The Cauchy problem for the 1-D Gurevich-Zybin system

DOI10.1063/1.5068755zbMath1415.35186OpenAlexW2944739795MaRDI QIDQ5379476

Ryan C. Thompson

Publication date: 12 June 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5068755

zbMATH Keywords

blow-up criterionpersistence propertiesdata-to-solution map

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) First-order nonlinear hyperbolic equations (35L60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Besov spaces and (Q_p)-spaces (30H25) Initial value problems for systems of linear first-order PDEs (35F40)

Related Items (4)

The Cauchy problem for the Gurevich–Zybin system ⋮ Wave breaking, global existence and persistent decay for the Gurevich-Zybin system ⋮ The Cauchy problem for a generalized Riemann-type hydrodynamical equation ⋮ The movement of a particle according to the Gurevich–Zybin dark matter model

Cites Work

• Solitary wave solutions of the generalized two-component Hunter-Saxton system
• On the Cauchy problem for the two-component Camassa-Holm system
• On the Hunter-Saxton system
• Hydrodynamics in Besov spaces
• A note on well-posedness for Camassa-Holm equation.
• A few remarks on the Camassa-Holm equation.
• Global existence for the generalized two-component Hunter-Saxton system
• Persistence properties and unique continuation of solutions of the Camassa-Holm equation
• Fourier Analysis and Nonlinear Partial Differential Equations
• The Gurevich–Zybin system

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