Clarence Eugene Wayne

Cited by

	All	Since 2018
Citations	5559	1433
h-index	35	17
i10-index	71	27

320

160

240

198419851986198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013201420152016201720182019202020212022202322 17 22 32 22 30 31 37 42 35 59 48 59 56 84 92 81 117 125 132 104 166 197 188 218 193 183 236 217 215 227 246 227 241 233 264 241 225 310 160

Public access

View all

11 articles

0 articles

available

not available

Based on funding mandates

Co-authors

Walter CraigMathematics, McMaster UniversityVerified email at math.mcmaster.ca
Jean-Pierre EckmannUniversity of GenevaVerified email at unige.ch
Thierry GallayProfesseur de mathématiques, université Grenoble AlpesVerified email at univ-grenoble-alpes.fr
Margaret BeckProfessor of Mathematics, Boston UniversityVerified email at bu.edu
Aaron HoffmanOlin CollegeVerified email at olin.edu
Rafael de la LlaveProfessor of Mathematics, Georgia Institute of TechnologyVerified email at math.gatech.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
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
Omar J AhmedAssociate Professor, University of MichiganVerified email at umich.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
Keith PromislowProfessor of Mathematics and Chair, Michigan State UniversityVerified email at math.msu.edu
Osman ChaudharyBoston 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	547	1993
Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory CE Wayne Communications in Mathematical Physics 127 (3), 479-528, 1990	490	1990
Propagation of ultra-short optical pulses in cubic nonlinear media T Schäfer, CE Wayne Physica D: Nonlinear Phenomena 196 (1-2), 90-105, 2004	477	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	477	2004
Scaling theory for noisy period-doubling transitions to chaos B Shraiman, CE Wayne, PC Martin Physical Review Letters 46 (14), 935, 1981	262	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 (3), 209-258, 2002	237	2002
Global stability of vortex solutions of the two-dimensional Navier-Stokes equation T Gallay, CE Wayne Communications in mathematical physics 255 (1), 97-129, 2005	228	2005
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	221	2000
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	193	1987
Ultra-short pulses in linear and nonlinear media Y Chung, C Jones, T Schäfer, CE Wayne Nonlinearity 18 (3), 1351, 2005	192	2005
Localization in disordered, nonlinear dynamical systems J Fröhlich, T Spencer, CE Wayne Journal of statistical physics 42 (3), 247-274, 1986	173	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	161	1997
The rigorous approximation of long-wavelength capillary-gravity waves G Schneider, CE Wayne Archive for rational mechanics and analysis 162 (3), 247-285, 2002	112	2002
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	111	2000
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	105	1989
Invariant manifolds for parabolic partial differential equations on unbounded domains CE Wayne Archive for Rational Mechanics and Analysis 138 (3), 279-306, 1997	92	1997
Kawahara dynamics in dispersive media G Schneider, CE Wayne Physica D: Nonlinear Phenomena 152, 384-394, 2001	87	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	86	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	84	2013
Propagating fronts and the center manifold theorem JP Eckmann, CE Wayne Communications in mathematical physics 136 (2), 285-307, 1991	78	1991

The system can't perform the operation now. Try again later.

Articles 1–20

Citations per year

Duplicate citations

Merged citations

Add co-authorsCo-authors

Follow

Cited by

Co-authors