Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Paul C. Fife"'
Autor:
Paul C. Fife
Publikováno v:
Electronic Journal of Differential Equations, Vol 2000, Iss 48, Pp 1-26 (2000)
The gradient flow approach to the Cahn-Hilliard and phase field models is developed, and some basic mathematical properties of the models, especially phase separation phenomena, are reviewed.
Externí odkaz:
https://doaj.org/article/4dd047cacdea47bdb17beab796732d1b
Autor:
Paul C. Fife, Oliver Penrose
Publikováno v:
Electronic Journal of Differential Equations, Vol 1995, Iss 16, Pp 1-49 (1995)
We study certain approximate solutions of a system of equations formulated in an earlier paper (Physica D 43, 44-62 (1990)) which in dimensionless form are $$u_t + gamma w(phi)_t = abla^2u,,$$ $$alpha epsilon^2phi_t = epsilon^2abla^2phi + F(phi,u),,$
Externí odkaz:
https://doaj.org/article/e51849f93aad4451819bf171c15d37f1
Autor:
Paul C. Fife
The semilinear parabolic partial differential equation 1 ∂ t u = Σ ∂ i a i j ( x ) ∂ j u − f ( u , x ) , x ∈ Ω , t ≥ 0 , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203744369/8f22f30f-aed9-454d-b29c-6858
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07c790bf3951e94daba95f54da19c00b
https://doi.org/10.1201/9780203744369-12
https://doi.org/10.1201/9780203744369-12
Publikováno v:
Environmental Science & Technology. 43:8573-8579
A "hemispheres-in-cell" geometry is provided for prediction of colloid retention during transport in porous media. This new geometry preserves the utilities provided in the Happel sphere-in-cell geometry; namely, the ability to predict deposition for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37745ff4c820b691e20846d5ff52e2c0
https://doi.org/10.1021/es901242b
https://doi.org/10.1021/es901242b
Publikováno v:
Journal of Fluid Mechanics. 638:73-93
Elements of the first-principles-based theory of Weiet al. (J. Fluid Mech., vol. 522, 2005, p. 303), Fifeet al. (Multiscale Model. Simul., vol. 4, 2005a, p. 936;J. Fluid Mech., vol. 532, 2005b, p. 165) and Fife, Klewicki & Wei (J. Discrete Continuous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fd92758b8ef10c6dcc152eae4fb3435
https://doi.org/10.1017/s002211200999084x
https://doi.org/10.1017/s002211200999084x
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 24:781-807
The problem of discerning key features of steady turbulent flow adjacent to a wall has drawn the attention of some of the most noted fluid dynamicists of all time. Standard examples of such features are found in the mean velocity profiles of turbulen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::344f1c6849aca13faca9e4f684f119eb
https://doi.org/10.3934/dcds.2009.24.781
https://doi.org/10.3934/dcds.2009.24.781
Publikováno v:
Journal of Fluid Mechanics. 617:107-140
Moderately favourable pressure gradient turbulent boundary layers are investigated within a theoretical framework based on the unintegrated two-dimensional mean momentum equation. The present theory stems from an observed exchange of balance between
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fbd0d009d472487eb709a1eccb847a0
https://doi.org/10.1017/s0022112008003637
https://doi.org/10.1017/s0022112008003637
Publikováno v:
Journal of Dynamics and Differential Equations. 19:935-949
Mathematically, the problem considered here is that of heteroclinic connections for a system of two second-order differential equations of gradient type, in which a small parameter $$\epsilon$$ conveys a singular perturbation. The physical motivation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6da0cb7627406a0c9f355630bf6ce892
https://doi.org/10.1007/s10884-007-9078-x
https://doi.org/10.1007/s10884-007-9078-x
Publikováno v:
Journal of Fluid Mechanics. 573:371-398
The statistical properties of fully developed planar turbulent Couette–Poiseuille flow result from the simultaneous imposition of a mean wall shear force together with a mean pressure force. Despite the fact that pure Poiseuille flow and pure Couet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1840f64f4013460c24de473b3ddebbad
https://doi.org/10.1017/s0022112006003958
https://doi.org/10.1017/s0022112006003958
Publikováno v:
Scopus-Elsevier
Recent efforts by the present authors have focused on the fundamental multiscaling behaviors of the time averaged dynamical equations of wall turbulence. These efforts have generated a number of new results relating to dynamical structure, as well as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::721937e91c5edef5d9242ffcec246106
https://doi.org/10.2514/1.18911
https://doi.org/10.2514/1.18911