\( \Gamma \)-compactness and \( \Gamma \)-stability of the flow of heat-conducting fluids

DOI10.3934/dcdss.2022066zbMath1504.35385OpenAlexW4220723102MaRDI QIDQ2090489

Augusto Visintin

Publication date: 25 October 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2022066

zbMATH Keywords

maximal monotonicityNavier-Stokes flow\( \Gamma \)-convergenceheat convection and diffusionnull-minimization

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Diffusion (76R50) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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• On Fitzpatrick's theory and stability of flows
• An introduction to \(\Gamma\)-convergence
• The energy method, stability, and nonlinear convection.
• Variational formulation and structural stability of monotone equations
• \( \Gamma \)-compactness and \(\Gamma \)-stability of maximal monotone flows
• An introduction to Navier-Stokes equation and oceanography.
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Nonlinear mappings of monotone type in Banach spaces
• Mathematical Modelling of Physical Systems

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