A variational principle of minimum for Navier-Stokes equation and Bingham fluids based on the symplectic formalism
type: Item
instance of: scholarly article
title: A variational principle of minimum for Navier-Stokes equation and Bingham fluids based on the symplectic formalism
author: Géry de Saxcé
published in: Information Geometry
publication date: 2025-01-23T00:00:00Z
Mathematics Subject Classification ID: 70Hxx
Mathematics Subject Classification ID: 49Sxx
Mathematics Subject Classification ID: 74Cxx
zbMATH DE Number: 7974067
zbMATH Keywords: dynamical dissipative systems
zbMATH Keywords: Hamiltonian methods
zbMATH Keywords: Brezis-Ekeland-Nayroles principle
zbMATH Keywords: convex dissipation
zbMATH Keywords: Navier-Stokes equation
zbMATH Keywords: Bingham fluids
MaRDI profile type: Publication
cites work: Variational principles on rth order jets of fibre bundles in field theory
cites work: Notes on a differential equation which occurs in the two dimensional motion of a compressible fluid and the associated variational problems.
cites work: Q4098282
cites work: Q4145201
cites work: Hamiltonian inclusions with convex dissipation with a view towards applications
cites work: A symplectic Brezis–Ekeland–Nayroles principle
cites work: Numerical simulation of elastoplastic problems by Brezis-Ekeland-Nayroles non-incremental variational principle
cites work: A non-incremental approach for elastoplastic plates basing on the Brezis-Ekeland-Nayroles principle
cites work: A non-incremental numerical method for dynamic elastoplastic problems by the symplectic Brezis-Ekeland-Nayroles principle
cites work: A symplectic Brezis-Ekeland-Nayroles principle for dynamic plasticity in finite strains
cites work: GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles
cites work: Q3411975
cites work: Q4702909
cites work: A variational principle for dissipative fluid dynamics
cites work: A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems.
cites work: A Lagrangian variational formulation for nonequilibrium thermodynamics. II: Continuum systems.
cites work: Variational discretization of the nonequilibrium thermodynamics of simple systems
cites work: A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system
cites work: A theory of anti-selfdual Lagrangians: dynamical case
cites work: Anti-self-dual Lagrangians: variational resolutions of non-self-adjoint equations and dissipative evolutions
cites work: Anti-symmetric Hamiltonians. II: Variational resolutions for Navier-Stokes and other nonlinear evolutions
cites work: Q4531870
cites work: Q4066699
cites work: The Euler-Poincaré equations and semidirect products with applications to continuum theories
cites work: Mastering Calculations in Linear and Nonlinear Mechanics
cites work: Variational solutions for some steady and non-steady laminar viscous flows with stagnation points
cites work: Q3785520
cites work: Q3668376
cites work: Multisymplectic geometry, variational integrators, and nonlinear PDEs
cites work: Q3370609
cites work: RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY
cites work: On the steady motion of viscous, incompressible fluids; with particular reference to a variation principle.
cites work: Q4114826
cites work: Reciprocal Relations in Irreversible Processes. I.
cites work: Variational methods for finding periodic orbits in the incompressible Navier–Stokes equations
cites work: On the motion of a viscous fluid.
cites work: Consequences of symmetries on the analysis and construction of turbulence models
cites work: Q3994886
cites work: Q3211030
cites work: Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
cites work: Q5727517
cites work: Q3338005
DOI: 10.1007/S41884-024-00157-W
description: scientific article; zbMATH DE number 7974067