Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Nowakowski, Andrzej F"'
Autor:
Bestehorn, Michael, Michelitsch, Thomas M., Collet, Bernard A., Riascos, Alejandro P., Nowakowski, Andrzej F.
Publikováno v:
Phys. Rev. E 105, 024205 (2022)
We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible (${\bf S}$), infected (${\bf I}$) or recovered (${\bf R}$). In the state
Externí odkaz:
http://arxiv.org/abs/2111.08950
Autor:
Michelitsch, Thomas M., Riascos, Alejandro Perez, Collet, Bernard, Nowakowski, Andrzej F., Nicolleau, Franck
We analyze generalized space-time fractional motions on undirected networks and lattices. The continuous-time random walk (CTRW) approach of Montroll and Weiss is employed to subordinate a space fractional walk to a generalization of the time-fractio
Externí odkaz:
http://arxiv.org/abs/1910.05949
Autor:
Michelitsch, Thomas, Collet, Bernard, Riascos, Alejandro, Nowakowski, Andrzej F, Nicolleau, Franck C G A
We introduce positive elastic potentials in the harmonic approximation leading by Hamilton's variational principle to fractional Laplacian matrices having the forms of power law matrix functions of the simple local Bornvon Karman Laplacian. The fract
Externí odkaz:
http://arxiv.org/abs/1604.01725
Autor:
Michelitsch, Thomas, Maugin, Gérard, Nowakowski, Andrzej F., Nicolleau, Franck C. G. A., Rahman, Mujibur
We analyze a quasi-continuous linear chain with self-similar distribution of harmonic interparticle springs as recently introduced for one dimension (Michelitsch et al., Phys. Rev. E 80, 011135 (2009)). We define a continuum limit for one dimension a
Externí odkaz:
http://arxiv.org/abs/1207.7132
Autor:
Michelitsch, Thomas, Maugin, Gérard A., Mujibur, Rahman, Derogar, Shahram, Nowakowski, Andrzej F., Nicolleau, Franck C. G. A
This paper is devoted to the analysis of some fundamental problems of linear elasticity in 1D continua with self-similar interparticle interactions. We introduce a self-similar continuous field approach where the self-similarity is reflected by equat
Externí odkaz:
http://arxiv.org/abs/1105.5322
Autor:
Michelitsch, Thomas M., Maugin, Gérard A., Nicolleau, Franck C. G. A., Nowakowski, Andrzej F., Derogar, Shahram
Many systems in nature have arborescent and bifurcated structures such as trees, fern, snails, lungs, the blood vessel system, etc. and look self-similar over a wide range of scales. Which are the mechanical and dynamic properties that evolution has
Externí odkaz:
http://arxiv.org/abs/0910.0728
Publikováno v:
International journal of engineering science 47, 2 (2009) 209-220
We deduce the dynamic frequency-domain-lattice Green's function of a linear chain with properties (masses and next-neighbor spring constants) of exponential spatial dependence. We analyze the system as discrete chain as well as the continuous limitin
Externí odkaz:
http://arxiv.org/abs/0904.1564
Autor:
Michelitsch, Thomas M., Maugin, Gérard A., Nicolleau, Franck C. G. A, Nowakowski, Andrzej. F., Derogar, Shahram
Publikováno v:
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 80 (2009) 011135
We construct self-similar functions and linear operators to deduce a self-similar variant of the Laplacian operator and of the D'Alembertian wave operator. The exigence of self-similarity as a symmetry property requires the introduction of non-local
Externí odkaz:
http://arxiv.org/abs/0904.0780
Publikováno v:
In Energy Procedia October 2018 151:57-61
Publikováno v:
In Chemical Engineering Science 22 June 2016 147:150-165