Zobrazeno 1 - 10
of 12 439
pro vyhledávání: '"Colli AS"'
Autor:
Colli, Pierluigi, Sprekels, Jürgen
In this paper, we study a hyperbolic relaxation of the viscous Cahn--Hilliard system with zero Neumann boundary conditions. In fact, we consider a relaxation term involving the second time derivative of the chemical potential in the first equation of
Externí odkaz:
http://arxiv.org/abs/2408.16332
This paper investigates an optimal control problem associated with a two-dimensional multi-species Cahn-Hilliard-Keller-Segel tumor growth model, which incorporates complex biological processes such as species diffusion, chemotaxis, angiogenesis, and
Externí odkaz:
http://arxiv.org/abs/2407.18162
Autor:
Colli, Pierluigi, Sprekels, Jürgen
In this paper we study the optimal control of an initial-boundary value problem for the classical nonviscous Cahn-Hilliard system with zero Neumann boundary conditions. Phase field systems of this type govern the evolution of diffusive phase transiti
Externí odkaz:
http://arxiv.org/abs/2406.02384
Given an undirected connected graph $G = (V(G), E(G))$ on $n$ vertices, the minimum Monitoring Edge-Geodetic Set (MEG-set) problem asks to find a subset $M \subseteq V(G)$ of minimum cardinality such that, for every edge $e \in E(G)$, there exist $x,
Externí odkaz:
http://arxiv.org/abs/2405.13875
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations
Partial differential equation (PDE) models for infectious disease have received renewed interest in recent years. Most models of this type extend classical compartmental formulations with additional terms accounting for spatial dynamics, with Fickian
Externí odkaz:
http://arxiv.org/abs/2404.17506
Autor:
Azevedo, Josué A. R., Faurby, Søren, Colli, Guarino R., Antonelli, Alexandre, Werneck, Fernanda P.
Publikováno v:
Diversity and Distributions, 2024 Jul 01. 30(7), 1-14.
Externí odkaz:
https://www.jstor.org/stable/48777294
In this paper we study the optimal control of a parabolic initial-boundary value problem of viscous Cahn-Hilliard type with zero Neumann boundary conditions. Phase field systems of this type govern the evolution of diffusive phase transition processe
Externí odkaz:
http://arxiv.org/abs/2402.18506
This paper deals with a nonlocal model for a hyperbolic phase field system coupling the standard energy balance equation for temperature with a dynamic for the phase variable: the latter includes an inertial term and a nonlocal convolution-type opera
Externí odkaz:
http://arxiv.org/abs/2402.12145
This work investigates the well-posedness and optimal control of a sixth-order Cahn-Hilliard equation, a higher-order variant of the celebrated and well-established Cahn-Hilliard equation. The equation is endowed with a source term, where the control
Externí odkaz:
http://arxiv.org/abs/2401.05189
We investigate a new diffuse-interface model that describes creeping two-phase flows (i.e., flows exhibiting a low Reynolds number), especially flows that permeate a porous medium. The system of equations consists of a Brinkman equation for the volum
Externí odkaz:
http://arxiv.org/abs/2312.15274