Zobrazeno 1 - 10
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pro vyhledávání: '"Mulone, Giuseppe"'
Autor:
Barletta, Antonio, Mulone, Giuseppe
This paper provides a pedagogical introduction to the classical nonlinear stability analysis of the plane Poiseuille and Couette flows. The whole procedure is kept as simple as possible by presenting all the logical steps involved in the application
Externí odkaz:
http://arxiv.org/abs/2408.04269
Autor:
Mulone, Giuseppe
We study the monotone energy stability of ``Poiseuille flow" in a plane-parallel channel with a saturated porous medium modeled by the Brinkman equation, on the basis of an analogy with a magneto-hydrodynamic problem (Hartmann flow) (cf. \cite{Hill.S
Externí odkaz:
http://arxiv.org/abs/2304.11545
Autor:
Mulone, Giuseppe
The Squire's theorem holds for parallel shear flows governed by the linearized Navier-Stokes equations. Squire writes ``For the study of the stability of flow between parallel walls it is sufficient to confine attention to disturbances of two-dimensi
Externí odkaz:
http://arxiv.org/abs/2304.12323
Autor:
Mulone, Giuseppe
Publikováno v:
Ricerche di Matematica, 2023
We study the monotone nonlinear energy stability of \textit{magnetohydrodynamics plane shear flows, Couette and Hartmann flows}. We prove that the least stabilizing perturbations, in the energy norm, are the two-dimensional spanwise perturbations and
Externí odkaz:
http://arxiv.org/abs/2304.11421
Autor:
Mulone, Giuseppe
Critical Reynolds numbers for the monotone exponential energy stability of Couette and Poiseuille plane flows were obtained by Orr 1907 \cite{Orr1907} in a famous paper, and by Joseph 1966 \cite{Joseph1966}, Joseph and Carmi 1969 \cite{JosephCarmi196
Externí odkaz:
http://arxiv.org/abs/2304.11416
We study the nonlinear stability of plane Couette and Poiseuille flows with the Lyapunov second method by using the classical L2-energy. We prove that the streamwise perturbations are L2-energy stable for any Reynolds number. This contradicts the res
Externí odkaz:
http://arxiv.org/abs/2105.06443
Publikováno v:
Phys. Rev. E 100, 013113 (2019)
In this article we prove, choosing an appropriately weighted $L_2$-energy equivalent to the classical energy, that the plane Couette and Poiseuille flows are nonlinearly stable with respect to streamwise perturbations for any Reynolds number. In this
Externí odkaz:
http://arxiv.org/abs/1807.07441
Publikováno v:
In Mechanics Research Communications October 2022 125
Publikováno v:
In European Journal of Mechanics / B Fluids May-June 2022 93:93-100
Publikováno v:
In Nonlinear Analysis: Real World Applications April 2022 64