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Paul Fife

Title: Distinguished Professor Emeritus
Mail address:

        Paul Fife
        Dept of Mathematics
        University of Utah
	155 South 1400 East
        Salt Lake City, UT 84112-0090

Office phone: (801) 581-6819,
Email address: fife@math.utah.edu

Course notes in fluid dynamics

A Gentle Introduction to the Physics and Mathematics of Incompressible Flow

Publications, 1995-present:
- Scaling approaches to wall-induced turbulence P. Fife. Review article.
- On scaling the mean momentum balance and its solutions in turbulent Couette-Poiseuille flow T. Wei, P. Fife, and J. Klewicki, J. Fluid Mech. 573(2007), 371-398.
- 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, 823-839 (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, 5284-5296 (2005).
- Multiscaling in the presence of indeterminacy: wall-induced turbulence P. Fife, T. Wei, J. Klewicki and P. McMurtry, Multiscale Modeling and Simulation 4, 936-959 (2005).
- Stress gradient balance layers and scale hierarchies in wall-bounded turbulent flows, P. Fife, T. Wei, J. Klewicki and P. McMurtry, J. Fluid Mechanics 532, 165-189 (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, 2350-2353 (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, 303-327 (2005)
- Spatial effects in discrete generation population models C. Carrillo and P. C. Fife, J. Mathematical Biology 50, 161-188, (2005).
- Some nonclassical trends in parabolic and parabolic-like evolutions P. C. Fife, in: Trends in Nonlinear Analysis 2000, B. Fiedler, ed., Springer-Verlag, 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, 237-255 (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 Nishiura-Ohnishi free boundary problem in the 1D case P. C. Fife and D. Hilhorst, SIAM J. Math. Anal. 33, 589-606 (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, 291-336 (2001).
- Well-posedness issues for models of phase transitions with weak interaction P. C. Fife, Nonlinearity, 14(2001), 221-238.
- Developments in phase-field modeling of thermoelastic and two-component materials Ch. Charach, C-K. Chen, and P. C. Fife, J. Stat. Physics 95, 1141-1164 (1999).
- A class of pattern-forming models Paul C. Fife and Michal Kowalczyk, J. Nonlinear Science 9(1999), 641-669.
- Pattern formation in gradient systems Paul C. Fife, Handbook for Dynamical Systems, Vol.\ 2, Applications, B. Fiedler, ed., pp. 677--722, Elsevier Science, 2002.
- Nonlocal models of phase transitions in solids C-K Chen and P. C. Fife, Advances in Mathematical Sciences and Applications 10, 821-849 (2000).
- On thermodynamically consistent schemes for phase field equations C. Charach and P. C. Fife, Open Systems and Information Dynamics 5, 99-123 (1998).
- Solidification fronts and solute trapping in a binary alloy C. Charach and P. C. Fife, SIAM J. Appl. Math. 58, 1826-1851 (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, 85-110 (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, 1-31 (1997).
- Existence of traveling waves in a generalized phase field model, P. Bates, P. Fife, R. Gardner & C. Jones, SIAM J. Math. Anal. 28, 60-93 (1997).
- Periodic structures in a Van der Waals fluid P. C. Fife and X-P. Wang, Proc. Roy. Soc. Edinburgh 128A, 235-250 (1998).
- Traveling waves for a nonlocal double obstacle problem Paul C. Fife, Euro. J. Appl. Math. 8, 581-594 (1997).
- A phase-field model for diffusion-induced grain boundary motion, J. Cahn, P. Fife and O. Penrose, Acta Materialia 45, 4397-4413 (1997).
- Traveling waves in a convolution model for phase transitions P. Bates, P. Fife, X. Ren & X. Wang, Archive Rat. Mech. Anal. 138, 105-136 (1997).
- Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation, P. Fife, H. Kielhoefer, S. Maier & T. Wanner, Physica D 100, 257-278 (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., 134-149, SIAM Publications, 1996.
- Models for phase separation and their mathematics P. C. Fife, Electron. J. Diff. Eqns. Vol. 2000, No. 48, 1-26 (2000). (pdf file)
- Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter Paul C. Fife and Oliver Penrose, Electronic J. Differential Equations 1995, No.16, 1-49 (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 137-146 (1995).

Paul Fife

Course notes in fluid dynamics

Publications, 1995-present: