Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Rita Tracinà"'
Autor:
Rita Tracinà
Publikováno v:
Symmetry, Vol 16, Iss 8, p 1023 (2024)
In this paper, we investigate evolution systems in two components, characterized by higher-order spatial derivatives and the presence of two arbitrary functions. Our study begins with an analysis of a fourth-order system. We perform a detailed group
Externí odkaz:
https://doaj.org/article/2ca937eaf7104b3396dbb36e9094237f
Autor:
Mariano Torrisi, Rita Tracinà
Publikováno v:
Symmetry, Vol 15, Iss 10, p 1936 (2023)
We have studied a class of (1+1)-dimensional equations that models phenomena with heterogeneous diffusion, advection, and reaction. We have analyzed these fourth-order partial differential equations within the framework of group methods. In this clas
Externí odkaz:
https://doaj.org/article/ad85f15830e24e438952bdcf65a2b85c
Autor:
Mariano Torrisi, Rita Tracinà
Publikováno v:
Mathematics, Vol 11, Iss 1, p 160 (2022)
This paper is devoted to apply the Lie methods to a class of reaction diffusion advection systems of two interacting species u and v with two arbitrary constitutive functions f and g. The reaction term appearing in the equation for the species v is a
Externí odkaz:
https://doaj.org/article/e952c93033cf409ab6fc8255dd9778fb
Autor:
Mariano Torrisi, Rita Tracinà
Publikováno v:
Symmetry, Vol 14, Iss 10, p 2009 (2022)
In this paper, we consider some reaction–advection–diffusion systems in order to obtain exact solutions via a symmetry approach. We write the determining system of a general class. Then, for particular subclasses, we obtain special forms of the a
Externí odkaz:
https://doaj.org/article/0a757374706e4d65ad937bd813664445
Publikováno v:
Mathematics, Vol 10, Iss 6, p 954 (2022)
In this work, we consider a family of nonlinear third-order evolution equations, where two arbitrary functions depending on the dependent variable appear. Evolution equations of this type model several real-world phenomena, such as diffusion, convect
Externí odkaz:
https://doaj.org/article/340ab30266204acbb4c344511ec7a8d7
Publikováno v:
Mathematics, Vol 10, Iss 2, p 254 (2022)
A family of third-order partial differential equations (PDEs) is analyzed. This family broadens out well-known PDEs such as the Korteweg-de Vries equation, the Gardner equation, and the Burgers equation, which model many real-world phenomena. Further
Externí odkaz:
https://doaj.org/article/f3e6b866b97f4cc297005bdd051a4f9b
Publikováno v:
Mathematics, Vol 9, Iss 21, p 2767 (2021)
It is with great sadness that we write this memoriam for our beloved friend and colleague Maria de los Santos Bruzón who was an editor of this Special Issue [...]
Externí odkaz:
https://doaj.org/article/c091364d6f67411f88142ca263ba844f
Autor:
Mariano Torrisi, Rita Tracinà
Publikováno v:
Symmetry, Vol 7, Iss 4, Pp 1929-1944 (2015)
In this paper, we consider a quite general class of advection reaction diffusion systems. By using an equivalence generator, derived in a previous paper, the authors apply a projection theorem to determine some special forms of the constitutive funct
Externí odkaz:
https://doaj.org/article/11f2aba6ab964356a34588749d6a68d5
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
Externí odkaz:
https://doaj.org/article/bca0a160a11f413eb0f50840a9d2d42a
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:2050-2058
In this paper we consider a class of chemotaxis models with two arbitrary constitutive functions g(u) and f(v). After having performed a complete symmetry group classification with respect to them the reduced systems are derived. By considering g(u)