## Fife, Paul C.

Compute Distance To:
 Author ID: fife.paul-c Published as: Fife, Paul C.; Fife, P. C.; Fife, P.; Fife, Paul more...less Homepage: http://www.math.utah.edu/~fife/ External Links: MGP
 Documents Indexed: 109 Publications since 1961, including 2 Books 1 Contribution as Editor Reviewing Activity: 3 Reviews Biographic References: 1 Publication Co-Authors: 50 Co-Authors with 65 Joint Publications 1,306 Co-Co-Authors
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### Co-Authors

 41 single-authored 8 Wei, Tie 6 Bates, Peter W. 5 McMurtry, Patrick 5 Penrose, Oliver 4 Nicolaenko, Basil 4 Peletier, Lambertus Adrianus 4 Tang, Min Ming 3 Alikakos, Nicholas D. 3 Cahn, John W. 3 Charach, Chaim 3 Fusco, Giorgio 3 Klewicki, Joseph C. 3 McLeod, John Bryce 3 Sourdis, Christos 2 Berger, Melvyn S. 2 Brauner, Claude-Michel 2 Caginalp, Gunduz 2 Chen, Chi-Kan 2 Gardner, Robert A. 2 Jones, Christopher K. R. T. 2 Namah, G. S. 2 Schmidt-Lainé, Claudine 2 Wang, Xuefeng 1 Besala, Piotr 1 Clavin, Paul 1 Conley, Charles Cameron 1 Dang, Ha 1 Elliott, Charles M. 1 Geng, Xiao 1 Greenlee, Wilfred M. 1 Hastings, Stuart P. 1 Hilhorst, Danielle 1 Hsiao, Ling 1 Joseph, Daniel D. 1 Kielhöfer, Hansjörg 1 Klewicki, Joe 1 Kowalczyk, Michał 1 Lacey, Andrew A. 1 Liñán, Amable 1 Ling, Hsiao 1 Lu, Chunqing 1 Maier-Paape, Stanislaus 1 Mimura, Masayasu 1 Nicholes, K. R. K. 1 Palusinski, Olgierd A. 1 Ren, Xiaofeng 1 Su, Yu 1 Tanoğlu, Gamze B. 1 Tong, Zhang 1 Wanner, Thomas
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### Serials

 14 Archive for Rational Mechanics and Analysis 5 Journal of Fluid Mechanics 5 Physica D 3 Journal of Mathematical Biology 3 Journal of Differential Equations 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Bulletin of the American Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Journal of Statistical Physics 2 Quarterly of Applied Mathematics 2 European Journal of Applied Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Advances in Differential Equations 2 Interfaces and Free Boundaries 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Applicable Analysis 1 IMA Journal of Applied Mathematics 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theoretical and Computational Fluid Dynamics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Asymptotic Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Journal of Dynamics and Differential Equations 1 Advances in Mathematical Sciences and Applications 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 Open Systems & Information Dynamics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Lecture Notes in Biomathematics 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

### Fields

 60 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 24 Classical thermodynamics, heat transfer (80-XX) 18 Biology and other natural sciences (92-XX) 15 Ordinary differential equations (34-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Mechanics of deformable solids (74-XX) 4 Integral equations (45-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

94 Publications have been cited 3,273 times in 2,438 Documents Cited by Year
The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035
Fife, Paul C.; McLeod, J. B.
1977
Mathematical aspects of reacting and diffusing systems. Zbl 0403.92004
Fife, Paul C.
1979
Traveling waves in a convolution model for phase transitions. Zbl 0889.45012
Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng
1997
Some nonclassical trends in parabolic and parabolic-like evolutions. Zbl 1072.35005
Fife, Paul
2003
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001
Penrose, Oliver; Fife, Paul C.
1990
Dynamics of internal layers and diffusive interfaces. Zbl 0684.35001
Fife, Paul C.
1988
Propagating fronts for competing species equations with diffusion. Zbl 0456.92019
Tang, Min Ming; Fife, Paul C.
1980
The dynamics of nucleation for the Cahn-Hilliard equation. Zbl 0788.35061
Bates, Peter W.; Fife, Paul C.
1993
Von Kármán’s equations and the buckling of a thin elastic plate. II: Plate with general edge conditions. Zbl 0162.56501
Berger, M. S.; Fife, P. C.
1968
Models for phase separation and their mathematics. Zbl 0957.35062
Fife, Paul C.
2000
Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows. Zbl 1065.76106
Wei, T.; Fife, P.; Klewicki, J.; McMurtry, P.
2005
Semilinear elliptic boundary value problems with small parameters. Zbl 0268.35007
Fife, Paul C.
1973
A phase plane discussion of convergence to travelling fronts for nonlinear diffusion. Zbl 0459.35044
Fife, Paul C.; McLeod, J. B.
1981
Boundary and interior transition layer phenomena for pairs of second- order differential equations. Zbl 0345.34044
Fife, Paul C.
1976
Spatial effects in discrete generation population models. Zbl 1080.92054
Carrillo, C.; Fife, P.
2005
Saddle solutions of the bistable diffusion equation. Zbl 0764.35048
Dang, Ha; Fife, Paul C.; Peletier, L. A.
1992
Comparison principles for reaction-diffusion systems: Irregular comparison functions and applications to questions of stability and speed of propagation of disturbances. Zbl 0431.35008
Fife, Paul C.; Tang, Min Ming
1981
Interior transition layers for elliptic boundary value problems with a small parameter. Zbl 0309.35035
Fife, P. C.; Greenlee, W. M.
1974
On the relation between the standard phase-field model and a “thermodynamically consistent” phase-field model. Zbl 0799.76084
Penrose, Oliver; Fife, Paul C.
1993
Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and time scales for coarsening. Zbl 0706.58074
Bates, Peter W.; Fife, Paul C.
1990
Asymptotic states for equations of reaction and diffusion. Zbl 0405.35044
Fife, Paul C.
1978
On the logarithmic mean profile. Zbl 1183.76766
Klewicki, J.; Fife, P.; Wei, T.
2009
Long time behavior of solutions of bistable nonlinear diffusion equations. Zbl 0435.35045
Fife, Paul C.
1979
Nonlinear diffusion in population genetics. Zbl 0361.92020
Fife, P. C.; Peletier, L. A.
1977
Solutions of parabolic boundary problems existing for all time. Zbl 0173.38204
Fife, P.
1964
The generation and propagation of internal layers. Zbl 0685.35055
Fife, Paul C.; Hsiao, Ling
1988
A convolution model for interfacial motion: The generation and propagation of internal layers in higher space dimensions. Zbl 0954.35087
Fife, Paul C.; Wang, Xuefeng
1998
A physical model of the turbulent boundary layer consonant with mean momentum balance structure. Zbl 1152.76407
Klewicki, Joe; Fife, Paul; Wei, Tie; McMurtry, Pat
2007
The Nishiura-Ohnishi free boundary problem in the 1D case. Zbl 1077.35121
Fife, Paul C.; Hilhorst, Danielle
2001
On von Kármán’s equations and the buckling of a thin elastic plate. Zbl 0146.22103
Berger, M. S.; Fife, P. C.
1966
Nonlocal models of phase transitions in solids. Zbl 0977.74044
Chen, C.-K.; Fife, P. C.
2000
Transition layers in singular perturbation problems. Zbl 0259.34067
Fife, Paul C.
1974
The existence of travelling wave solutions of a generalized phase-field model. Zbl 0867.35041
Bates, P. W.; Fife, P. C.; Gardner, R. A.; Jones, C. K. R. T.
1997
Stress gradient balance layers and scale hierarchies in wall-bounded turbulent flows. Zbl 1086.76022
Fife, P.; Wei, T.; Klewicki, J.; McMurtry, P.
2005
The approach of solutions of nonlinear diffusion equations to travelling wave solutions. Zbl 0318.35046
Fife, Paul C.; McLeod, J. B.
1975
An integrodifferential analog of semilinear parabolic PDE’s. Zbl 0846.45004
Fife, Paul C.
1996
Considerations regarding the mathematical basis for Prandtl’s boundary layer theory. Zbl 0172.53801
Fife, P. C.
1968
Existence of convective solutions of the generalized Benard problem which are analytic in their norm. Zbl 0193.56601
Fife, P. C.; Joseph, D. D.
1969
Clines induced by variable migration. Zbl 0437.92019
Fife, P. C.; Peletier, L. A.
1980
Elliptic problems involving phase boundaries satisfying a curvature condition. Zbl 0645.35101
Caginalp, G.; Fife, P. C.
1987
Non-linear deflection of thin elastic plates under tension. Zbl 0099.40802
Fife, Paul
1961
The Bénard problem for general fluid dynamical equations and remarks on the Boussinesq approximation. Zbl 0211.29302
Fife, P. C.
1970
Multiscaling in the presence of indeterminacy: wall-induced turbulence. Zbl 1108.76030
Fife, P.; Klewicki, J.; McMurtry, P.; Wei, T.
2005
Pattern formation in gradient system. Zbl 1049.35090
Fife, Paul C.
2002
Critical manifolds, travelling waves, and an example from population genetics. Zbl 0509.92014
Conley, C.; Fife, P.
1982
A free-boundary model for diffusion-induced grain boundary motion. Zbl 0986.35136
Fife, P. C.; Cahn, J. W.; Elliott, C. M.
2001
A 3-component system of competition and diffusion. Zbl 0615.92016
Mimura, Masayasu; Fife, Paul C.
1986
Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter. Zbl 0851.35059
Fife, Paul C.; Penrose, Oliver
1995
Time averaging in turbulence settings may reveal an infinite hierarchy of length scales. Zbl 1165.76020
Fife, Paul; Klewicki, Joseph; Wei, Tie
2009
Dispersion in flow through small tubes. Zbl 0321.76036
Fife, P. C.; Nicholes, K. R. K.
1975
Stationary patterns for reaction-diffusion equations. Zbl 0361.35034
Fife, P. C.
1977
Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation. Zbl 0890.35043
Fife, Paul C.; Kielhöfer, Hansjörg; Maier-Paape, Stanislaus; Wanner, Thomas
1997
Existence of heteroclinic orbits for a corner layer problem in anisotropic interfaces. Zbl 1157.34047
Sourdis, C.; Fife, P. C.
2007
Analysis of a corner layer problem in anisotropic interfaces. Zbl 1235.74011
Alikakos, N. D.; Bates, P. W.; Cahn, J. W.; Fife, P. C.; Fusco, G.; Tanoglu, G. B.
2006
On the location of defects in stationary solutions of the Ginzburg-Landau equation in $$\mathbb{R}^ 2$$. Zbl 0848.35042
Fife, P. C.; Peletier, L. A.
1996
Asymptotic analysis of reaction-diffusion wave fronts. Zbl 0372.35048
Fife, Paul C.
1977
Mean momentum balance in moderately favourable pressure gradient turbulent boundary layers. Zbl 1175.76020
Metzger, M.; Lyons, A.; Fife, P.
2008
Multiplicity and related phenomena in competing reaction flames. Zbl 0645.76073
Clavin, P.; Fife, P.; Nicolaenko, B.
1987
Phase field models for hypercooled solidification. Zbl 0890.35161
Bates, P. W.; Fife, P. C.; Gardner, R. A.; Jones, C. K. R. T.
1997
Diffusive waves in inhomogeneous media. Zbl 0701.35085
Fife, Paul C.
1989
Singularly perturbed elliptic boundary value problems. I: Poisson kernels and potential theory. Zbl 0229.35030
Fife, Paul C.
1971
Propagating waves and target patterns in chemical systems. Zbl 0438.92020
Fife, P. C.
1980
Schauder estimates under incomplete Hölder continuity assumptions. Zbl 0121.32101
Fife, Paul
1963
On scaling the mean momentum balance and its solutions in turbulent Couette–Poiseuille flow. Zbl 1133.76317
Wei, Tie; Fife, Paul; Klewicki, Joseph
2007
Singular perturbation and wave front techniques in reaction-diffusion problems. Zbl 0372.35006
Fife, Paul C.
1976
Toward the validity of Prandtl’s approximation in a boundary layer. Zbl 0134.45101
Fife, P. C.
1965
Travelling waves for a nonlocal double-obstacle problem. Zbl 0913.35092
Fife, Paul C.
1997
Growth and decay properties of solutions of second order elliptic equations. Zbl 0165.12004
Fife, P. C.
1966
Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams. Zbl 1068.35188
Fife, Paul C.; Wang, Xiao-Ping
2002
A class of pattern-forming models. Zbl 0938.35071
Fife, P. C.; Kowalczyk, M.
1999
On modelling pattern formation by activator-inhibitor systems. Zbl 0403.92005
Fife, P. C.
1977
Singular perturbation problems arising from the anisotropy of crystalline grain boundaries. Zbl 1145.34018
Alikakos, N. D.; Fife, P. C.; Fusco, G.; Sourdis, C.
2007
Analysis of the heteroclinic connection in a singularly perturbed system arising from the study of crystalline grain boundaries. Zbl 1106.35115
Alikakos, N. D.; Fife, P. C.; Fusco, G.; Sourdis, C.
2006
Scaling heat transfer in fully developed turbulent channel flow. Zbl 1188.76215
Wei, Tie; Fife, Paul; Klewicki, Joseph; McMurtry, Patrick
2005
Propagation of a combustion front in a striated solid medium: A homogenization analysis. Zbl 0803.35009
Brauner, C. M.; Fife, P. C.; Namah, G.; Schmidt-Lainé, C.
1993
Clines and material interfaces with nonlocal interaction. Zbl 0886.35157
Fife, P. C.
1996
Electrophoretic traveling waves. Zbl 0718.34083
Fife, P. C.; Palusinski, O. A.; Su, Y.
1988
Well-posedness issues for models of phase transitions with weak interaction. Zbl 1011.74053
Fife, Paul C.
2001
Propagating fronts in reactive media. Zbl 0511.35048
Fife, Paul C.
1982
The generation of a boundary layer in hydrodynamics. Zbl 0149.44803
Fife, Paul C.
1966
On thermodynamically consistent schemes for phase field equations. Zbl 0907.60090
Charach, C.; Fife, P. C.
1998
Singular perturbation problems whose degenerate forms have many solutions. Zbl 0225.35015
Fife, Paul C.
1972
Asymptotic expansions of solutions of quasi-linear elliptic equations with small parameter. Zbl 0304.35006
Tang, Min Ming; Fife, Paul C.
1975
Wave-fronts and target patterns. Zbl 0508.76102
Fife, Paul C.
1981
Dynamical issues in combustion theory. Proceedings of a workshop, held in November 1989, in Minneapolis, MN, USA. Zbl 0742.00074
1991
Asymptotic flame theory with complex chemistry. Zbl 0515.92030
Fife, Paul C.; Nicolaenko, Basil
1983
Corrigendum. Zbl 0535.35003
Fife, Paul C.; Tang, Min Ming
1984
Mathematical aspects of electrophoresis. Zbl 0726.35129
Fife, Paul C.; Geng, Xiao
1990
Motion by curvature in generalized Cahn-Allen models. Zbl 0844.35042
Fife, Paul C.; Lacey, Andrew A.
1994
Periodic structures in a van der Waals fluid. Zbl 0906.35073
Fife, Paul C.; Wang, Xiao-Ping
1998
Solidification fronts and solute trapping in a binary alloy. Zbl 0930.76096
Charach, Chaim; Fife, Paul C.
1998
Elliptic theorems with layers representing phase interfaces. Zbl 0657.35060
Caginalp, G.; Fife, P. C.
1987
Comment on G. Caginalp’s paper “Penrose-Fife modification of solidification equations has no freezing or melting”. Zbl 0774.35035
Penrose, O.; Fife, P. C.
1992
The unbounded growth of solutions of linear parabolic differential equations. Zbl 0156.33402
Besala, P.; Fife, P.
1966
On the logarithmic mean profile. Zbl 1183.76766
Klewicki, J.; Fife, P.; Wei, T.
2009
Time averaging in turbulence settings may reveal an infinite hierarchy of length scales. Zbl 1165.76020
Fife, Paul; Klewicki, Joseph; Wei, Tie
2009
Mean momentum balance in moderately favourable pressure gradient turbulent boundary layers. Zbl 1175.76020
Metzger, M.; Lyons, A.; Fife, P.
2008
A physical model of the turbulent boundary layer consonant with mean momentum balance structure. Zbl 1152.76407
Klewicki, Joe; Fife, Paul; Wei, Tie; McMurtry, Pat
2007
Existence of heteroclinic orbits for a corner layer problem in anisotropic interfaces. Zbl 1157.34047
Sourdis, C.; Fife, P. C.
2007
On scaling the mean momentum balance and its solutions in turbulent Couette–Poiseuille flow. Zbl 1133.76317
Wei, Tie; Fife, Paul; Klewicki, Joseph
2007
Singular perturbation problems arising from the anisotropy of crystalline grain boundaries. Zbl 1145.34018
Alikakos, N. D.; Fife, P. C.; Fusco, G.; Sourdis, C.
2007
Analysis of a corner layer problem in anisotropic interfaces. Zbl 1235.74011
Alikakos, N. D.; Bates, P. W.; Cahn, J. W.; Fife, P. C.; Fusco, G.; Tanoglu, G. B.
2006
Analysis of the heteroclinic connection in a singularly perturbed system arising from the study of crystalline grain boundaries. Zbl 1106.35115
Alikakos, N. D.; Fife, P. C.; Fusco, G.; Sourdis, C.
2006
Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows. Zbl 1065.76106
Wei, T.; Fife, P.; Klewicki, J.; McMurtry, P.
2005
Spatial effects in discrete generation population models. Zbl 1080.92054
Carrillo, C.; Fife, P.
2005
Stress gradient balance layers and scale hierarchies in wall-bounded turbulent flows. Zbl 1086.76022
Fife, P.; Wei, T.; Klewicki, J.; McMurtry, P.
2005
Multiscaling in the presence of indeterminacy: wall-induced turbulence. Zbl 1108.76030
Fife, P.; Klewicki, J.; McMurtry, P.; Wei, T.
2005
Scaling heat transfer in fully developed turbulent channel flow. Zbl 1188.76215
Wei, Tie; Fife, Paul; Klewicki, Joseph; McMurtry, Patrick
2005
Some nonclassical trends in parabolic and parabolic-like evolutions. Zbl 1072.35005
Fife, Paul
2003
Pattern formation in gradient system. Zbl 1049.35090
Fife, Paul C.
2002
Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams. Zbl 1068.35188
Fife, Paul C.; Wang, Xiao-Ping
2002
The Nishiura-Ohnishi free boundary problem in the 1D case. Zbl 1077.35121
Fife, Paul C.; Hilhorst, Danielle
2001
A free-boundary model for diffusion-induced grain boundary motion. Zbl 0986.35136
Fife, P. C.; Cahn, J. W.; Elliott, C. M.
2001
Well-posedness issues for models of phase transitions with weak interaction. Zbl 1011.74053
Fife, Paul C.
2001
Models for phase separation and their mathematics. Zbl 0957.35062
Fife, Paul C.
2000
Nonlocal models of phase transitions in solids. Zbl 0977.74044
Chen, C.-K.; Fife, P. C.
2000
A class of pattern-forming models. Zbl 0938.35071
Fife, P. C.; Kowalczyk, M.
1999
A convolution model for interfacial motion: The generation and propagation of internal layers in higher space dimensions. Zbl 0954.35087
Fife, Paul C.; Wang, Xuefeng
1998
On thermodynamically consistent schemes for phase field equations. Zbl 0907.60090
Charach, C.; Fife, P. C.
1998
Periodic structures in a van der Waals fluid. Zbl 0906.35073
Fife, Paul C.; Wang, Xiao-Ping
1998
Solidification fronts and solute trapping in a binary alloy. Zbl 0930.76096
Charach, Chaim; Fife, Paul C.
1998
Traveling waves in a convolution model for phase transitions. Zbl 0889.45012
Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng
1997
The existence of travelling wave solutions of a generalized phase-field model. Zbl 0867.35041
Bates, P. W.; Fife, P. C.; Gardner, R. A.; Jones, C. K. R. T.
1997
Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation. Zbl 0890.35043
Fife, Paul C.; Kielhöfer, Hansjörg; Maier-Paape, Stanislaus; Wanner, Thomas
1997
Phase field models for hypercooled solidification. Zbl 0890.35161
Bates, P. W.; Fife, P. C.; Gardner, R. A.; Jones, C. K. R. T.
1997
Travelling waves for a nonlocal double-obstacle problem. Zbl 0913.35092
Fife, Paul C.
1997
An integrodifferential analog of semilinear parabolic PDE’s. Zbl 0846.45004
Fife, Paul C.
1996
On the location of defects in stationary solutions of the Ginzburg-Landau equation in $$\mathbb{R}^ 2$$. Zbl 0848.35042
Fife, P. C.; Peletier, L. A.
1996
Clines and material interfaces with nonlocal interaction. Zbl 0886.35157
Fife, P. C.
1996
Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter. Zbl 0851.35059
Fife, Paul C.; Penrose, Oliver
1995
Motion by curvature in generalized Cahn-Allen models. Zbl 0844.35042
Fife, Paul C.; Lacey, Andrew A.
1994
The dynamics of nucleation for the Cahn-Hilliard equation. Zbl 0788.35061
Bates, Peter W.; Fife, Paul C.
1993
On the relation between the standard phase-field model and a “thermodynamically consistent” phase-field model. Zbl 0799.76084
Penrose, Oliver; Fife, Paul C.
1993
Propagation of a combustion front in a striated solid medium: A homogenization analysis. Zbl 0803.35009
Brauner, C. M.; Fife, P. C.; Namah, G.; Schmidt-Lainé, C.
1993
Saddle solutions of the bistable diffusion equation. Zbl 0764.35048
Dang, Ha; Fife, Paul C.; Peletier, L. A.
1992
Comment on G. Caginalp’s paper “Penrose-Fife modification of solidification equations has no freezing or melting”. Zbl 0774.35035
Penrose, O.; Fife, P. C.
1992
Dynamical issues in combustion theory. Proceedings of a workshop, held in November 1989, in Minneapolis, MN, USA. Zbl 0742.00074
1991
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001
Penrose, Oliver; Fife, Paul C.
1990
Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and time scales for coarsening. Zbl 0706.58074
Bates, Peter W.; Fife, Paul C.
1990
Mathematical aspects of electrophoresis. Zbl 0726.35129
Fife, Paul C.; Geng, Xiao
1990
Diffusive waves in inhomogeneous media. Zbl 0701.35085
Fife, Paul C.
1989
Dynamics of internal layers and diffusive interfaces. Zbl 0684.35001
Fife, Paul C.
1988
The generation and propagation of internal layers. Zbl 0685.35055
Fife, Paul C.; Hsiao, Ling
1988
Electrophoretic traveling waves. Zbl 0718.34083
Fife, P. C.; Palusinski, O. A.; Su, Y.
1988
Elliptic problems involving phase boundaries satisfying a curvature condition. Zbl 0645.35101
Caginalp, G.; Fife, P. C.
1987
Multiplicity and related phenomena in competing reaction flames. Zbl 0645.76073
Clavin, P.; Fife, P.; Nicolaenko, B.
1987
Elliptic theorems with layers representing phase interfaces. Zbl 0657.35060
Caginalp, G.; Fife, P. C.
1987
A 3-component system of competition and diffusion. Zbl 0615.92016
Mimura, Masayasu; Fife, Paul C.
1986
Corrigendum. Zbl 0535.35003
Fife, Paul C.; Tang, Min Ming
1984
Asymptotic flame theory with complex chemistry. Zbl 0515.92030
Fife, Paul C.; Nicolaenko, Basil
1983
Critical manifolds, travelling waves, and an example from population genetics. Zbl 0509.92014
Conley, C.; Fife, P.
1982
Propagating fronts in reactive media. Zbl 0511.35048
Fife, Paul C.
1982
A phase plane discussion of convergence to travelling fronts for nonlinear diffusion. Zbl 0459.35044
Fife, Paul C.; McLeod, J. B.
1981
Comparison principles for reaction-diffusion systems: Irregular comparison functions and applications to questions of stability and speed of propagation of disturbances. Zbl 0431.35008
Fife, Paul C.; Tang, Min Ming
1981
Wave-fronts and target patterns. Zbl 0508.76102
Fife, Paul C.
1981
Propagating fronts for competing species equations with diffusion. Zbl 0456.92019
Tang, Min Ming; Fife, Paul C.
1980
Clines induced by variable migration. Zbl 0437.92019
Fife, P. C.; Peletier, L. A.
1980
Propagating waves and target patterns in chemical systems. Zbl 0438.92020
Fife, P. C.
1980
Mathematical aspects of reacting and diffusing systems. Zbl 0403.92004
Fife, Paul C.
1979
Long time behavior of solutions of bistable nonlinear diffusion equations. Zbl 0435.35045
Fife, Paul C.
1979
Asymptotic states for equations of reaction and diffusion. Zbl 0405.35044
Fife, Paul C.
1978
The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035
Fife, Paul C.; McLeod, J. B.
1977
Nonlinear diffusion in population genetics. Zbl 0361.92020
Fife, P. C.; Peletier, L. A.
1977
Stationary patterns for reaction-diffusion equations. Zbl 0361.35034
Fife, P. C.
1977
Asymptotic analysis of reaction-diffusion wave fronts. Zbl 0372.35048
Fife, Paul C.
1977
On modelling pattern formation by activator-inhibitor systems. Zbl 0403.92005
Fife, P. C.
1977
Boundary and interior transition layer phenomena for pairs of second- order differential equations. Zbl 0345.34044
Fife, Paul C.
1976
Singular perturbation and wave front techniques in reaction-diffusion problems. Zbl 0372.35006
Fife, Paul C.
1976
The approach of solutions of nonlinear diffusion equations to travelling wave solutions. Zbl 0318.35046
Fife, Paul C.; McLeod, J. B.
1975
Dispersion in flow through small tubes. Zbl 0321.76036
Fife, P. C.; Nicholes, K. R. K.
1975
Asymptotic expansions of solutions of quasi-linear elliptic equations with small parameter. Zbl 0304.35006
Tang, Min Ming; Fife, Paul C.
1975
Interior transition layers for elliptic boundary value problems with a small parameter. Zbl 0309.35035
Fife, P. C.; Greenlee, W. M.
1974
Transition layers in singular perturbation problems. Zbl 0259.34067
Fife, Paul C.
1974
Semilinear elliptic boundary value problems with small parameters. Zbl 0268.35007
Fife, Paul C.
1973
Singular perturbation problems whose degenerate forms have many solutions. Zbl 0225.35015
Fife, Paul C.
1972
Singularly perturbed elliptic boundary value problems. I: Poisson kernels and potential theory. Zbl 0229.35030
Fife, Paul C.
1971
The Bénard problem for general fluid dynamical equations and remarks on the Boussinesq approximation. Zbl 0211.29302
Fife, P. C.
1970
Existence of convective solutions of the generalized Benard problem which are analytic in their norm. Zbl 0193.56601
Fife, P. C.; Joseph, D. D.
1969
Von Kármán’s equations and the buckling of a thin elastic plate. II: Plate with general edge conditions. Zbl 0162.56501
Berger, M. S.; Fife, P. C.
1968
Considerations regarding the mathematical basis for Prandtl’s boundary layer theory. Zbl 0172.53801
Fife, P. C.
1968
On von Kármán’s equations and the buckling of a thin elastic plate. Zbl 0146.22103
Berger, M. S.; Fife, P. C.
1966
Growth and decay properties of solutions of second order elliptic equations. Zbl 0165.12004
Fife, P. C.
1966
The generation of a boundary layer in hydrodynamics. Zbl 0149.44803
Fife, Paul C.
1966
The unbounded growth of solutions of linear parabolic differential equations. Zbl 0156.33402
Besala, P.; Fife, P.
1966
Toward the validity of Prandtl’s approximation in a boundary layer. Zbl 0134.45101
Fife, P. C.
1965
Solutions of parabolic boundary problems existing for all time. Zbl 0173.38204
Fife, P.
1964
Schauder estimates under incomplete Hölder continuity assumptions. Zbl 0121.32101
Fife, Paul
1963
Non-linear deflection of thin elastic plates under tension. Zbl 0099.40802
Fife, Paul
1961
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### Cited by 2,578 Authors

 65 Li, Wan-Tong 41 Hamel, François 31 Shen, Wenxian 30 Rossi, Julio Daniel 28 Chen, Xinfu 28 Fife, Paul C. 26 Lin, Guo 26 Wei, Juncheng 24 Wang, Zhi Cheng 23 Guo, Jong-Shenq 22 Bates, Peter W. 22 Ruan, Shigui 19 Klewicki, Joseph C. 18 Zhang, Guobao 17 Coville, Jerome 17 Matano, Hiroshi 16 Berestycki, Henri 16 Poláčik, Peter 16 Sun, Jianwen 16 Yang, Feiying 15 Kowalczyk, Michał 15 Ren, Xiaofeng 15 Rocca, Elisabetta 14 Colli, Pierluigi 14 Hupkes, Hermen Jan 14 Pan, Shuxia 14 Yuan, Rong 13 Marusic, Ivan 13 Nefedov, Nikolaĭ Nikolaevich 13 Schimperna, Giulio 12 Lou, Bendong 12 Nishiura, Yasumasa 12 Roquejoffre, Jean-Michel 12 Wu, Shiliang 12 Yu, Zhixian 11 Giletti, Thomas 11 Nagylaki, Thomas 11 Roques, Lionel J. 11 Sprekels, Jürgen 11 Weng, Peixuan 11 Wolanski, Noemi I. 10 Cortázar, Carmen 10 Du, Qiang 10 Ou, Chunhua 10 Scheel, Arnd 10 Xu, Zhaoquan 10 Zhao, Xiao-Qiang 9 Alfaro, Matthieu 9 Alikakos, Nicholas D. 9 Du, Yihong 9 Ducrot, Arnaud 9 Elgueta, Manuel 9 Fusco, Giorgio 9 Guo, Hongjun 9 Liu, Yong 9 Mimura, Masayasu 9 Morita, Yoshihisa 9 Muratov, Cyrill B. 9 Peletier, Lambertus Adrianus 9 Qi, Yuanwei 9 Sheng, WeiJie 9 Tsai, Je-Chiang 9 Wang, Zhi Cheng 9 Wanner, Thomas 9 Wu, Changhong 9 Wu, Chin-Chin 8 D’Elia, Marta 8 Ei, Shin-Ichiro 8 Gunzburger, Max D. 8 Howes, Frederick A. 8 Kopteva, Natalia Viktorovna 8 Moroşanu, Costică 8 Ninomiya, Hirokazu 8 Pao, Chia-Ven 8 Quirós Gracián, Fernando 8 Sourdis, Christos 8 Wang, Jiabing 8 Wang, Yifu 8 White, Christopher M. 8 Witelski, Thomas P. 8 Zhang, Li 7 Bhowmik, Samir Kumar 7 Bogoya, Mauricio 7 Bu, Zhenhui 7 Cheng, Hongmei 7 Chmaj, Adam J. J. 7 Giorgi, Claudio 7 Gómez, Héctor J. 7 Gui, Changfeng 7 Guo, Shangjiang 7 Hsu, Cheng-Hsiung 7 Jones, Christopher K. R. T. 7 Knightly, George H. 7 Lin, Xiaobiao 7 Lui, Roger 7 Maini, Philip Kumar 7 McLeod, John Bryce 7 Miranville, Alain M. 7 Mischaikow, Konstantin 7 Nataraj, Neela ...and 2,478 more Authors
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### Cited in 317 Serials

 234 Journal of Differential Equations 113 Journal of Mathematical Analysis and Applications 86 Physica D 82 Journal of Fluid Mechanics 70 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 65 Archive for Rational Mechanics and Analysis 63 Journal of Mathematical Biology 58 Journal of Dynamics and Differential Equations 56 Nonlinear Analysis. Theory, Methods & Applications 55 Discrete and Continuous Dynamical Systems 47 Nonlinear Analysis. Real World Applications 39 Discrete and Continuous Dynamical Systems. Series B 36 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 34 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 34 Calculus of Variations and Partial Differential Equations 30 Journal of Computational Physics 30 Transactions of the American Mathematical Society 29 Applied Mathematics and Computation 29 Applied Mathematics Letters 27 Communications in Partial Differential Equations 26 SIAM Journal on Mathematical Analysis 24 Bulletin of Mathematical Biology 23 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Nonlinearity 22 Japan Journal of Industrial and Applied Mathematics 21 Computers & Mathematics with Applications 20 Applicable Analysis 19 Annali di Matematica Pura ed Applicata. Serie Quarta 19 Proceedings of the American Mathematical Society 17 Mathematical Biosciences 17 Journal of Functional Analysis 17 Applied Mathematics and Mechanics. (English Edition) 16 Theoretical Population Biology 15 Mathematical Methods in the Applied Sciences 14 European Journal of Applied Mathematics 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Discrete and Continuous Dynamical Systems. Series S 13 Abstract and Applied Analysis 13 Communications on Pure and Applied Analysis 12 Computer Methods in Applied Mechanics and Engineering 12 Journal of Statistical Physics 12 Journal of Computational and Applied Mathematics 12 Boundary Value Problems 11 Applied Numerical Mathematics 11 SIAM Journal on Applied Mathematics 11 NoDEA. Nonlinear Differential Equations and Applications 11 SIAM Journal on Applied Dynamical Systems 11 International Journal of Biomathematics 10 Rocky Mountain Journal of Mathematics 10 SIAM Journal on Numerical Analysis 10 Journal of Nonlinear Science 9 Communications on Pure and Applied Mathematics 9 Advances in Mathematics 9 Mathematische Annalen 9 Mathematische Nachrichten 9 Studies in Applied Mathematics 9 Japan Journal of Applied Mathematics 9 Communications in Nonlinear Science and Numerical Simulation 9 Differential Equations 9 Science China. Mathematics 8 Mathematics of Computation 8 Aplikace Matematiky 8 Applied Mathematics and Optimization 8 Numerische Mathematik 8 Probability Theory and Related Fields 8 Mathematical and Computer Modelling 8 Mathematical Biosciences and Engineering 7 Communications in Mathematical Physics 7 Numerical Methods for Partial Differential Equations 7 Journal of Scientific Computing 7 Applied Mathematical Modelling 7 Journal of the European Mathematical Society (JEMS) 6 Acta Mathematicae Applicatae Sinica. English Series 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Continuum Mechanics and Thermodynamics 6 Journal of Evolution Equations 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Journal of Mathematical Physics 5 Mathematical Notes 5 Physica A 5 Physics Letters. A 5 Chaos, Solitons and Fractals 5 Applications of Mathematics 5 Stochastic Processes and their Applications 5 Bulletin of the American Mathematical Society. New Series 5 Journal of Mathematical Sciences (New York) 5 Electronic Journal of Differential Equations (EJDE) 5 Journal of Difference Equations and Applications 5 Mathematical Problems in Engineering 5 Interfaces and Free Boundaries 5 Acta Mathematica Sinica. English Series 5 Communications in Contemporary Mathematics 5 Archives of Computational Methods in Engineering 5 Networks and Heterogeneous Media 5 Mathematical Modelling of Natural Phenomena 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Computers and Fluids 4 Manuscripta Mathematica ...and 217 more Serials
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### Cited in 45 Fields

 1,789 Partial differential equations (35-XX) 605 Biology and other natural sciences (92-XX) 278 Ordinary differential equations (34-XX) 248 Fluid mechanics (76-XX) 211 Numerical analysis (65-XX) 168 Integral equations (45-XX) 159 Mechanics of deformable solids (74-XX) 152 Classical thermodynamics, heat transfer (80-XX) 147 Dynamical systems and ergodic theory (37-XX) 137 Statistical mechanics, structure of matter (82-XX) 117 Operator theory (47-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 65 Global analysis, analysis on manifolds (58-XX) 62 Probability theory and stochastic processes (60-XX) 31 Difference and functional equations (39-XX) 26 Differential geometry (53-XX) 19 Functional analysis (46-XX) 18 Systems theory; control (93-XX) 12 Optics, electromagnetic theory (78-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Real functions (26-XX) 7 Computer science (68-XX) 7 Quantum theory (81-XX) 7 Information and communication theory, circuits (94-XX) 6 Operations research, mathematical programming (90-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geophysics (86-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX)