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Kevin R Zumbrun

Affiliations: 
Indiana University, Bloomington, Bloomington, IN, United States 
Area:
Mathematics
Website:
https://math.indiana.edu/about/faculty/zumbrun-kevin.html
Google:
"Kevin Ronald Zumbrun" OR "Kevin R Zumbrun"
Bio:

http://pages.iu.edu/~kzumbrun/
https://books.google.com/books?id=CoovAQAAIAAJ

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Parents

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Tai-Ping Liu grad student 1990 NYU
 (Asymptotic behavior for systems of nonconvex conservation laws)

Children

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Peter B Howard grad student 1998 Indiana University
Myunghyun Oh grad student 2001 Indiana University
Jeffrey C. Humpherys grad student 2002 Indiana University
Gregory D. Lyng grad student 2002 Indiana University
Mohammadreza Raoofi grad student 2005 Indiana University
Shantia Yarahmadian grad student 2008 Indiana University
Bongsuk Kwon grad student 2009 Indiana University
Jinghua Yao grad student 2013 Indiana University
Blake Barker grad student 2014 Indiana University

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Publications

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Sukhtayev A, Yang Z, Zumbrun K. (2020) Spectral stability of hydraulic shock profiles Physica D: Nonlinear Phenomena. 405: 132360
Sukhtayev A, Zumbrun K. (2020) A Sturm–Liouville theorem for quadratic operator pencils Journal of Differential Equations. 268: 3848-3879
Pogan A, Zumbrun K. (2019) Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks Kinetic and Related Models. 12: 1-36
Melinand B, Zumbrun K. (2019) Existence and stability of steady compressible Navier–Stokes solutions on a finite interval with noncharacteristic boundary conditions Physica D: Nonlinear Phenomena. 394: 16-25
Yang Z, Zumbrun K. (2019) Convergence as period goes to infinity of spectra of periodic traveling waves toward essential spectra of a homoclinic limit Journal De MathéMatiques Pures Et AppliquéEs. 132: 27-40
Pogan A, Zumbrun K. (2019) Reverse norms and L∞ exponential decay for a class of degenerate evolution systems arising in kinetic theory Journal of Mathematical Analysis and Applications. 475: 190-202
Yang Z, Zumbrun K. (2019) Stability of Hydraulic Shock Profiles Archive For Rational Mechanics and Analysis. 235: 195-285
Barker B, Humpherys J, Lyng G, et al. (2018) Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations Siam Journal On Applied Dynamical Systems. 17: 1766-1785
Barker B, Jung S, Zumbrun K. (2018) Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves Physica D: Nonlinear Phenomena. 367: 11-18
Pogan A, Zumbrun K. (2018) Center manifolds for a class of degenerate evolution equations and existence of small-amplitude kinetic shocks Journal of Differential Equations. 264: 6752-6808
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