Zobrazeno 1 - 10
of 392
pro vyhledávání: '"Colombo, Rinaldo"'
Consider the inverse design problem for a scalar conservation law, i.e., the problem of finding initial data evolving into a given profile at a given time. The solution we present below takes into account localizations both in the final interval wher
Externí odkaz:
http://arxiv.org/abs/2403.17463
Autor:
Colombo, Rinaldo M., Rossi, Elena
We prove the well posedness of a class of non linear and non local mixed hyperbolic-parabolic systems in bounded domains, with Dirichlet boundary conditions. In view of control problems, stability estimates on the dependence of solutions on data and
Externí odkaz:
http://arxiv.org/abs/2309.06241
Recently, results regarding the Inverse Design problem for Conservation Laws and Hamilton-Jacobi equations with space-dependent convex fluxes were obtaine. More precisely, characterizations of attainable sets and the set of initialdata evolving at a
Externí odkaz:
http://arxiv.org/abs/2305.08427
Consider a Conservation Law and a Hamilton-Jacobi equation with a ux/Hamiltonian depending also on the space variable. We characterize rst the attainable set of the two equations and, second, the set of initial data evolving at a prescribed time into
Externí odkaz:
http://arxiv.org/abs/2304.05092
Consider a balance law where the flux depends explicitly on the space variable. At jump discontinuities, modeling considerations may impose the defect in the conservation of some quantities, thus leading to non conservative products. Below, we deduce
Externí odkaz:
http://arxiv.org/abs/2304.00587
We present a unified framework ensuring well posedness and providing stability estimates to a class of Initial Boundary Value Problems for renewal equations comprising a variety of biological or epidemiological models. This versatility is achieved co
Externí odkaz:
http://arxiv.org/abs/2301.01539
Consider the coupling of $2$ evolution equations, each generating a global process. We prove that the resulting system generates a new global process. This statement can be applied to differential equations of various kinds. In particular, it also yi
Externí odkaz:
http://arxiv.org/abs/2211.01853
Autor:
Colombo, Rinaldo M., Garavello, Mauro
Publikováno v:
Acta Biotheoretica, 71:1, 2023
We propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immunization times and immunization levels. Differences due to individuals' a
Externí odkaz:
http://arxiv.org/abs/2112.14626
Autor:
Colombo, Rinaldo M., Rossi, Elena
We develop a time and space dependent predator-prey model. The predators' equation is a non local hyperbolic balance law, while the diffusion of prey obeys a parabolic equation, so that predators "hunt" for prey, while prey diffuse. A control term al
Externí odkaz:
http://arxiv.org/abs/2003.14062