋮ Existence and stability of solutions to the compressible Euler equations with an outer force ⋮ Existence of a global solution to a scalar conservation law with a source term for large data ⋮ Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force ⋮ Global entropy solutions to multi-dimensional isentropic gas dynamics with spherical symmetry

Cites Work

• 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
• Global existence of solutions to resonant system of isentropic gas dynamics
• Existence and stability of solutions to the compressible Euler equations with an outer force
• 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
• Nonlinear resonance for quasilinear hyperbolic equation
• Some existence results for conservation laws with source-term

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