Paul C. Fife

Paul C. Fife's AcademicInfluence.com Rankings

Paul C. Fife

Mathematics

#6011

World Rank

#8393

Historical Rank

Applied Mathematics

#186

World Rank

#206

Historical Rank

Measure Theory

#1064

World Rank

#1367

Historical Rank

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Mathematics

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Paul C. Fife's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Mathematical Aspects of Reacting and Diffusing Systems (1979) (1183)
The approach of solutions of nonlinear diffusion equations to travelling front solutions (1977) (1087)
Second-Order Equations With Nonnegative Characteristic Form (1973) (680)
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions (1990) (608)
Traveling Waves in a Convolution Model for Phase Transitions (1997) (553)
Target patterns in a realistic model of the Belousov–Zhabotinskii reaction (1980) (379)
Dynamics of Internal Layers and Diffusive Interfaces (1988) (336)
Some Nonclassical Trends in Parabolic and Parabolic-like Evolutions (2003) (332)
Nonlinear diffusion in population genetics (1977) (325)
Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows (2005) (221)
Dynamics of Layered Interfaces Arising from Phase Boundaries (1988) (206)
Models for phase separation and their mathematics. (2000) (188)
The Dynamics of Nucleation for the Cahn-Hilliard Equation (1993) (174)
Propagating fronts for competing species equations with diffusion (1980) (149)
Boundary and interior transition layer phenomena for pairs of second-order differential equations☆ (1976) (133)
Semilinear elliptic boundary value problems with small parameters (1973) (131)
A phase plane discussion of convergence to travelling fronts for nonlinear diffusion (1981) (130)
Pattern formation in reacting and diffusing systems (1976) (129)
Spatial effects in discrete generation population models (2005) (125)
Saddle solutions of the bistable diffusion equation (1992) (114)
On the logarithmic mean profile (2009) (108)
On the relation between the standard phase-field model and a “thermodynamically consistent” phase-field model (1993) (107)
Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions (1968) (104)
On von Karman's equations and the buckling of a thin elastic plate (1966) (99)
The approach of solutions of nonlinear diffusion equations to travelling wave solutions (1975) (98)
Asymptotic states for equations of reaction and diffusion (1978) (98)
Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter (1995) (96)
Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and time scales for coarsening (1990) (90)
A physical model of the turbulent boundary layer consonant with mean momentum balance structure (2007) (85)
Hemispheres-in-cell geometry to predict colloid deposition in porous media. (2009) (80)
The generation and propagation of internal layers (1988) (78)
A convolution model for interfacial motion: the generation and propagation of internal layers in higher space dimensions (1998) (75)
Comparison principles for reaction-diffusion systems: Irregular comparison functions and applications to questions of stability and speed of propagation of disturbances (1981) (72)
Interior Transition Layers for Elliptic Boundary Value Problems with a Small Parameter (1974) (69)
Stress gradient balance layers and scale hierarchies in wall-bounded turbulent flows (2005) (62)
A phase-field model for diffusion-induced grain-boundary motion (1997) (58)
Some nonlinear properties of long-crested periodic waves with lengths near 2.44 centimeters (1961) (56)
Long time behavior of solutions of bistable nonlinear diffusion equationsn (1979) (55)
Clines induced by variable selection and migration (1981) (54)
The Nishiura-Ohnishi Free Boundary Problem in the 1D Case (2001) (53)
Multiscaling in the Presence of Indeterminacy: Wall-Induced Turbulence (2005) (51)
Transition layers in singular perturbation problems (1974) (49)
Solutions of parabolic boundary problems existing for all time (1964) (47)
A free-boundary model for diffusion-induced grain boundary motion (2001) (46)
Pattern Formation in Gradient Systems (2002) (45)
Dispersion in flow through small tubes (1975) (40)
TIME AVERAGING IN TURBULENCE SETTINGS MAY REVEAL AN INFINITE HIERARCHY OF LENGTH SCALES (2009) (40)
Phase field models for hypercooled solidification (1997) (40)
Propagator-Controller Systems and Chemical Patterns (1984) (39)
Phase field simulations of grain growth during sintering of two unequal-sized particles (2010) (39)
Scaling heat transfer in fully developed turbulent channel flow (2005) (39)
Understanding the patterns in the BZ reagent (1985) (38)
The existence of travelling wave solutions of a generalized phase-field model (1997) (37)
Existence of convective solutions of the generalized Bénard problem which are analytic in their norm (1969) (36)
Elliptic Problems Involving Phase Boundaries Satisfying a Curvature Condition (1987) (35)
Considerations regarding the mathematical basis for Prandtl's boundary layer theory (1968) (34)
A 3-component system of competition and diffusion (1986) (34)
Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation (1997) (31)
Critical manifolds, travelling waves, and an example from population genetics (1982) (30)
The phase-field description of mushy zones (1989) (29)
Dynamical issues in combustion theory (1991) (28)
On the location of defects in stationary solutions of the Ginzburg-Landau equation in R 2 (1996) (27)
Stationary Patterns for Reaction-Diffusion Equations. (1977) (26)
On scaling the mean momentum balance and its solutions in turbulent Couette–Poiseuille flow (2007) (25)
On Thermodynamically Consistent Schemes for Phase Field Equations (1998) (25)
The Benard Problem for General Fluid Dynamical Equations and Remarks on the Boussinesq Approximation (1970) (24)
Multiplicity and related phenomena in competing reaction flames (1987) (24)
Asymptotic analysis of reaction-diffusion wave fronts (1977) (24)
Mesoscaling of Reynolds Shear Stress in Turbulent Channel and Pipe Flows. (2005) (23)
Diffusive waves in inhomogeneous media (1989) (21)
Existence of heteroclinic orbits for a corner layer problem in anisotropic interfaces (2007) (20)
Current Topics in Reaction-Diffusion Systems (1984) (20)
An Integrodifferential Analog of Semilinear Parabolic PDE’s (2017) (19)
Analysis of a corner layer problem in anisotropic interfaces (2005) (18)
Non‐linear deflection of thin elastic plates under tension (1961) (18)
Electrophoretic traveling waves (1988) (17)
Mean momentum balance in moderately favourable pressure gradient turbulent boundary layers (2008) (17)
On modelling pattern formation by activator-inhibitor systems (1977) (15)
A Class of Pattern-Forming Models (1999) (15)
Schauder estimates under incomplete Hölder continuity assumptions (1963) (15)
Propagation of a combustion front in a striated solid medium: a homogenization analysis (1993) (14)
Solidification Fronts and Solute Trapping in a Binary Alloy (1998) (14)
Stability of Fluid Motions Vols. I and II (Daniel D. Joseph) (1979) (13)
Singularly perturbed elliptic boundary value problems (1971) (12)
Phase field models of solidification in binary alloys:: capillarity and solute trapping effects (1999) (12)
Isotachophoresis: analysis and computation of the structure of the ionic species interface (1987) (11)
Stationary states associated with phase separation in a pure material. I. The large latent heat case (1989) (10)
Analysis of the heteroclinic connection in a singularly perturbed system arising from the study of crystalline grain boundaries (2006) (10)
NONLOCAL MODELS OF PHASETRANSITIONS IN (10)
Toward the validity of Prandtl's approximation in a boundary layer (1965) (9)
Well-posedness issues for models of phase transitions with weak interaction (2001) (9)
Erratum: Hemispheres-in-cell geometry to predict colloid deposition in porous media(Environmental Science and Technology (2010) 44 (4383)) (2010) (9)
Propagating Fronts in Reactive Media (1982) (9)
Singular perturbation problems whose degenerate forms have many solutions (1972) (8)
Motion by curvature in generalized Cahn-Allen models (1994) (8)
On the Question of the Existence and Nature of Homogeneous-Center Target Patterns in the Belousov-Zhabotinskii Reagent (1981) (8)
Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams (2002) (8)
Travelling waves for a nonlocal double-obstacle problem (1997) (8)
Flame fronts with complex chemical networks (1984) (8)
Asymptotic flame theory with complex chemistry (1982) (7)
The singular perturbation approach to flame theory with chain and competing reactions (1982) (7)
Overview of a Methodology for Scaling the Indeterminate Equations of Wall Turbulence (2005) (7)
Clines induced by variable migration (1980) (7)
Developments in Phase-Field Modeling of Thermoelastic and Two-Component Materials (1999) (6)
The Scalar Case (1979) (6)
Numerical technique and computational procedure for isotachophoresis (1990) (6)
Singular Perturbation Problems Arising from the Anisotropy of Crystalline Grain Boundaries (2007) (6)
A phase plane analysis of a corner layer problem arising in the study of crystalline grain boundaries (2006) (6)
Clines and Material Interfaces with Nonlocal Interaction (1996) (5)
A Physical Model of the Turbulent Boundary Layer Consonant with the Structure of the Mean Momentum Balance (5)
Periodic structures in a van der Waals fluid (1998) (5)
Preface and General Introduction (1979) (3)
THE BISTABLE NONLINEAR DIFFUSION EQUATION: BASIC THEORY AND SOME APPLICATIONS (1979) (3)
Solid propellant combustion in striated media with application to the hump effect (1992) (3)
Propagating Waves and Target Patterns in Chemical Systems (1980) (3)
Comments on a paper by Edelson and Thomas on sensitivity analysis of oscillating reactions (1981) (3)
TRAVELING WAVES IN A CONVOLUTIONMODEL FOR PHASE (2007) (2)
Phase Field Models of Free Boundary Problems: Exterior Boundaries Higher Order Equations and Anisotropy (1987) (2)
Geometrical aspects of secondary motion in turbulent duct flow (1992) (2)
Sigmoidal Systems and Layer Analysis (1982) (2)
A note on exterior Dirichlet problems and an application to boundary layer theory (1965) (2)
Results and Open Questions in the Asymptotic Theory of Reaction-Diffusion Equations (1978) (2)
Asymptotic Expansions of Solutions of Quasi-Linear Elliptic Equations with Small Parameter (1975) (2)
Scaling approaches to steady wall-induced turbulence (2023) (2)
The generation of a boundary layer in hydrodynamics (1966) (2)
Comment on G. Caginalp's paper “Penrose-Fife modification of solidification equations has no freezing or melting” (1992) (2)
Fisher’s Nonlinear Diffusion Equation and Selection-Migration Models (1979) (1)
Singular perturbation by a quasilinear operator (1973) (1)
References to Other Topics (1979) (1)
1. Internal Layers (1988) (1)
Modeling the Chemistry in Flames (1988) (1)
Branching Phenomena in Fluid Dynamics and Chemical Reaction-Diffusion Theory (2009) (1)
How Chemical Structure Determines Spatial Structure in Flame Profiles (1984) (1)
An asymptotic and rigorous study of flames with reversible chain branching (1991) (1)
Correction and clarification of “a note on exterior Dirichlet problems and an application to boundary layer theory” (1966) (1)
A multiparameter study of a boundary value problem from chemical reactor theory (1986) (1)
Correction and clarification (2015) (1)
On Discerning Dynamical Structure from the Once-Integrated Momentum Equation (2007) (1)
Systems: Bifurcation Techniques (1979) (0)
Domains of uniqueness for parabolic equations (1968) (0)
4. Waves in Excitable and Self-Oscillatory Media (1988) (0)
Formulation of Mathematical Problems (1979) (0)
DOMAINS OF UNIQUENESS FOR PARABOLIC EQUATIONS1 (2010) (0)
DOMAINS OF UNIQUENESS FOR PARABOLIC EQUATIONS1 (2010) (0)
Book Review: Ginzburg-Landau vortices (1996) (0)
On Yakhno's Model for a Leading Center. (1980) (0)
Thermodynamieally Consistent Phase-field ModelsOf Solidification Processes (1997) (0)
Global Solutions of Reaction-Diffusion Systems (Franz Rothe) (1986) (0)
NUMERICAL CALCULATION OF BLAST WAVES IN A NON-UNIFORM ATMOSPHERE (1954) (0)
$62.95 (cloth), 400 ppJ. David Logan, An Introduction to Nonlinear Partial Differential Equations, John Wiley & Sons, New York (1994). (1995) (0)
Systems: Singular Perturbation and Scaling Techniques (1979) (0)
Interfaces in Electrophoresis, Two-Phase Models, and Excitable Media (1988) (0)
Motion resulting from diffusion within an interface (1994) (0)
Theories and Conjectures on Membrane-Supported Waves and Patterns (1977) (0)
Correction for Klewicki et al., A physical model of the turbulent boundary layer consonant with mean momentum balance structure (2007) (0)
2. Flame Theory (1988) (0)
Systems: Comparison Techniques (1979) (0)
Multiscale analysis of heat transfer in fully developed turbulent channel flow (2005) (0)
Characteristics of the Mean Momentum Balance in Turbulent Boundary Layers With Favorable Pressure Gradient (2005) (0)
Systems: Linear Stability Techniques (1979) (0)
Measurement of the Force Balance in Favorable Pressure Gradient Turbulent Boundary Layers (2006) (0)
Spatial Models in Epidemiology and Genetics (1980) (0)
ASYMPTOTICFLAMETHEORYWITH COMPLEXCHEMISTRY (1998) (0)
Log law via first principles (2009) (0)
Book reviews (1995) (0)
How Certain Robot Attributes Influence Human-to-Robot Social and Emotional Bonds (2023) (0)

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What Schools Are Affiliated With Paul C. Fife?

Paul C. Fife is affiliated with the following schools:

University of Utah

Paul C. Fife's Academic­Influence.com Rankings

Why Is Paul C. Fife Influential?

Paul C. Fife's Published Works

Published Works

What Schools Are Affiliated With Paul C. Fife?

Paul C. Fife's AcademicInfluence.com Rankings