On the Cauchy problem of some dissipative flows

DOI10.1006/JMAA.1997.5814zbMath0891.35121OpenAlexW2078269938MaRDI QIDQ1381598

Dehua Wang

Publication date: 1 July 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5814

zbMATH Keywords

Cauchy problemheat conductionhyperbolic systemgradient catastropheelectricitydamping relaxationheat conducting gas dynamics equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• On formation of singularities in one-dimensional nonlinear thermoelasticity
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
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• Gradient catastrophe in the solution of nonconservative hyperbolic systems
• Mathematical problems from combustion theory
• Blowup for nonlinear hyperbolic equations
• MULTI‐DIMENSIONAL DISCRETIZATION SCHEME FOR THE HYDRODYNAMIC MODEL OF SEMICONDUCTOR DEVICES
• Development of singularities in solutions of the equations of nonlinear thermoelasticity
• Formation of singularities in one-dimensional nonlinear wave propagation
• Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations

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