Helge Holden

Statistical and Nonlinear Physics · 2000–2011

A researcher in the Science corpus: 16 papers; trusts 22 researchers and is trusted by 22 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 63 citations into it; #1,146 of 10,127 by trust here, #1,638 by citations
• Mathematical Physics — 47 citations into it; #2,253 of 8,562 by trust here, #1,515 by citations
• Geometry and Topology — 32 citations into it; #2,274 of 7,422 by trust here, #1,803 by citations
• Applied Mathematics — 22 citations into it; #3,010 of 7,620 by trust here, #2,807 by citations
• Oceanography — 8 citations into it
• Numerical Analysis — 5 citations into it

Whom Helge Holden trusts overall

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

1. Adrian Constantin
2. Zhouping Xin
3. Alberto Bressan
4. R. Johnson
5. Xavier Raynaud
6. Ping Zhang
7. Giuseppe Maria Coclite
8. Alexander Kurganov
9. Boris Kolev
10. Raphaël Danchin

Who trusts Helge Holden overall

1. Xavier Raynaud
2. Katrin Grunert
3. Giuseppe Maria Coclite
4. Alberto Bressan
5. Mauro Garavello
6. Wenxiu Ma
7. Kenneth Hvistendahl Karlsen
8. A. Alexandrou Himonas
9. Lorenzo Brandolese
10. Simone Göttlich

Papers from Helge Holden's perspective

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

1. On the scattering problem for the Camassa-Holm equation (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
2. Stability of peakons
3. Global Conservative Solutions of the Camassa–Holm Equation
4. Camassa–Holm, Korteweg–de Vries and related models for water waves (Journal of Fluid Mechanics)
5. On the weak solutions to a shallow water equation
6. Global Weak Solutions for a Shallow Water Equation
7. Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
8. A convergent numerical scheme for the Camassa--Holm equation based on multipeakons
9. The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations
10. An Optimal Transportation Metric for Solutions of the Camassa-Holm Equation

Their papers

• The Kolmogorov–Riesz compactness theorem (2009) — 231 citations
• Global Solutions for the Two-Component Camassa–Holm System (2011) — 69 citations
• Lipschitz metric for the Camassa-Holm equation on the line (2010) — 47 citations
• Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394] (2010) — 70 citations
• Dissipative solutions for the Camassa-Holm equation (2009) — 161 citations
• WELL-POSEDNESS OF HIGHER-ORDER CAMASSA-HOLM EQUATIONS (2009) — 63 citations
• Global Weak Solutions for a Shallow Water Equation (2008) — 268 citations
• Global conservative solutions of the generalized hyperelastic-rod wave equation ✩ (2007) — 73 citations
• Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View (2007) — 268 citations
• Algebro-Geometric Solutions of the Baxter–Szegő Difference Equation (2005) — 81 citations
• A convergent numerical scheme for the Camassa--Holm equation based on multipeakons (2005) — 109 citations
• WELLPOSEDNESS FOR A PARABOLIC-ELLIPTIC SYSTEM (2005) — 134 citations
• Solvable Models in Quantum Mechanics: Second Edition (2004) — 335 citations
• Soliton Equations and Their Algebro-Geometric Solutions: The AKNS Hierarchy (2003) — 350 citations
• Front Tracking for Hyperbolic Conservation Laws (2002) — 601 citations
• Operator splitting methods for degenerate convection–diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation (2000) — 47 citations