Alessandro Musesti

Balanced Powers in Continuum Mechanics

An approach to weak balance laws in Continuum Mechanics is presented, involving densities with only divergence measure, which relies on the balance of power. An equivalence theorem between Cauchy powers and Cauchy fluxes is proved. As an application of this method, the construction of the stress tensor when the body is an orientable differential manifold is achieved under very general assumptions.

ON THE MEASURE-THEORETIC FOUNDATIONS OF THE SECOND LAW OF THERMODYNAMICS

Balance laws of the type of entropy are treated in the framework of geometric measure theory, and a weak version, although conceptually simple, of the Second Law of Thermodynamics is introduced, allowing extensions to measure-valued entropy productions and to sets of finite perimeter as subbodies.

QUASI-STATIC EVOLUTIONS IN LINEAR PERFECT PLASTICITY AS A VARIATIONAL LIMIT OF FINITE PLASTICITY: A ONE-DIMENSIONAL CASE

In the framework of the energetic approach to rate-independent evolutions, we show that one-dimensional linear perfect plasticity can be obtained by linearization as a variational limit of a finite plasticity model with hardening proposed by A. Mielke (SIAM J. Math. Anal., 2004).

Topological nonconnectivity threshold in long-range spin systems

We demonstrate the existence of a topological disconnection threshold, recently found in Ref. \cite{JSP}, for generic

Asymptotics of Solutions for fully Nonlinear Elliptic Problems at Nearly Critical Growth

1-d

Nonlinear free fall of one-dimensional rigid bodies in hyperviscous fluids

anisotropic Heisenberg models interacting with an inter--particle potential

A Continuum Model of Skeletal Muscle Tissue with Loss of Activation

R^{-\alpha}

A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor

when

Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number

0<\alpha<1

Loss of mass and performance in skeletal muscle tissue: A continuum model

(here