Publications in VIVO

Co-author Network

Segur, Harvey

Professor Emerita/Emeritus

Positions

Professor Emerita/Emeritus, Applied Mathematics

Research Areas

Research

research overview

My principal research interests are in the study of nonlinear wave propagation. As as applied mathematician, I am especially interested in collaborating with experimentalists, so that we build the theory and the experimental record together. Much of my recent work has focused on the dynamics of ocean waves, including their stability.

keywords

partial differential equations, with emphasis on wave propagation, and special interest in nonlinear wave propagation

Publications

selected publications

book
- Asymptotics Beyond All Orders 1991
- Solitony i metod obratnoi zadachi 1987
- Solitons and coherent structures 1986
- Solitons and the inverse scattering transform. Ed. 4. 1981
chapter
- Integrable models of waves in shallow water 2008
- Integrable models of waves in shallow water. 345-371. 2008
- Waves in shallow water, with emphasis on the tsunami of 2004 2007
- Waves in shallow water, with emphasis on the tsunami of 2004. 3-29. 2007
- Asymptotics beyond all orders—a survey. 150-172. 1993
conference proceeding
- Dissipation of Narrow-Banded Surface Water Waves. Fields Institute Communications. 163-183. 2014
- DEMONSTRATION EXPERIMENTS IN THE NSF-CBMS REGIONAL CONFERENCE ON WATER WAVES. 191-201. 2008
- Asymptotics beyond all orders. xiv+389-xiv+389. 1991
- Solitons and coherent structures. Physica D: Nonlinear Phenomena. i--xiii and 1--487-i--xiii and 1--487. 1986
journal article
- Toward a General Solution of the Three-Wave Partial Differential Equations. Studies in Applied Mathematics. 70-92. 2016
- Preface. Electronic Proceedings in Theoretical Computer Science. 2016
- Dissipation of narrow-banded surface water waves. Fields Institute Communications. 163-183. 2015
- The role of dissipation in the evolution of ocean swell. Journal of Geophysical Research: Oceans. 5074-5091. 2013
- The role of dissipation in the evolution of ocean swell. Journal of Geophysical Research: Oceans. 5074-5091. 2013

Teaching

courses taught

APPM 4350 - Methods in Applied Mathematics: Fourier Series and Boundary Value Problems
Primary Instructor - Fall 2018 / Fall 2019 / Fall 2021
Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution of these equations via separation of variables, with Fourier series, Fourier integrals, and more general eigenfunction expansions. Same as APPM 5350.
APPM 5350 - Methods in Applied Mathematics: Fourier Series and Boundary Value Problems
Primary Instructor - Fall 2018 / Fall 2019 / Fall 2021
Department enforced prerequsite courses: APPM 2350 or MATH 2400 and APPM 2360 and a prerequisite or corequisite course: APPM 3310 or MATH 2130 or MATH 2135. Same as APPM 4350.

Background

education and training

Ph.D., University of California-Berkeley 1969
M.S., University of California-Berkeley 1967
B.S., Michigan State University 1964

awards and honors

Hazel Barnes Prize, conferred by Office of the Chancellor, 2011
Distinguished Research Lectureship, conferred by Research & Innovation Office, 2005
President's Teaching Scholar, conferred by University of Colorado President, 1998
BFA Award for Excellence in Teaching and Pedagogy, conferred by Boulder Faculty Assembly, 1994

International Activities

geographic focus

Canada Country
India Country
United Kingdom Country

Other Profiles

ORCID iD

http://orcid.org/0000-0001-8043-9686