Conservation laws for 3-dimensional compressible Euler equations

DOI10.1016/0020-7225(87)90130-3zbMath0607.76070OpenAlexW1971220181MaRDI QIDQ1085739

Mauro Benati, Giacomo Caviglia

Publication date: 1987

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90130-3

zbMATH Keywords

conservation lawsEuler equationsgeneratorsexact solutionsnonlinear evolution equationsinfinitesimal symmetry transformationsinviscid barotropic compressible fluidone- dimensional flowsset of adjoint variables

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (1)

Composite variational principles and the determination of conservation laws

Cites Work

• Conservation laws for the Navier-Stokes equations
• Conservation laws for one-dimensional isentropic gas flows
• Group properties and new solutions of Navier-Stokes equations
• The infinitesimal group of the Navier-Stokes equations
• Isovector fields for problems in the mechanics of solids and fluids
• Lie transformations, nonlinear evolution equations, and Painlevé forms
• Symmetry transformations, isovectors, and conservation laws
• The inverse problem of the calculus of variations applied to continuum physics
• Prolongation structures of nonlinear evolution equations
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
• Conservation laws for shallow water waves on a sloping beach

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