Can constitutive relations be represented by non-local equations?

DOI10.1090/S0033-569X-2012-01314-3zbMath1421.74011OpenAlexW2067434186MaRDI QIDQ2911113

Tommaso Ruggeri

Publication date: 12 September 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2012-01314-3

zbMATH Keywords

parabolic limitentropy principlehyperbolic systems of balance lawsobjective principle

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thermodynamics in solid mechanics (74A15) Thermodynamics of continua (80A17) Theory of constitutive functions in solid mechanics (74A20)

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Cites Work

• Extended thermodynamics of classical and degenerate ideal gases
• Generators of hyperbolic heat equation in nonlinear thermoelasticity
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• The thermodynamics of elastic materials with heat conduction and viscosity
• Galilean invariance and entropy principle for systems of balance laws
• Hyperbolic principal subsystems: Entropy convexity and subcharacteristic conditions
• Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
• Entropy and global existence for hyperbolic balance laws
• Extended thermodynamics of dense gases
• On the entropy inequality
• On the frame dependence of stress and heat flux
• Regularization of Grad’s 13 moment equations: Derivation and linear analysis
• Stability of constant equilibrium state for dissipative balance laws system with a convex entropy
• ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
• On the hyperbolic system of a mixture of Eulerian fluids: a comparison between single‐ and multi‐temperature models
• Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
• On the kinetic theory of rarefied gases
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