Kevin Zumbrun

Kevin Zumbrun

Indiana University Bloomington

H-index: 51

North America-United States

About Kevin Zumbrun

Kevin Zumbrun, With an exceptional h-index of 51 and a recent h-index of 21 (since 2020), a distinguished researcher at Indiana University Bloomington, specializes in the field of PDE, fluid dynamics, shock theory, pattern formation.

His recent articles reflect a diverse array of research interests and contributions to the field:

Forward-modulated damping estimates and nonlocalized stability of periodic Lugiato–Lefever waves

Multidimensional stability and transverse bifurcation of hydraulic shocks and roll waves in open channel flow

Existence and stability of nonmonotone hydraulic shocks for the Saint Venant equations of inclined thin-film flow

Convective Turing bifurcation with conservation laws

Convective-Wave Solutions of the Richard–Gavrilyuk Model for Inclined Shallow-Water Flow

Continuous guts poker and numerical optimization of generalized recursive games

Instantaneous smoothing and exponential decay of solutions for a degenerate evolution equation with application to Boltzmann's equation

FORWARD-MODULATED DAMPING ESTIMATES: REMARK ON A PAPER OF HARAGUS, JOHNSON, PERKINS, AND DE RIJK

Kevin Zumbrun Information

University

Position

___

Citations(all)

8084

Citations(since 2020)

1735

Cited By

6899

hIndex(all)

51

hIndex(since 2020)

21

i10Index(all)

143

i10Index(since 2020)

58

Email

University Profile Page

Indiana University Bloomington

Google Scholar

View Google Scholar Profile

Kevin Zumbrun Skills & Research Interests

PDE

fluid dynamics

shock theory

pattern formation

Top articles of Kevin Zumbrun

Title

Journal

Author(s)

Publication Date

Forward-modulated damping estimates and nonlocalized stability of periodic Lugiato–Lefever waves

Annales de l'Institut Henri Poincaré C

Kevin Zumbrun

2023/3/17

Multidimensional stability and transverse bifurcation of hydraulic shocks and roll waves in open channel flow

arXiv preprint arXiv:2309.08870

Zhao Yang

Kevin Zumbrun

2023/9/16

Existence and stability of nonmonotone hydraulic shocks for the Saint Venant equations of inclined thin-film flow

arXiv preprint arXiv:2307.10657

Grégory Faye

L Miguel Rodrigues

Zhao Yang

Kevin Zumbrun

2023/7/20

Convective Turing bifurcation with conservation laws

arXiv preprint arXiv:2305.16457

Aric Wheeler

Kevin Zumbrun

2023/5/25

Convective-Wave Solutions of the Richard–Gavrilyuk Model for Inclined Shallow-Water Flow

Water Waves

L Miguel Rodrigues

Zhao Yang

Kevin Zumbrun

2023/4

Continuous guts poker and numerical optimization of generalized recursive games

arXiv preprint arXiv:2208.02788

Kevin Buck

Jae Hwan Lee

Jacob Platnick

Aric Wheeler

Kevin Zumbrun

2022/8/4

Instantaneous smoothing and exponential decay of solutions for a degenerate evolution equation with application to Boltzmann's equation

arXiv preprint arXiv:2203.14862

Fedor Nazarov

Kevin Zumbrun

2022/3/28

FORWARD-MODULATED DAMPING ESTIMATES: REMARK ON A PAPER OF HARAGUS, JOHNSON, PERKINS, AND DE RIJK

arXiv preprint arXiv:2203.01770

KEVIN ZUMBRUN

2022/3

Game-theoretic analysis of Guts Poker

arXiv preprint arXiv:2108.06556

Luca Castornova

Yijia Chen

Kevin Zumbrun

2021/8/14

Transverse bifurcation of viscous slow MHD shocks

Physica D: Nonlinear Phenomena

Blake Barker

Rafael Monteiro

Kevin Zumbrun

2021/6/1

Diffusive stability of convective Turing patterns

arXiv preprint arXiv:2101.08360

Aric Wheeler

Kevin Zumbrun

2021/1/20

Convective Turing bifurcation

arXiv preprint arXiv:2101.07239

Aric Wheeler

Kevin Zumbrun

2021/1/18

Existence and behavior of steady solutions on an interval for general hyperbolic-parabolic systems of conservation laws

arXiv preprint arXiv:2112.03995

Benjamin Melinand

Kevin Zumbrun

2021/12/7

Large-amplitude modulation of periodic traveling waves

arXiv preprint arXiv:2011.11817

Guy Métivier

Kevin Zumbrun

2020/11/24

Spectral stability of hydraulic shock profiles

Physica D: Nonlinear Phenomena

Alim Sukhtayev

Zhao Yang

Kevin Zumbrun

2020/4/1

A Sturm–Liouville theorem for quadratic operator pencils

Journal of Differential Equations

Alim Sukhtayev

Kevin Zumbrun

2020/3/15

Stability of strong detonation waves for Majda's model with general ignition functions

arXiv preprint arXiv:2003.07715

Soyeun Jung

Zhao Yang

Kevin Zumbrun

2020/3/11

Stability of hydraulic shock profiles

Archive for Rational Mechanics and Analysis

Zhao Yang

Kevin Zumbrun

2020/1

Spectral decomposition and decay to grossly determined solutions for a simplified BGK model

arXiv preprint arXiv:2012.00734

Alim Sukhtayev

Kevin Zumbrun

2020/12/1

See List of Professors in Kevin Zumbrun University(Indiana University Bloomington)

Co-Authors

H-index: 79
Andrea Bertozzi

Andrea Bertozzi

University of California, Los Angeles

H-index: 56
Bjorn Sandstede

Bjorn Sandstede

Brown University

H-index: 40
Russell Lyons

Russell Lyons

Indiana University Bloomington

H-index: 36
Michael Shearer

Michael Shearer

North Carolina State University

H-index: 31
Wen-An Yong

Wen-An Yong

Tsinghua University

H-index: 26
Mathew A. Johnson

Mathew A. Johnson

University of Kansas

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