Walter Craig | Academic Influence

Walter Craig 's AcademicInfluence.com Rankings

Walter Craig

Mathematics

#7701

World Rank

#10450

Historical Rank

Applied Mathematics

#422

World Rank

#452

Historical Rank

Measure Theory

#3058

World Rank

#3627

Historical Rank

mathematics Degrees

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Mathematics

Walter Craig 's Degrees

PhD Mathematics Princeton University
Masters Mathematics University of British Columbia
Bachelors Mathematics University of British Columbia

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Why Is Walter Craig Influential?

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According to Wikipedia, Walter L. Craig was a Canadian mathematician and a Canada Research Chair in Mathematical Analysis and Applications at McMaster University. Personal life Craig was born in State College, Pennsylvania in 1953. His father, a professor at Pennsylvania State University transferred to University of California, Berkeley, which is where Craig and his siblings were raised starting in 1959.

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Walter Craig '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

Numerical simulation of gravity waves (1993) (573)
Newton's method and periodic solutions of nonlinear wave equations (1993) (454)
An existence theory for water waves and the boussinesq and korteweg-devries scaling limits (1985) (381)
Hamiltonian long‐wave expansions for free surfaces and interfaces (2005) (235)
Hamiltonian long-wave approximations to the water-wave problem (1994) (194)
Nonlinear modulation of gravity waves: a rigorous approach (1992) (184)
Traveling Two and Three Dimensional Capillary Gravity Water Waves (2000) (170)
Solitary water wave interactions (2006) (159)
Microlocal dispersive smoothing for the Schrödinger equation (1995) (149)
The modulational regime of three-dimensional water waves and the Davey-Stewartson system (1997) (140)
Photoacoustic point source. (2001) (135)
Hamiltonian long–wave expansions for water waves over a rough bottom (2005) (127)
Subharmonicity of the Lyaponov index (1983) (126)
Log hölder continuity of the integrated density of states for stochastic Jacobi matrices (1983) (114)
Symmetry of solitary waves (1988) (109)
Gain of regularity for equations of KdV type (1992) (107)
Traveling gravity water waves in two and three dimensions (2002) (89)
The trace formula for Schrödinger operators on the line (1989) (88)
An integrable normal form for water waves in infinite depth (1995) (76)
Global Wellposedness for the 3D Inhomogeneous Incompressible Navier–Stokes Equations (2013) (66)
Non–existence of solitary water waves in three dimensions (2002) (64)
Coupling between internal and surface waves (2011) (55)
A Hamiltonian approach to nonlinear modulation of surface water waves (2010) (52)
On determinism and well-posedness in multiple time dimensions (2008) (48)
Linear dispersive equations of Airy type (1990) (46)
Pure point spectrum for discrete almost periodic Schrödinger operators (1983) (45)
Normal forms for wave motion in fluid interfaces (2000) (43)
Periodic Solutions of Nonlinear Schrödinger Equations and the Nash-Moser Method (1994) (39)
Surface Water Waves and Tsunamis (2006) (38)
Reheating in the presence of noise (1997) (37)
The surface signature of internal waves (2012) (36)
Water waves over a random bottom (2009) (33)
A new model for large amplitude long internal waves (2004) (29)
Long wave expansions for water waves over random topography (2007) (28)
Mapping properties of normal forms transformations for water waves (2016) (26)
Reheating in the presence of inhomogeneous noise (1999) (26)
Hamiltonian dynamical systems and applications (2008) (23)
Nonstrictly hyperbolic nonlinear systems (1987) (22)
Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water (2012) (22)
Construction of suitable weak solutions of the Navier-Stokes equations (2006) (20)
Symmetry of free-surface flows (1992) (20)
Mathematical aspects of surface water waves (2007) (19)
Water waves over a rough bottom in the shallow water regime (2011) (17)
Water Waves, Hamiltonian Systems and Cauchy Integrals (1991) (16)
Normal Form Transformations for Capillary-Gravity Water Waves (2015) (14)
On the initial value problem for the wave equation in Friedmann–Robertson–Walker space–times (2014) (13)
Towards a new proof of Anderson localization (2008) (12)
Normal Form Transformations and Dysthe’s Equation for the Nonlinear Modulation of Deep-Water Gravity Waves (2020) (12)
Large coupling behaviour of the Lyapunov exponent for tight binding one-dimensional random systems (1983) (11)
On the regularity of the Neumann problem for free surfaces with surface tension (2007) (11)
Thermal diffusion shock waves. (2005) (11)
On the Hamiltonian for water waves (2016) (11)
A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations (1983) (10)
Nonlinear Waves and the 1:1:2 Resonance (1994) (10)
Transformation theory of Hamiltonian PDE and the problem of water waves (2008) (9)
Infinite Gain of Regularity for Dispersive Evolution Equations (1991) (9)
On the size of the Navier - Stokes singular set (2010) (9)
Standing Waves in Near-Parallel Vortex Filaments (2014) (9)
Thermal diffusion in a sinusoidal temperature field. (2004) (9)
Nonlinear waves and the KAM theorem: Nonlinear degeneracies (1991) (8)
Strong solutions of the Boltzmann equation in one spatial dimension (2006) (8)
Bounds on Kolmogorov spectra for the Navier–Stokes equations (2008) (8)
Bloch Theory and Spectral Gaps for Linearized Water Waves (2017) (7)
Internal waves coupled to surface gravity waves in three dimensions (2015) (7)
On the Badulin, Kharif and Shrira model of resonant water waves (2001) (7)
Comparison principles for free-surface flows with gravity (1991) (7)
A Course on Partial Differential Equations (2018) (6)
The wave equation in Friedmann-Robertson-Walker space-times and asymptotics of the intensity and distance relationship of a localised source (2018) (6)
Asymptotics of surface waves over random bathymetry (2009) (5)
Stable three-dimensional waves of nearly permanent form on deep water (2007) (5)
A bifurcation theory for periodic dissipative wave equations (1981) (3)
Laser Induced Thermal Diffusion Shock Waves (2008) (3)
Mathematical analysis of thermal diffusion shock waves. (2005) (3)
Information and Phylogenetic Systematic Analysis (2015) (2)
The Water Wave Problem and Hamiltonian Transformation Theory (2021) (2)
Hamiltonian Formulation For Water Waves Over a Variable Bottom: Asymptotic Models And Numerical Simulations (2009) (2)
Standing waves of fixed period for $n+1$ vortex filaments (2019) (2)
Solutions of Nonlinear Wave Equations and Localization Theory (1992) (2)
The Trace Formula for Schrδdinger Operators on the Line (2004) (1)
Application of wave packet transform to Schrodinger equations (Harmonic Analysis and Nonlinear Partial Differential Equations) (2018) (1)
The Photoacoustic Effect Generated by Heat Diffusion (2002) (1)
The Lyapounov index, the density of states and their regularity for general stochastic potentials (1986) (1)
On the initial value problem for the electromagnetic wave equation in Friedmann-Robertson-Walker space-times (2019) (1)
Contemporary Mathematics Construction of suitable weak solutions of the Navier-Stokes equations (2006) (1)
Standing Waves of Fixed Period for $$n+1$$n+1 Vortex Filaments (2020) (1)
Modulated waves on a vortex filament beneath a fluid surface (1995) (1)
Trace formulae and singular spectra for the Schrödinger operator (1989) (0)
Towards a new proof of Anderson localization (2012) (0)
On the microlocal regularity of the Schrödinger kernel (1997) (0)
Sterling decimal coinage : a colonial plea for modernizing our money : with some new ideas in respect to the florin scheme and the crown scheme; and a criticism of the diciman coinage bill (1918) (0)
Hamiltonian Formulation f or Water Waves o ver a Variable Bottom : Asymptotic Models and Numerical Simulations (2009) (0)
Steady waves in flows over periodic bottoms (2019) (0)
Normal Form Transformations and Dysthe’s Equation for the Nonlinear Modulation of Deep-Water Gravity Waves (2020) (0)
Hamiltonia nFormulatio nfo rWate rWave sove r aVariabl eBottom: Asymptoti cModel san dNumerica lSimulations (2009) (0)
O ct 2 01 9 On the initial value problem for the electromagnetic wave equation in Friedmann-Robertson-Walker spacetimes (0)
Sergei Borisovich Kuksin (2016) (0)
Dynamical Systems & Nonlinear Partial Differential Equations. (1996) (0)
Mapping properties of normal forms transformations for water waves (2016) (0)
Thermal di ff usion shock waves (2004) (0)
Construction of a periodic standing wave for n corotating vortex filaments arising from a central configuration (2014) (0)
Birkhoff normal form for the nonlinear Schrödinger equation (2013) (0)
The Mathematics of Thermal Di ff usion Shocks (2004) (0)
ul 2 00 8 Bounds on Kolmogorov spectra for the Navier – Stokes equations (0)
There are many other works on local well posedness : we mention the work of (2009) (0)
C. Plumpton and W. A. Tomkys, Sixth Form Pure Mathematics , Vol. I (Pergamon Press, 1962), X+480 pp., 21s. (1962) (0)
Global Wellposedness for the 3D Inhomogeneous Incompressible Navier–Stokes Equations (2013) (0)
L Estimates for Conservation Laws with Hyperviscous Parabolic Terms (2000) (0)
E. A. Maxwell, Fallacies in Mathematics, (Cambridge University Press 1955), 95 pp., 13s. 6d. (1959) (0)
Hamiltonian Modulation Theory for Water Waves on Arbitrary Depth (2011) (0)
Workshop on Mathematical Hydrodynamics (2007) (0)
Standing Waves in Near-Parallel Vortex Filaments (2016) (0)
HAMILTONIAN FORMULATION AND LONG WAVE MODELS FOR INTERNAL WAVES (2007) (0)
Floquet exponents for Jacobi fields (1991) (0)
Invariant tori for Hamiltonian PDE (2004) (0)
Singularities of Schrödinger’s equation and recurrent bicharacteristic flow (1997) (0)

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