Browsing SISSA Preprints by Author "Zanini, Chiara"

Now showing items 1-4 of 4

An artificial viscosity approach to quasistatic crack growth

Toader, Rodica; Zanini, Chiara (2006-07-26)

We introduce a new model of irreversible quasistatic crack growth in which the evolution of cracks is the limit of a suitably modified $\epsilon$-gradient flow of the energy functional, as the "viscosity" parameter $\epsilon$ ...
Multiplicity of periodic solutions for differential equations arising in the study of a nerve fiber model

Zanini, Chiara; Zanolin, Fabio (2006-07-21)

We deal with the periodic boundary value problem for a second-order nonlinear ODE which includes the case of the Nagumo type equation $v_{xx} - g v + n(x) F(v) = 0,$ previously considered by Grindrod and Sleeman and by ...
Quasistatic crack growth for a cohesive zone model with prescribed crack path

Dal Maso, Gianni; Zanini, Chiara (2005-06-20)

In this paper we study the quasistatic crack growth for a cohesive zone model. We assume that the crack path is prescribed and we study the time evolution of the crack in the framework of the variational theory of ...
Singular perturbations of finite dimensional gradient flows

Zanini, Chiara (2006-07-26)

In this paper we give a description of the asymptotic behavior, as $\epsilon\to 0$, of the $\epsilon$-gradient flow in the finite dimensional case. Under very general assumptions we prove that it converges to an evolution ...

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