Applications of a variational method for mixed differential equations

DOI10.1007/BF00042779zbMath0466.76057OpenAlexW2071727849MaRDI QIDQ1155473

Prem K. Khosla, Stanley G. Rubin

Publication date: 1981

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042779

zbMATH Keywords

Euler-Lagrange equationsBurgers' equationmixed differential equationscompressible potential flowGateau-derivative

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Transonic flows (76H05) Wave equation (35L05) Finite difference methods for boundary value problems involving PDEs (65N06) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• A note on the variational formulation for quasi-linear initial-value problems
• On the variational formulation for linear initial value problems
• Finite element methods for symmetric hyperbolic equations
• Application of a method for approximating extremals of functionals to compressible subsonic fluid flows
• THE VARIATIONAL METHOD IN HYDRODYNAMICS
• Symmetric positive linear differential equations
• On Difference Methods for the Solution of a Tricomi Problem
• A NOTE ON MIXED VARIATIONAL PRINCIPLES FOR INITIAL-VALUE PROBLEMS
• Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem
• Variational principles for linear initial-value problems
• Numerical Solution of Symmetric Positive Differential Equations
• Calculation of plane steady transonic flows
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