Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Marco Menale"'
Autor:
Bruno Carbonaro, Marco Menale
Publikováno v:
Mathematics, Vol 12, Iss 10, p 1571 (2024)
A very important class of models widely used nowadays to describe and predict, at least in stochastic terms, the behavior of many-particle systems (where the word “particle” is not meant in the purely mechanical sense: particles can be cells of a
Externí odkaz:
https://doaj.org/article/b7a2e833f17142bd9fecb8ccd8d0032f
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1751 (2023)
We propose and examine a model expressed by stochastic differential equations for the evolution of a complex system. We refer in particular to a market society, in which the state of each individual is identified by the amount of money at his/her dis
Externí odkaz:
https://doaj.org/article/4aa4406583244559a9b6cf7cd5ebdf97
Autor:
Marco Menale, Bruno Carbonaro
Publikováno v:
AIMS Biophysics, Vol 7, Iss 3, Pp 204-218 (2020)
This paper is devoted to a mathematical proof of the continuous dependence on the initial data for the discrete thermostatted kinetic framework, for all T > 0. This is a versatile model for describing the time-evolution of a biological complex system
Externí odkaz:
https://doaj.org/article/3b6e052edfc4414d856348e0b797f945
Autor:
Carlo Bianca, Marco Menale
Publikováno v:
Mathematics, Vol 10, Iss 9, p 1407 (2022)
This paper is devoted to the mathematical analysis of a spatially homogeneous thermostatted kinetic theory framework with an unbounded activity domain. The framework consists of a partial integro-differential equation with quadratic nonlinearity wher
Externí odkaz:
https://doaj.org/article/16e007b012204d439b66894470313324
Autor:
Bruno Carbonaro, Marco Menale
Publikováno v:
Axioms, Vol 10, Iss 2, p 59 (2021)
A complex system is a system involving particles whose pairwise interactions cannot be composed in the same way as in classical Mechanics, i.e., the result of interaction of each particle with all the remaining ones cannot be expressed as a sum of it
Externí odkaz:
https://doaj.org/article/debcf84682f944e39df149af4dd8d6a1
Publikováno v:
Symmetry, Vol 12, Iss 4, p 517 (2020)
This paper is devoted to the derivation and mathematical analysis of new thermostatted kinetic theory frameworks for the modeling of nonequilibrium complex systems composed by particles whose microscopic state includes a vectorial state variable. The
Externí odkaz:
https://doaj.org/article/d9e4310d7f5e4528929edc4edb52844c
Autor:
Carlo Bianca, Marco Menale
Publikováno v:
Mathematics, Vol 8, Iss 1, p 57 (2020)
This paper deals with the mathematical analysis of a thermostatted kinetic theory equation. Specifically, the assumption on the domain of the activity variable is relaxed allowing for the discrete activity to attain real values. The existence and uni
Externí odkaz:
https://doaj.org/article/43cf2fc4df9640dd8f57a1aaa28a428c
Autor:
Carlo Bianca, Marco Menale
Publikováno v:
Mathematics, Vol 7, Iss 8, p 673 (2019)
The existence and reaching of nonequilibrium stationary states are important issues that need to be taken into account in the development of mathematical modeling frameworks for far off equilibrium complex systems. The main result of this paper is th
Externí odkaz:
https://doaj.org/article/3b34777986a0456bab19adc72c19595c
Autor:
Bruno Carbonaro, Marco Menale
Publikováno v:
Mathematics, Vol 7, Iss 7, p 602 (2019)
The paper deals with the problem of continuous dependence on initial data of solutions to the equation describing the evolution of a complex system in the presence of an external force acting on the system and of a thermostat, simply identified with
Externí odkaz:
https://doaj.org/article/afa4a92c65cd4686b8b4e260316f43e4
Autor:
Bruno Carbonaro, Marco Menale
Publikováno v:
Methods and Applications of Analysis. 29:249-264
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7dc96f683f0567c630fe06edf5f8285c
https://doi.org/10.4310/maa.2022.v29.n3.a2
https://doi.org/10.4310/maa.2022.v29.n3.a2