Continuum and discrete hydrodynamical models and globally well-posed problems

DOI10.1016/0096-3003(88)90126-9zbMath0652.76002OpenAlexW1975928654WikidataQ126340335 ScholiaQ126340335MaRDI QIDQ1107376

Kenneth L. jun. Kuttler, Darrell L. Hicks

Publication date: 1988

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(88)90126-9

zbMATH Keywords

generalization of the ideal-gas lawgeneralization of the Navier-Stokes formmixed, initial-boundary-value problemone-dimensional hydrodynamical motionstandard, classical, continuum modelWell-posedness proofs

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Partial functional-differential equations (35R10) Statistical mechanics of liquids (82D15) Foundations of fluid mechanics (76A02)

Related Items (5)

Initial-boundary value problems for model D (a discrete hydrodynamical model) with stress boundary conditions are globally well posed ⋮ Problem solving with well posedness analysis. I. ⋮ The convergence of numerical solutions of hydrodynamical shock problems ⋮ Eigenform error estimates of computational material dynamics with shocks. 1.1. Hooke's law materials ⋮ Initial-boundary value problems for a discrete hydrodynamical model (model D) with velocity boundary conditions are globally well posed

Cites Work

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• Introduction to computational continuum dynamics: A personal perspective
• The hydrocode convergence problem. II
• The hydrocode convergence problem. I
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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