Zobrazeno 1 - 10
of 110
pro vyhledávání: '"CAVATERRA, CECILIA"'
In this paper, we tackle the problem of reconstructing earlier tumour configurations starting from a single spatial measurement at a later time. We describe the tumour evolution through a diffuse interface model coupling a Cahn-Hilliard-type equation
Externí odkaz:
http://arxiv.org/abs/2409.15925
The development of mathematical models of cancer informed by time-resolved measurements has enabled personalised predictions of tumour growth and treatment response. However, frequent cancer monitoring is rare, and many tumours are treated soon after
Externí odkaz:
http://arxiv.org/abs/2409.12844
The availability of cancer measurements over time enables the personalised assessment of tumour growth and therapeutic response dynamics. However, many tumours are treated after diagnosis without collecting longitudinal data, and cancer monitoring pr
Externí odkaz:
http://arxiv.org/abs/2404.12198
We consider an evolution system modeling a flow of colloidal particles which are suspended in an incompressible fluid and accounts for colloidal crystallization. The system consists of the Navier-Stokes equations for the volume averaged velocity coup
Externí odkaz:
http://arxiv.org/abs/2404.10431
Publikováno v:
ESAIM Control Optim. Calc. Var., 30 (2024), Article number: 52, 49 pages
We study a Cahn-Hilliard-Darcy system with mass sources, which can be considered as a basic, though simplified, diffuse interface model for the evolution of tumor growth. This system is equipped with an impermeability condition for the (volume) avera
Externí odkaz:
http://arxiv.org/abs/2308.01569
Autor:
Comite, Valeria, Bergomi, Andrea, Formenti, Matteo, Lombardi, Chiara Andrea, Borelli, Mattia, Morale, Daniela, Ugolini, Stefania, Fermo, Paola, Cavaterra, Cecilia, Castellano, Carlo, Della Pina, Cristina
Publikováno v:
In Construction and Building Materials 25 October 2024 449
In this paper, we deal with the inverse problem of the shape reconstruction of cavities and inclusions embedded in a linear elastic isotropic medium from boundary displacement's measurements. For, we consider a constrained minimization problem involv
Externí odkaz:
http://arxiv.org/abs/2201.06554
We study a Cahn-Hilliard-Hele-Shaw (or Cahn-Hilliard-Darcy) system for an incompressible mixture of two fluids. The relative concentration difference $\varphi$ is governed by a convective nonlocal Cahn-Hilliard equation with degenerate mobility and l
Externí odkaz:
http://arxiv.org/abs/2107.02269
In this paper we investigate a rate--independent model for hybrid laminates described by a damage phase--field approach on two layers coupled with a cohesive law governing the behaviour of their interface in a one-dimensional setup. For the analysis
Externí odkaz:
http://arxiv.org/abs/2007.08321
We provide global gradient estimates for solutions to a general type of nonlinear parabolic equations, possibly in a Riemannian geometry setting. Our result is new in comparison with the existing ones in the literature, in light of the validity of th
Externí odkaz:
http://arxiv.org/abs/2006.00263