Darryl D. Holm

Statistical and Nonlinear Physics · 2001–2014

A researcher in the Science corpus: 13 papers; trusts 14 researchers and is trusted by 46 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 11 citations into it; #550 of 10,127 by trust here, #724 by citations
• Computational Mechanics — 6 citations into it; #2,082 of 10,001 by trust here, #2,309 by citations
• Mathematical Physics — 6 citations into it; #3,697 of 8,562 by trust here, #2,582 by citations
• Geometry and Topology — 5 citations into it; #736 of 7,422 by trust here, #472 by citations
• Numerical Analysis — 5 citations into it

Whom Darryl D. Holm trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jerrold E. Marsden
2. Ciprian Foias
3. Lokenath Debnath
4. Antonio Degasperis
5. Tudor S. Ratiu
6. G. Berkooz
7. Edriss S. Titi
8. Adrian J. Lew
9. Andrew N. W. Hone
10. Philip J. Holmes

Who trusts Darryl D. Holm overall

1. Yue Liu
2. Giuseppe Maria Coclite
3. Zhaoyang Yin
4. Jonatan Lenells
5. Zhiwu Lin
6. Joachim Escher
7. Holger R. Dullin
8. Kenneth Hvistendahl Karlsen
9. Y. Cao
10. Evelyn Lunasin

Papers from Darryl D. Holm's perspective

Ordered by how strongly the researchers Darryl D. Holm trusts endorse each paper. Same corpus, a different order for every researcher.

1. Introduction to mechanics and symmetry
2. A New Integrable Equation with Peakon Solutions
3. Asynchronous Variational Integrators
4. Regularization modeling for large-eddy simulation
5. Camassa–Holm, Korteweg–de Vries and related models for water waves (Journal of Fluid Mechanics)
6. Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains (Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
7. The long‐wave limit for the water wave problem I. The case of zero surface tension
8. Perturbative symmetry approach
9. Oscillatory Integrals and Phenomena Beyond all Algebraic Orders: with Applications to Homoclinic Orbits in Reversible Systems
10. The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows

Their papers

• Variational principles for stochastic fluid dynamics (2014) — 373 citations
• Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions (2009) — 275 citations
• On a Leray–α model of turbulence (2005) — 342 citations
• Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves (2003) — 296 citations
• On asymptotically equivalent shallow water wave equations (2003) — 249 citations
• Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation (2003) — 162 citations
• A New Integrable Equation with Peakon Solutions (2002) — 774 citations
• Regularization modeling for large-eddy simulation (2002) — 227 citations
• Integrable and non-integrable equations with peakons (2002) — 146 citations
• Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs (2002) — 302 citations
• Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary pde (2002) — 164 citations
• The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory (2001) — 452 citations
• The Navier–Stokes-alpha model of fluid turbulence (2001) — 468 citations