Kevin Zumbrun

Applied Mathematics · 2001–2012

A researcher in the Science corpus: 12 papers; trusts 6 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 13 citations into it; #1,838 of 7,620 by trust here, #3,100 by citations
• Statistical and Nonlinear Physics — 13 citations into it
• Computational Theory and Mathematics — 6 citations into it; #7,189 of 12,182 by trust here, #7,851 by citations
• Computational Mechanics — 5 citations into it; #2,336 of 10,001 by trust here, #6,287 by citations
• Computer Networks and Communications — 5 citations into it
• Mathematical Physics — 5 citations into it; #5,406 of 8,562 by trust here, #4,022 by citations

Whom Kevin Zumbrun trusts overall

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

1. G. Métivier
2. Denis Serre
3. Frédéric Rousset
4. Arjen Doelman
5. Heinrich Freistühler

Who trusts Kevin Zumbrun overall

1. G. Métivier
2. Heinrich Freistühler
3. Olivier Guès
4. Wen-An Yong
5. Corrado Mascia
6. Peter Szmolyan
7. Mark E. Williams
8. Nader Masmoudi

Papers from Kevin Zumbrun's perspective

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

1. Large Viscous Boundary Layers For Noncharacteristic Nonlinear Hyperbolic Problems
2. Perturbation theory for linear operators
3. Stability of one‐dimensional boundary layers by using Green's functions
4. Boundary Layer Stability¶in Real Vanishing Viscosity Limit
5. The Dynamics of Modulated Wave Trains
6. Multidimensional Stability of Planar Viscous Shock Waves
7. Partial Differential Equations
8. Method of Modern Mathematical Physics
9. Spectral Stability of Small Shock Waves
10. Matrix multiplication via arithmetic progressions

Their papers

• Large Viscous Boundary Layers For Noncharacteristic Nonlinear Hyperbolic Problems (2005) — 143 citations
• Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation (2012) — 58 citations
• Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation (2011) — 49 citations
• Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction diffusion equations (2010) — 60 citations
• Existence and Stability of Multidimensional Shock Fronts in the Vanishing Viscosity Limit (2005) — 62 citations
• Stability of Large-Amplitude Shock Waves of Compressible Navier–Stokes Equations (2003) — 143 citations
• Pointwise Green Function Bounds for Shock Profiles of Systems with Real Viscosity (2003) — 120 citations
• Stability of Periodic Solutions¶of Conservation Laws with Viscosity:¶Pointwise Bounds on the Green Function (2003) — 58 citations
• Errata to: 'Pointwise semigroup methods and stability of viscous shock waves' (2002) — 83 citations
• Generic types and transitions in hyperbolic initial–boundary-value problems (2002) — 55 citations
• Boundary Layer Stability¶in Real Vanishing Viscosity Limit (2001) — 67 citations
• Multidimensional Stability of Planar Viscous Shock Waves (2001) — 149 citations