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Paul Fife's Home Page
Paul Fife
Title: Distinguished Professor Emeritus
Mail address:
Paul Fife
Dept of Mathematics
University of Utah
155 South 1400 East
Salt Lake City, UT 841120090
Office phone: (801) 5816819,
Email address: fife@math.utah.edu
Course notes in fluid dynamics

A Gentle Introduction to the Physics and Mathematics of
Incompressible Flow
Publications, 1995present:

Scaling approaches to wallinduced turbulence
P. Fife. Review article.

On
scaling the
mean momentum balance and its solutions
in turbulent CouettePoiseuille flow
T. Wei, P. Fife, and J. Klewicki, J. Fluid Mech. 573(2007), 371398.

A physical model of the turbulent boundary layer consonant with
mean momenum balance structure
J. Klewicki, P. Fife, T. Wei, and P. McMurtry,
Phil. Trans. R. Soc. A 365, 823839 (2007).

Existence of heteroclinic orbits for a corner layer problem in
anisotropic interfaces
C. Sourdis and P. Fife, Advances in Differential Equations, in press.

Scaling heat transfer in fully developed turbulent channel flow
T. Wei, P. Fife, J. Klewicki, and P. McMurtry, Int. J. Heat & Mass
Transfer 48, 52845296 (2005).

Multiscaling in the presence of indeterminacy: wallinduced
turbulence P. Fife, T. Wei, J. Klewicki and P. McMurtry,
Multiscale Modeling and Simulation 4, 936959 (2005).

Stress gradient balance layers and scale hierarchies in
wallbounded turbulent flows, P. Fife, T. Wei, J. Klewicki and
P. McMurtry, J. Fluid Mechanics 532, 165189 (2005).

Meso scaling of Reynolds shear stress in turbulent channel and pipe
flows,
T. Wei, P. McMurtry, J. Klewicki,
and P. Fife, AIAA Jour. 43, 23502353 (2005).

Properties of the mean momentum balance in turbulent boundary
layer, pipe and channel flows,
T. Wei, P. Fife, J. Klewicki and P. McMurtry, J. Fluid Mechanics
522, 303327 (2005)

Spatial effects in discrete generation population models
C. Carrillo and P. C. Fife, J. Mathematical Biology 50, 161188, (2005).

Some nonclassical trends in parabolic and paraboliclike
evolutions P. C. Fife, in: Trends
in Nonlinear Analysis 2000, B. Fiedler, ed., SpringerVerlag, 2002.

Analysis of a corner layer problem in anisotropic interfaces
N. D. Alikakos, P. W. Bates, J. W. Cahn, P. Fife,
G. Fusco and G. B. Tanoglu, Discrete & Continuous Dynamical Systems 6,
237255 (2006).

A phase plane analysis of a corner layer problem arising in the
study
of crystalline interfaces
P. Fife,
manuscript (2003).

Analysis of the heteroclinic connection in a singularly perturbed
system arising from the study of crystalline grain boundaries
N. D. Alikakos, P. Fife, G. Fusco and C. Sourdis,
Interfaces & Free Bdry Problems,
in press.

Chemically induced grain
boundary dynamics, forced motion by curvature, and the
appearance of double seams P. C. Fife and X.P. Wang, Eur. J.
Appl. Math. (2001).

The NishiuraOhnishi free boundary problem in the 1D case
P. C. Fife and D. Hilhorst, SIAM J. Math. Anal. 33, 589606 (2002).

A free boundary model for diffusion induced grain
boundary motion
P. C. Fife, J. W. Cahn, C. M. Elliott, Interfaces and Free
Boundaries 3, 291336 (2001).

Wellposedness issues for models of phase transitions
with weak interaction
P. C. Fife, Nonlinearity, 14(2001), 221238.

Developments in phasefield modeling of
thermoelastic and twocomponent materials
Ch. Charach, CK. Chen, and P. C. Fife, J. Stat. Physics
95,
11411164 (1999).

A class of patternforming models Paul C. Fife and
Michal Kowalczyk, J. Nonlinear Science 9(1999), 641669.

Pattern formation in gradient systems Paul C. Fife,
Handbook for Dynamical Systems, Vol.\ 2, Applications, B. Fiedler, ed.,
pp. 677722, Elsevier Science, 2002.

Nonlocal models of phase transitions in solids CK Chen
and P. C. Fife, Advances in Mathematical Sciences
and Applications 10, 821849 (2000).

On thermodynamically consistent schemes for phase field
equations C. Charach and P. C. Fife, Open Systems
and Information Dynamics 5, 99123 (1998).

Solidification fronts and solute trapping in a binary
alloy C. Charach and P. C. Fife, SIAM J. Appl. Math.
58, 18261851 (1998).

A convolution model for interfacial motion: the generation and
propagation of internal layers in higher space dimensions
Paul C. Fife and
Xuefeng Wang, Advances in Diff.
Eqns. 3, 85110 (1998).

Phase field models for hypercooled solidification
P. W. Bates, P. C. Fife, R. A. Gardner, and C. K. R. T. Jones,
Physica D 104, 131 (1997).
 Existence of traveling waves in a generalized phase field model,
P. Bates, P. Fife,
R. Gardner & C. Jones, SIAM J. Math. Anal. 28, 6093 (1997).

Periodic structures in a
Van der Waals fluid
P. C. Fife and XP. Wang,
Proc. Roy. Soc. Edinburgh 128A, 235250 (1998).

Traveling waves for a nonlocal double obstacle problem
Paul C. Fife, Euro. J. Appl. Math. 8, 581594 (1997).
 A phasefield model for diffusioninduced grain boundary motion,
J. Cahn, P. Fife and O. Penrose, Acta Materialia 45, 43974413 (1997).

Traveling waves in a convolution model for phase transitions
P. Bates, P. Fife, X. Ren & X. Wang, Archive Rat. Mech.
Anal. 138, 105136 (1997).
 Perturbation of doubly periodic solution branches with
applications to the CahnHilliard equation, P. Fife, H. Kielhoefer,
S. Maier
& T. Wanner, Physica D 100, 257278 (1997).

Clines and material interfaces with nonlocal interaction
Paul C. Fife, in Nonlinear Problems in Applied Mathematics,
T. S. Angell, L. Pamela Cook, R. E. Kleinman and
W. E. Olmstead, eds., 134149, SIAM Publications, 1996.

Models for phase separation and their mathematics
P. C. Fife, Electron. J. Diff. Eqns. Vol. 2000, No. 48, 126
(2000). (pdf file)

Interfacial dynamics for thermodynamically consistent
phasefield models with nonconserved order parameter
Paul C. Fife and Oliver Penrose, Electronic J. Differential
Equations 1995, No.16, 149 (1995).
 An integrodifferential analog of semilinear parabolic PDE's,
Paul C. Fife,
in Partial Differential Equations and Applications, Lecture Notes in
Pure and Applied Mathematics Vol. 177, Marcellini, Vesentini,
Talenti, eds., Marcel Dekker 137146 (1995).