Pollution overturning instability in an incompressible fluid with a Maxwell-Cattaneo-Mariano model for the pollutant field

Nunziata, Martina; Tibullo, Vincenzo

doi:10.1016/j.physd.2024.134116

Physica D: Nonlinear Phenomena

2024

DOI: 10.1016/j.physd.2024.134116

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Pollution overturning instability in an incompressible fluid with a Maxwell-Cattaneo-Mariano model for the pollutant field

Martina Nunziata,

Vincenzo Tibullo

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2024

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Cited by 3 publications

References 42 publications

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Conducting viscous bodies with phase transitions: Deriving Gurtin’s postulate from the second law structure invariance

Mariano

2024

Physica D: Nonlinear Phenomena

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Conducting viscous bodies with phase transitions: Deriving Gurtin’s postulate from the second law structure invariance

Mariano

2024

Physica D: Nonlinear Phenomena

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Topological features in continuum mechanics: from simple to complex bodies

Mariano

2024

Proc. R. Soc. A.

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Topological features have a ubiquitous influence on the behaviour of condensed matter, from the qualitative analysis of fluids flows to the classification of defects in simple and complex solids. We review results concerning the incidence of topological features on foundational aspects of the mechanics of simple and complex bodies, with particular emphasis on the mechanics of defects. Pertinent to this last issue, unusual concepts such as the relative power or the structure invariance of the Clausius–Duhem inequality under diffeomorphism-based observer changes are discussed.

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Buoyancy driven convection with a Cattaneo flux model

Straughan,

Tibullo,

Passarella

2023

Journal of Non-Equilibrium Thermodynamics

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We review models for convective motion which have a flux law of Cattaneo type. This includes thermal convection where the heat flux law is a Cattaneo one. We additionally analyse models where the convective motion is due to a density gradient caused by a concentration of solute. The usual Fick’s law in this case is replaced by a Cattaneo one involving the flux of solute and the concentration gradient. Other effects such as rotation, the presence of a magnetic field, Guyer–Krumhansl terms, or Kelvin–Voigt theories are briefly introduced.

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Pollution overturning instability in an incompressible fluid with a Maxwell-Cattaneo-Mariano model for the pollutant field

Cited by 3 publications

References 42 publications

Conducting viscous bodies with phase transitions: Deriving Gurtin’s postulate from the second law structure invariance

Conducting viscous bodies with phase transitions: Deriving Gurtin’s postulate from the second law structure invariance

Topological features in continuum mechanics: from simple to complex bodies

Buoyancy driven convection with a Cattaneo flux model

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