Zobrazeno 1 - 10
of 202
pro vyhledávání: '"35-xx"'
The theory of Monge-Kantorovich Optimal Mass Transport (OMT) has in recent years spurred a fast developing phase of research in stochastic control, control of ensemble systems, thermodynamics, data science, and several other fields in engineering and
Externí odkaz:
http://arxiv.org/abs/2408.14707
We study the dynamics of front solutions in a certain class of multi-component reaction-diffusion systems, where one fast component governed by an Allen-Cahn equation is weakly coupled to a system of $N$ linear slow reaction-diffusion equations. By u
Externí odkaz:
http://arxiv.org/abs/2406.04458
The aim of this work is to deal with a discontinuous Hamilton-Jacobi equation in the whole euclidian N-dimensional space, associated to a possibly unbounded optimal control problem. Here, the discontinuities are located on a hyperplane and the typica
Externí odkaz:
http://arxiv.org/abs/2405.06396
Autor:
Kaiser, Gerald
Positive-energy solutions of the Klein-Gordon equation form a Hilbert space of holomorphic functions on the future tube. This domain is interpreted as an extended phase space for the associated classical particle, the extra dimensions being the time
Externí odkaz:
http://arxiv.org/abs/2304.08392
Autor:
Blel Mongi, Benameur Jamel
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 843-868 (2024)
In 2008, Cai and Jiu showed that the Cauchy problem of the Navier-Stokes equations, with damping α∣u∣β−1u\alpha {| u| }^{\beta -1}u for α>0\alpha \gt 0 and β≥1\beta \ge 1 has global weak solutions in L2(R3){L}^{2}\left({{\mathbb{R}}}^{3})
Externí odkaz:
https://doaj.org/article/50e3110b608a4e9ca58a7f25fea9acf8
Autor:
Blel, Mongi, Benameur, Jamel
We study the uniqueness, the continuity in $L^2$ and the large time decay for the Leray solutions of the $3D$ incompressible Navier-Stokes equations with the nonlinear exponential damping term $a (e^{b |u|^{\bf 2}}-1)u$, ($a,b>0$) studied by the seco
Externí odkaz:
http://arxiv.org/abs/2206.03138
We consider a family of exact solutions to a nonlinear reaction-diffusion model, constructed using nonclassical symmetry analysis. In a particular limit, the mathematical model approaches the well-known Fisher-KPP model, which means that it is relate
Externí odkaz:
http://arxiv.org/abs/2202.08915
Autor:
Wang, Hao, Salmaniw, Yurij
Publikováno v:
Journal of Mathematical Biology (2023)
The inclusion of cognitive processes, such as perception, learning and memory, are inevitable in mechanistic animal movement modelling. Cognition is the unique feature that distinguishes animal movement from mere particle movement in chemistry or phy
Externí odkaz:
http://arxiv.org/abs/2201.09150
Autor:
Amara, Mustapha, Benameur, Jamel
In \cite{YZ}, the author proved the global existence of the two-dimensional anisotropic quasi-geostrophic equations with condition on the parameters $\alpha,$ $\beta$ in the Sobolev spaces $H^s( \R^2)$; $s\geq 2$. In this paper, we show that this equ
Externí odkaz:
http://arxiv.org/abs/2112.10164
Publikováno v:
Proceedings of the 6th International workshop on Image Processing for Art Investigation (IP4AI) 2018
In this work we present a dual-mode mid-infrared workflow [6], for detecting sub-superficial mural damages in frescoes artworks. Due to the large nature of frescoes, multiple thermal images are recorded. Thus, the experimental setup may introduce mea
Externí odkaz:
http://arxiv.org/abs/2106.15253