Clarence Eugene Wayne

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Walter CraigMathematics, McMaster UniversityVerified email at math.mcmaster.ca
Thierry GallayProfesseur de mathématiques, université Grenoble AlpesVerified email at univ-grenoble-alpes.fr
Margaret BeckProfessor of Mathematics, Boston UniversityVerified email at bu.edu
Goong ChenProfessor of Mathematics Department, Texas A&M UniversityVerified email at math.tamu.edu
Steven KrantzProfessor of Mathematics, Washington UniversityVerified email at math.wustl.edu
Aaron HoffmanOlin CollegeVerified email at olin.edu
Rafael de la LlaveProfessor of Mathematics, Georgia Institute of TechnologyVerified email at math.gatech.edu
Jürg FröhlichProfessor of Theoretical Physics emeritus, ETH ZurichVerified email at phys.ethz.ch
claude-alain pilletprofesseur de mathématiques, Centre de Physique Théorique, Université de ToulonVerified email at univ-tln.fr
boris shraimanSusan F Gurley Professor of Theoretical Physics and Biology, KITP, UCSBVerified email at kitp.ucsb.edu
David UminskyUniversity of ChicagoVerified email at uchicago.edu
Russell Kenneth JacksonHussman Strategic AdvisorsVerified email at hussmanfunds.com
David PintoVerified email at sjncenter.org
Mark A KramerBoston UniversityVerified email at bu.edu
Laura Rocio Gonzalez-RamirezUPIIH-IPNVerified email at ipn.mx
Sydney S. CashAssociate Professor, Department of Neurology, Massachusetts General Hospital and Harvard UniversityVerified email at mgh.harvard.edu
Osman ChaudharyBoston UniversityVerified email at bu.edu
Keith PromislowProfessor of Mathematics and Chair, Michigan State UniversityVerified email at math.msu.edu
Lee DeVilleMathematics, University of IllinoisVerified email at illinois.edu
Raymond NagemBoston UniversityVerified email at bu.edu

Clarence Eugene Wayne

Professor of Mathematics, Boston University

Verified email at math.bu.edu

Dynamical Systems Partial Differential Equations


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Newton's method and periodic solutions of nonlinear wave equations W Craig, CE Wayne Communications on Pure and Applied Mathematics 46 (11), 1409-1498, 1993	585	1993
Propagation of ultra-short optical pulses in cubic nonlinear media T Schäfer, CE Wayne Physica D: Nonlinear Phenomena 196 (1-2), 90-105, 2004	540	2004
Propagation of ultra-short optical pulses in cubic nonlinear media T Schäfer, CE Wayne Physica D: Nonlinear Phenomena 196 (1-2), 90-105, 2004	540	2004
Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory CE Wayne Communications in Mathematical Physics 127 (3), 479-528, 1990	528	1990
Scaling theory for noisy period-doubling transitions to chaos B Shraiman, CE Wayne, PC Martin Physical Review Letters 46 (14), 935, 1981	265	1981
Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on R2 T Gallay, CE Wayne Archive for Rational Mechanics and Analysis 163, 209-258, 2002	253	2002
The long‐wave limit for the water wave problem I. The case of zero surface tension G Schneider, CE Wayne Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2000	242	2000
Global stability of vortex solutions of the two-dimensional Navier-Stokes equation T Gallay, CE Wayne Communications in mathematical physics 255, 97-129, 2005	239	2005
Ultra-short pulses in linear and nonlinear media Y Chung, C Jones, T Schäfer, CE Wayne Nonlinearity 18 (3), 1351, 2005	225	2005
The Euler-Bernoulli beam equation with boundary energy dissipation G Chen, SG Krantz, DW Ma, CE Wayne, HH West Operator methods for optimal control problems 108, 67-96, 1987	201	1987
Localization in disordered, nonlinear dynamical systems J Fröhlich, T Spencer, CE Wayne Journal of statistical physics 42, 247-274, 1986	190	1986
Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations CA Pillet, CE Wayne Journal of differential equations 141 (2), 310-326, 1997	164	1997
Counter-propagating waves on fluid surfaces and the continuum limit of the Fermi-Pasta-Ulam model G Schneider, CE Wayne Equadiff 99: (In 2 Volumes), 390-404, 2000	127	2000
The rigorous approximation of long-wavelength capillary-gravity waves G Schneider, CE Wayne Archive for rational mechanics and analysis 162, 247-285, 2002	121	2002
Analysis, designs, and behavior of dissipative joints for coupled beams G Chen, SG Krantz, DL Russell, CE Wayne, HH West, MP Coleman SIAM Journal on Applied Mathematics 49 (6), 1665-1693, 1989	106	1989
Kawahara dynamics in dispersive media G Schneider, CE Wayne Physica D: Nonlinear Phenomena 152, 384-394, 2001	98	2001
Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations M Beck, CE Wayne Proceedings of the Royal Society of Edinburgh Section A: Mathematics 143 (5 …, 2013	95	2013
Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations M Beck, CE Wayne Proceedings of the Royal Society of Edinburgh Section A: Mathematics 143 (5 …, 2013	93	2013
Invariant manifolds for parabolic partial differential equations on unbounded domains CE Wayne Archive for Rational Mechanics and Analysis 138 (3), 279-306, 1997	93	1997
Propagating fronts and the center manifold theorem JP Eckmann, CE Wayne Communications in mathematical physics 136, 285-307, 1991	81	1991

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