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pro vyhledávání: '"Tzella, A"'
Autor:
Needham, D. J., Tzella, A.
We consider the effect of a shear flow which has, without loss of generality, a zero mean flow rate, on a Kolmogorov--Petrovskii--Piscounov (KPP) type model in the presence of a discontinuous cut-off at concentration $u = u_c$. Its structure and spee
Externí odkaz:
http://arxiv.org/abs/2406.16617
In Part II of this series of papers, we consider an initial-boundary value problem for the Kolmogorov--Petrovskii--Piscounov (KPP) type equation with a discontinuous cut-off in the reaction function at concentration $u=u_c$. For fixed cut-off value $
Externí odkaz:
http://arxiv.org/abs/2006.00042
We revisit the classical problem of diffusion of a scalar (or heat) released in a two-dimensional medium with an embedded periodic array of impermeable obstacles such as perforations. Homogenisation theory provides a coarse-grained description of the
Externí odkaz:
http://arxiv.org/abs/2002.04526
Akademický článek
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We consider Kolmogorov--Petrovskii--Piscounov (KPP) type models in the presence of a discontinuous cut-off in reaction rate at concentration $u=u_c$. In Part I we examine permanent form travelling wave solutions (a companion paper, Part II, is devote
Externí odkaz:
http://arxiv.org/abs/1805.01878
Autor:
Tzella, Alexandra, Vanneste, Jacques
We investigate the influence of steady periodic flows on the propagation of chemical fronts in an infinite channel domain. We focus on the sharp front arising in Fisher--Kolmogorov--Petrovskii--Piskunov (FKPP) type models in the limit of small molecu
Externí odkaz:
http://arxiv.org/abs/1804.06287
Autor:
Tzella, Alexandra, Vanneste, Jacques
Publikováno v:
Phys. Rev. Lett. 117, 114501 (2016)
The dispersion of a diffusive scalar in a fluid flowing through a network has many applications including to biological flows, porous media, water supply and urban pollution. Motivated by this, we develop a large-deviation theory that predicts the ev
Externí odkaz:
http://arxiv.org/abs/1510.00784
Autor:
Tzella, Alexandra, Vanneste, Jacques
We investigate the propagation of chemical fronts arising in Fisher--Kolmogorov--Petrovskii--Piskunov (FKPP) type models in the presence of a steady cellular flow. In the long-time limit, a steadily propagating pulsating front is established. Its spe
Externí odkaz:
http://arxiv.org/abs/1502.00832
Autor:
Tzella, Alexandra, Vanneste, Jacques
Publikováno v:
Phys. Rev. E 90, 011001 (2014)
We investigate the influence of fluid flows on the propagation of chemical fronts arising in FKPP type models. We develop an asymptotic theory for the front speed in a cellular flow in the limit of small molecular diffusivity and fast reaction, i.e.,
Externí odkaz:
http://arxiv.org/abs/1404.1010