A variational principle of minimum for Navier-Stokes equation based on the symplectic formalism

DOI10.1007/978-3-031-38299-4_2MaRDI QIDQ6138209

Gery De Saxce

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

zbMATH Keywords

symplectic geometryNavier-Stokes equationconvex analysisGalilean relativitydynamical dissipative systems

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to problems in fluid mechanics (76M30) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

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• Numerical simulation of elastoplastic problems by Brezis-Ekeland-Nayroles non-incremental variational principle
• GENERIC formalism of a Vlasov–Fokker–Planck equation and connection to large-deviation principles
• A Variational Principle for Dissipative Fluid Dynamics
• Hamiltonian inclusions with convex dissipation with a view towards applications
• RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY
• A symplectic Brezis–Ekeland–Nayroles principle
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