Zobrazeno 1 - 10
of 34
pro vyhledávání: '"K. H. Winters"'
We study heterogeneous steady-state solutions of a cell-chemotaxis model for generating biological spatial patterns in two-dimensional domains with zero flux boundary conditions. We use the finite-element package ENTWIFE to investigate bifurcation fr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95d53152e8a4058df803f65c02d2cac5
https://doi.org/10.1016/0899-8248(90)90018-6
https://doi.org/10.1016/0899-8248(90)90018-6
We consider a simple cell-chemotaxis model for spatial pattern formation on two-dimensional domains proposed by Oster and Murray (1989, J. exp. Zool. 251 , 186–202). We determine finite-amplitude, steady-state, spatially heterogeneous solutions and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58b6b356d4c9675cc8642e3859ad1260
https://ora.ox.ac.uk/objects/uuid:87a36342-0274-4cbe-b4a8-e0c26c02aa57
https://ora.ox.ac.uk/objects/uuid:87a36342-0274-4cbe-b4a8-e0c26c02aa57
Publikováno v:
Dynamics of Complex Interconnected Biological Systems ISBN: 9781468467864
Chemotaxis is known to be important in cell aggregation in a variety of contexts. We propose a simple partial differential equation model for a chemotactic system of two species, a population of cells and a chemoattractant to which cells respond. Lin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f25a1a08003378f4ac2a48cb32b69a77
https://ora.ox.ac.uk/objects/uuid:5ad588bc-f285-4208-9956-5d30a492a57e
https://ora.ox.ac.uk/objects/uuid:5ad588bc-f285-4208-9956-5d30a492a57e
Autor:
K. H. Winters, David K. Gartling, Alastair Spence, Philip M. Gresho, John W. Goodrich, T. J. Garratt, J. R. Torczynski, K. A. Cliffe
Publikováno v:
International Journal for Numerical Methods in Fluids. 17:501-541
A detailed case study is made of one particular solution of the 2D incompressible Navier-Stokes equations. Careful mesh refinement studies were made using four different methods (and computer codes): (1) a high-order finite-element method solving the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35e6231dd0157ac840d5592758e02ebb
https://doi.org/10.1002/fld.1650170605
https://doi.org/10.1002/fld.1650170605
Publikováno v:
Physics of Fluids A: Fluid Dynamics. 3:535-550
Techniques of bifurcation theory are used to analyze the possible forms of steady, two‐dimensional, buoyancy‐driven flow present during the vertical directional solidification of a dilute binary mixture. Morphological instabilities of the crystal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::398900241af5742064343f9f7a77f105
https://doi.org/10.1063/1.858115
https://doi.org/10.1063/1.858115
Publikováno v:
Nonlinearity. 3:197-230
Analytical and numerical techniques of bifurcation theory are used to study the influence of aspect ratio and the effects of a (small) sidewall heat transfer on steady two-dimensional free convection in a saturated porous cavity heated from below. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55764bcfedcfb603576e3b49c6371270
https://doi.org/10.1088/0951-7715/3/1/011
https://doi.org/10.1088/0951-7715/3/1/011
Publikováno v:
Nonlinear Wave Processes in Excitable Media ISBN: 9781489936851
Waves formed by the propagation of gradients in a supporting medium are an ubiquitous phenomenon in the gaseous, liquid and solid phases of matter. The wave motion and shape are maintained by a supply of energy either internal or external to the syst
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2924f59ed651827b12a4ee3822edad81
https://doi.org/10.1007/978-1-4899-3683-7_40
https://doi.org/10.1007/978-1-4899-3683-7_40
Autor:
K. H. Winters
Publikováno v:
Numerical Simulation of Oscillatory Convection on Low-Pr Fluids ISBN: 9783528076283
Results of a bifurcation analysis of the test cases prescribed for the GAMM Workshop on the Numerical Simulation of Oscillatory Convection in Low Prandtl Number Fluids are presented. An oscillatory instability which arises at a Hopf bifurcation in th
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https://explore.openaire.eu/search/publication?articleId=doi_________::19f871ec7aa203af4f9c064a509510ac
https://doi.org/10.1007/978-3-322-87877-9_38
https://doi.org/10.1007/978-3-322-87877-9_38
Publikováno v:
Numerical Simulation of Oscillatory Convection on Low-Pr Fluids ISBN: 9783528076283
The resume of the benchmark cases, in the rigid-rigid (R-R) and rigid-free (R-F) cases is done by focusing on the main requested quantities: U*, V*,Ψ* and their locations. We recall that U*=maximum of | u(y) | at x=0.5; V*=maximum of | v(x) | at y=1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51ae9c73e5f72f1d261f076141b4c3c8
https://doi.org/10.1007/978-3-322-87877-9_36
https://doi.org/10.1007/978-3-322-87877-9_36
Autor:
K. H. Winters, D. S. Riley
Publikováno v:
Journal of Fluid Mechanics. 223:457
Techniques of bifurcation theory are used to study the porous-medium analogue of thc classical Rayleigh-Bdnard problem, Lapwood convection in a two-dimensional saturated porous cavity heated from bclow. The focus of the study concerns the destabiliza
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0482bb77a7683a4368bcc2702e71534f
https://doi.org/10.1017/s0022112091001490
https://doi.org/10.1017/s0022112091001490