Kevin Zumbrun
Mathematics · Indiana University
Publications
310
Citations
6,434
Est. group size
—
Recurring co-author estimate
Active years
35
Publishing since 1992
Kevin Zumbrun works in applied mathematics, focusing on the mathematical analysis of fluid flows and wave phenomena. His research studies the stability of special solutions—such as shock waves and periodic 'roll waves' in shallow water or open-channel flow—using tools from partial differential equations and dynamical systems. Much of the work asks whether these structures persist or break apart when disturbed.
Publication activity has been fairly steady over the last five years, averaging around five to six papers per year after a higher rate in the late 2010s.
Generated by claude-opus-4-8 from public bibliographic data · Jul 11, 2026
- BLOCK-DIAGONALIZATION OF ODES IN THE SEMICLASSICAL LIMIT AND Cω VERSUS C∞ STATIONARY PHASE
UNC Libraries · 2026
- Multidimensional Stability and Transverse Bifurcation of Hydraulic Shocks and Roll Waves in Open Channel Flow
Journal of Mathematical Fluid Mechanics · 2025
- Orbital stability of undercompressive viscous shock waves under $L^1\cap H^4$ perturbation
arXiv (Cornell University) · 2025
- Existence and Stability of Hydraulic Shock Profiles of the Richard-Gavrilyuk Model for Inclined Shallow Water Flow
HAL (Le Centre pour la Communication Scientifique Directe) · 2025
- Linear damping estimates for periodic roll wave solutions of the inviscid Saint-Venant equations and related systems of hyperbolic balance laws
Journal of Nonlinear Waves · 2025
- Linear damping estimates for periodic roll wave solutions of the inviscid Saint-Venant equations and related systems of hyperbolic balance laws
arXiv (Cornell University) · 2025
- Non-linear stability of shock profiles in dissipative hyperbolic-hyperbolic systems
arXiv (Cornell University) · 2025
- Existence and Stability of Nonmonotone Hydraulic Shocks for the Saint Venant Equations of Inclined Thin-Film Flow
Archive for Rational Mechanics and Analysis · 2024
- Spectral decomposition and decay to grossly determined solutions for a simplified BGK model
Journal of Functional Analysis · 2024
- Existence and stability of steady noncharacteristic solutions on a finite interval of full compressible Navier–Stokes equations
Confluentes Mathematici · 2024
- Sychronous vs. asynchronous coalitions in multiplayer games, with applications to guts poker
arXiv (Cornell University) · 2024
- Pseudodifferential damping estimates and stability of relaxation shocks
arXiv (Cornell University) · 2024
- Forward-modulated damping estimates and nonlocalized stability of periodic Lugiato–Lefever waves
Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2023
- Convective-Wave Solutions of the Richard–Gavrilyuk Model for Inclined Shallow-Water Flow
Water Waves · 2023
- Multidimensional stability and transverse bifurcation of hydraulic shocks and roll waves in open channel flow
arXiv (Cornell University) · 2023
- arXiv (Cornell University)×36
- Physica D Nonlinear Phenomena×4
- UNC Libraries×4
- Mathematical Models and Methods in Applied Sciences×3
- Kinetic and Related Models×3
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 11, 2026.
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