World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
68
Citations
13728
World Ranking
321
National Ranking
178

Engineering and Technology

D-Index
65
Citations
12930
World Ranking
1563
National Ranking
510

Research.com Recognitions

  • 2013 - SIAM Fellow For contributions to pattern formation and nonlinear dynamics, bifurcation theory and fluid dynamics.
  • 2001 - Fellow of American Physical Society (APS) Citation For his innovative applications of modern mathematical tools such as bifurcation and group theory to the analysis of nonlinear structures in fluid flows and for his elucidation of fundamental dynamical mechanisms
  • 1980 - Fellow of Alfred P. Sloan Foundation

Overview

Edgar Knobloch is affiliated with the University of California, Berkeley in the United States. Their research spans multiple fields with a focus on nonlinear dynamics, fluid mechanics, and applied mathematics.

The main fields of study for this scientist include:

  • Engineering
  • Physics and Astronomy

Within these broad areas, their subfields of expertise highlight:

  • Computer Networks and Communications
  • Computational Mechanics
  • Statistical and Nonlinear Physics
  • Condensed Matter Physics
  • Global and Planetary Change

Their primary research topics reflect a strong focus on complex dynamic systems and pattern formations:

  • Nonlinear Dynamics and Pattern Formation
  • Fluid Dynamics and Turbulent Flows
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Theoretical and Computational Physics
  • Ecosystem dynamics and resilience
  • Geomagnetism and Paleomagnetism Studies
  • Nonlinear Photonic Systems

Notable recent papers authored by Edgar Knobloch include:

  • "Robust wall states in rapidly rotating Rayleigh-Bénard convection," 2020, Journal of Fluid Mechanics
  • "Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities," 2021, IMA Journal of Applied Mathematics
  • "Two-dimensional localized states in an active phase-field-crystal model," 2021, Physical Review E
  • "Stationary broken parity states in active matter models," 2023, Physical Review E
  • "Stationary peaks in a multivariable reaction-diffusion system: foliated snaking due to subcritical Turing instability," 2021, IMA Journal of Applied Mathematics

Frequent co-authors collaborating with this scientist include:

  • Adrian van Kan
  • Keith Julien
  • Uwe Thiele
  • Benjamin Favier
  • Svetlana V. Gurevich

Their publications have appeared primarily in the following venues:

  • arXiv (Cornell University)
  • Physical Review E
  • Journal of Fluid Mechanics
  • IMA Journal of Applied Mathematics
  • Zenodo (CERN European Organization for Nuclear Research)

Edgar Knobloch has received several awards recognizing contributions to their fields, including:

  • SIAM Fellow, 2013, for contributions to pattern formation and nonlinear dynamics, bifurcation theory and fluid dynamics
  • Fellow of American Physical Society (APS), 2001, for innovative applications of modern mathematical tools such as bifurcation and group theory to the analysis of nonlinear structures in fluid flows
  • Fellow of Alfred P. Sloan Foundation, 1980

Best Publications

  • Symmetry and Symmetry-Breaking Bifurcations in Fluid Dynamics

    John David Crawford;Edgar Knobloch

  • Localized states in the generalized Swift-Hohenberg equation.

    John Burke;Edgar Knobloch

  • Homoclinic snaking: structure and stability.

    John Burke;Edgar Knobloch

  • Nonlinear periodic convection in double-diffusive systems

    E. Knobloch;M. R. E. Proctor

  • Spatial Localization in Dissipative Systems

    E. Knobloch

  • Symmetries and pattern selection in Rayleigh-Bénard convection

    M. Golubitsky;J.W. Swift;E. Knobloch

  • Snakes and ladders: Localized states in the Swift–Hohenberg equation

    John Burke;Edgar Knobloch

  • Statistical and physical balances in low Rossby number Rayleigh–Bénard convection

    K. Julien;A.M. Rubio;I. Grooms;E. Knobloch

  • Oscillatory convection in binary mixtures

    E. Knobloch

  • Spatially localized structures in dissipative systems: open problems

    E Knobloch

  • Numerical simulation of an asymptotically reduced system for rotationally constrained convection

    Michael Sprague;Keith Julien;Edgar Knobloch;Joseph Werne

  • Linear stability of experimental Soret convection.

    Knobloch E;Moore Dr

  • Oscillations in double-diffusive convection

    L. N. Da Costa;E. Knobloch;N. O. Weiss

  • Heat transport in low-Rossby-number Rayleigh-Bénard convection.

    Keith Julien;Edgar Knobloch;Antonio M. Rubio;Geoffrey M. Vasil

  • Bifurcations in fluctuating systems: The center-manifold approach

    E. Knobloch;K. A. Wiesenfeld

  • Spatially localized binary-fluid convection

    Oriol Batiste;Edgar Knobloch;Arantxa Alonso;Isabel Mercader

  • Transitions to chaos in two-dimensional double-diffusive convection

    Edgar Knobloch;Daniel R. Moore;Juri Toomre;Nigel O. Weiss

  • The Takens-Bogdanov bifurcation with O(2)-symmetry

    G. Dangelmayr;E. Knobloch

  • Upscale energy transfer in three-dimensional rapidly rotating turbulent convection.

    Antonio M. Rubio;Keith Julien;Edgar Knobloch;Jeffrey B. Weiss

  • Hopf bifurcation with broken reflection symmetry in rotating Rayleigh-Bénard convection

    R. E. Ecke;Fang Zhong;Fang Zhong;E. Knobloch

  • Convective and absolute instabilities of fluid flows in finite geometry

    S. M. Tobias;S. M. Tobias;M. R. E. Proctor;E. Knobloch

  • Thin liquid films on a slightly inclined heated plate

    Uwe Thiele;Edgar Knobloch;Edgar Knobloch

Frequent Co-Authors

Keith Julien
Keith Julien University of Colorado Boulder
Uwe Thiele
Uwe Thiele University of Münster
Jeff Moehlis
Jeff Moehlis University of California, Santa Barbara
Steven M. Tobias
Steven M. Tobias University of Leeds
Michael R. E. Proctor
Michael R. E. Proctor University of Cambridge
Alan R Champneys
Alan R Champneys University of Bristol
Stéphane Coen
Stéphane Coen University of Auckland
Peter Hänggi
Peter Hänggi University of Augsburg
John Clarke
John Clarke University of California, Berkeley
L. N. da Costa
L. N. da Costa Harvard University

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