Introductory remarks to the dynamics of continua with microstructure

G. Capriz

Displaying similar documents to “Introductory remarks to the dynamics of continua with microstructure”

A kinetic equation for repulsive coalescing random jumps in continuum

Krzysztof Pilorz (2016)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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A continuum individual-based model of hopping and coalescing particles is introduced and studied. Its microscopic dynamics are described by a hierarchy of evolution equations obtained in the paper. Then the passage from the micro- to mesoscopic dynamics is performed by means of a Vlasov-type scaling. The existence and uniqueness of solutions of the corresponding kinetic equation are proved.

Vertical flow of a multiphase mixture in a channel.

Massoudi, Mehrdad, Rao, C.Lakshmana (2001)

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On internal constraints in continuum mechanics.

Rajagopal, K.R., Saccomandi, Giuseppe (2006)

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On the motion of a body in thermal equilibrium immersed in a perfect gas

Kazuo Aoki, Guido Cavallaro, Carlo Marchioro, Mario Pulvirenti (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider a body immersed in a perfect gas and moving under the action of a constant force. Body and gas are in thermal equilibrium. We assume a stochastic interaction body/medium: when a particle of the medium hits the body, it is absorbed and immediately re-emitted with a Maxwellian distribution. This system gives rise to a microscopic model of friction. We study the approach of the body velocity to the limiting velocity $V_{\infty}$ and prove that, under suitable smallness assumptions,...