Zobrazeno 1 - 10
of 272
pro vyhledávání: '"Michael Renardy"'
Autor:
Yuriko Renardy, Michael Renardy
Publikováno v:
Journal of Non-Newtonian Fluid Mechanics. 262:52-67
A singular perturbation analysis for the Rolie-Poly model is presented for the limit of large relaxation time. The model describes entangled linear polymer melts and time scales for a Rouse time and reptation time. First, the case of the Rouse time a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::760e5086ca63a457bafd00cb2f8b8270
https://doi.org/10.1016/j.jnnfm.2018.02.006
https://doi.org/10.1016/j.jnnfm.2018.02.006
Publikováno v:
Evolution Equations & Control Theory. 7:447-463
In this paper, we consider the Stokes equations in a two-dimen- sional channel with periodic conditions in the direction of the channel. We establish null controllability of this system using a boundary control which acts on the normal component of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22d0acc49630be0075f34c3719fa6b22
https://doi.org/10.3934/eect.2018022
https://doi.org/10.3934/eect.2018022
Publikováno v:
Journal of Differential Equations. 264:575-603
We prove results on approximate controllability for linear viscoelastic flows, with a localized distributed control in the momentum balance equation. The constitutive law is a multimode Maxwell or Jeffreys model with an infinite number of relaxation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4912100c9e3cd7b2c7cfc69c867e5288
https://doi.org/10.1016/j.jde.2017.09.016
https://doi.org/10.1016/j.jde.2017.09.016
Autor:
Becca Thomases, Michael Renardy
Publikováno v:
Journal of Non-Newtonian Fluid Mechanics. 293:104573
We review progress and open challenges for a number of problems related to the Oldroyd B model which are of current interest to the mathematical community. We discuss existence results for initial value problems and steady flows, flow stability, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c63ab39576f53a21cefe980a01f09857
https://doi.org/10.1016/j.jnnfm.2021.104573
https://doi.org/10.1016/j.jnnfm.2021.104573
Autor:
Debanjana Mitra, Michael Renardy
Publikováno v:
Nonlinear Analysis: Real World Applications. 37:94-136
We consider compressible flow with periodic boundary conditions. In a neighborhood of a state of constant density and nonzero velocity, we prove exact null controllability of the system with a control localized in space and acting only on the momentu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::335f1e4983e06bdd84f53937294291e5
https://doi.org/10.1016/j.nonrwa.2017.02.013
https://doi.org/10.1016/j.nonrwa.2017.02.013
Autor:
Michael Renardy
Publikováno v:
Journal of Non-Newtonian Fluid Mechanics. 248:23-26
We consider a generalized Newtonian fluid which exhibits a yield stress and spurt when the yield stress is reached. The constitutive behavior above the yield stress is assumed linear. We solve the associated Rayleigh problem. The solution is not self
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b168e3bd90eed5fd06c25bc537293e0
https://doi.org/10.1016/j.jnnfm.2017.08.011
https://doi.org/10.1016/j.jnnfm.2017.08.011
Autor:
Michael Renardy, Yuriko Renardy
Publikováno v:
Journal of Non-Newtonian Fluid Mechanics. 244:57-74
A viscoelastic constitutive model which combines the partially extending strand convection model and a Newtonian solvent is used in the regime of large relaxation time. Prior work on one dimensional time-dependent solutions at prescribed shear stress
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b941748324cc0a5c1673511255a008a
https://doi.org/10.1016/j.jnnfm.2017.04.005
https://doi.org/10.1016/j.jnnfm.2017.04.005
Autor:
Michael Renardy, Didier Bresch
Publikováno v:
Asymptotic Analysis. 103:95-101
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71d31ac6e40fb2599550e2e790ee0895
https://doi.org/10.3233/asy-171421
https://doi.org/10.3233/asy-171421
Publikováno v:
SIAM Journal on Mathematical Analysis. 49:2950-2964
We consider a class of differential models of viscoelastic fluids with diffusive stress. These constitutive models are motivated by Peterlin dumbbell theories with a nonlinear spring law for an infinitely extensible spring. A diffusion term is includ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::389b34a8dca9648b18713cadf1eefbbb
https://doi.org/10.1137/16m1068505
https://doi.org/10.1137/16m1068505
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 70
We consider the equations of a linear Maxwell fluid with spatially varying coefficients. Pure stress modes are solutions with zero velocity but nonzero stresses. We derive equations to characterize such solutions. In two dimensions, we find that unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::407169f128fc9783c2d7c1f4395f29ad
https://doi.org/10.1007/s00033-019-1140-0
https://doi.org/10.1007/s00033-019-1140-0