@article {2018,
	title = {Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition},
	number = {SISSA;04/2018/MATE},
	year = {2018},
	abstract = {We consider a model of elastodynamics with fracture evolution, based on
energy-dissipation balance and a maximal dissipation condition. We prove an existence
result in the case of planar elasticity with a free crack path, where the maximal dissipation
condition is satisfied among suitably regular competitor cracks.},
	url = {http://preprints.sissa.it/handle/1963/35308},
	author = {Gianni Dal Maso and Cristopher J. Larsen and Rodica Toader}
}
@article {DALMASO20164897,
	title = {Existence and uniqueness of dynamic evolutions for a peeling test in dimension one},
	journal = {Journal of Differential Equations},
	volume = {261},
	number = {9},
	year = {2016},
	pages = {4897 - 4923},
	abstract = {<p>In this paper we present a one-dimensional model of a dynamic peeling test for a thin film, where the wave equation is coupled with a Griffith criterion for the propagation of the debonding front. Our main results provide existence and uniqueness for the solution to this coupled problem under different assumptions on the data.</p>},
	keywords = {Dynamic debonding, Dynamic energy release rate, Dynamic fracture, Griffith{\textquoteright}s criterion, Maximum dissipation principle, Wave equation in time-dependent domains},
	issn = {0022-0396},
	doi = {https://doi.org/10.1016/j.jde.2016.07.012},
	url = {http://www.sciencedirect.com/science/article/pii/S0022039616301772},
	author = {Gianni Dal Maso and Giuliano Lazzaroni and Lorenzo Nardini}
}
@article {2015,
	title = {Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition},
	year = {2015},
	abstract = {There are very few existence results for fracture evolution, outside of globally minimizing quasi-static evolutions.  Dynamic evolutions are particularly problematic, due to the difficulty of showing energy balance, as well as of showing that solutions obey a maximal dissipation condition, or some similar condition that prevents stationary cracks from always being solutions.  Here we introduce a new weak maximal dissipation condition and show that it is compatible with cracks constrained to grow smoothly on a smooth curve.  In particular, we show existence of dynamic fracture evolutions satisfying this maximal dissipation condition, subject to the above smoothness constraints, and exhibit explicit examples to show that this maximal dissipation principle can indeed rule out stationary cracks as solutions.},
	url = {http://urania.sissa.it/xmlui/handle/1963/35045},
	author = {Gianni Dal Maso and Cristopher J. Larsen and Rodica Toader}
}
@article {2014,
	title = {Editorial},
	number = {Rendiconti del circolo matematico di Palermo;volume 63; issue 3; pages 317-318;},
	year = {2014},
	publisher = {Springer},
	doi = {10.1007/s12215-014-0172-8},
	url = {http://urania.sissa.it/xmlui/handle/1963/34712},
	author = {Ciro Ciliberto and Gianni Dal Maso and Pasquale Vetro}
}
@article {2011,
	title = {Ennio De Giorgi and Γ-convergence},
	journal = {Discrete and Continuous Dynamical Systems - Series A 31 (2011) 1017-1021},
	year = {2011},
	publisher = {American Institute of Mathematical Sciences},
	abstract = {Γ-convergence was introduced by Ennio De Giorgi in a series of papers published between 1975 and 1983. In the same years he developed many applications of this tool to a great variety of asymptotic problems in the calculus of variations and in the theory of partial differential equations.},
	doi = {10.3934/dcds.2011.31.1017},
	url = {http://hdl.handle.net/1963/5308},
	author = {Gianni Dal Maso}
}
@article {2011,
	title = {An Existence and Uniqueness Result for the Motion of Self-Propelled Microswimmers},
	journal = {SIAM J. Math. Anal.},
	volume = { 43},
	number = {SISSA;44/2010/M},
	year = {2011},
	pages = {1345-1368},
	publisher = {Society for Industrial and Applied Mathematics},
	abstract = {<p>We present an analytical framework to study the motion of micro-swimmers in a viscous fluid. Our main result is that, under very mild regularity assumptions, the change of shape determines uniquely the motion of the swimmer. We assume that the Reynolds number is very small, so that the velocity field of the surrounding, infinite fluid is governed by the Stokes system and all inertial effects can be neglected. Moreover, we enforce the self propulsion constraint (no external forces and torques). Therefore, Newton\\\'s equations of motion reduce to the vanishing of the viscous drag force and torque acting on the body. By exploiting an integral representation of viscous force and torque, the equations of motion can be reduced to a system of six ordinary differential equations. Variational techniques are used to prove the boundedness and measurability of its coefficients, so that classical results on ordinary differential equations can be invoked to prove existence and uniqueness of the solution.</p>},
	doi = {10.1137/10080083X},
	url = {http://hdl.handle.net/1963/3894},
	author = {Gianni Dal Maso and Antonio DeSimone and Marco Morandotti}
}
@article {2011,
	title = {Existence for wave equations on domains with arbitrary growing cracks},
	journal = {Rend. Lincei Mat. Appl. 22 (2011) 387-408},
	number = {SISSA;32/2011/M},
	year = {2011},
	publisher = {European Mathematical Society},
	abstract = {In this paper we formulate and study scalar wave equations on domains with arbitrary growing cracks. This includes a zero Neumann condition on the crack sets, and the only assumptions on these sets are that they have bounded surface measure and are growing in the sense of set inclusion. In particular, they may be dense, so the weak formulations must fall outside of the usual weak formulations using Sobolev spaces. We study both damped and undamped equations, showing existence and, for the damped equation, uniqueness and energy conservation.},
	keywords = {Wave equation},
	doi = {10.4171/RLM/606},
	url = {http://hdl.handle.net/1963/4284},
	author = {Gianni Dal Maso and Cristopher J. Larsen}
}
@article {1999,
	title = {Evans-Vasilesco theorem in Dirichlet spaces},
	journal = {Rendiconti di Matematica e delle sue Applicazioni.  vol. 19, Issue 7, (1999), pages : 1-15},
	year = {1999},
	publisher = {SISSA},
	url = {http://hdl.handle.net/1963/6436},
	author = {Gianni Dal Maso and Virginia De Cicco}
}
