Miles H. Wheeler¶
I am a Lecturer in Analysis in the Department of Mathematical Sciences at the University of Bath. Before coming to Bath, I was a University Assistant at the Faculty of Mathematics at the University of Vienna, and before that I was a postdoc at the Courant Institute of Mathematical Sciences supported by an NSF fellowship. I am interested in partial differential equations coming from fluid mechanics, especially “large-amplitude” solutions that cannot be captured using perturbative techniques.
- Office hours
Applications are now open for a PhD project on the Mathematical analysis of vorticity fronts, with myself as the lead supervisor and Karsten Matthies as the second supervisor. More information is available at FindAPhD.com, and also feel free to email me with any informal questions. The deadline for submissions is January 31st.
The One World PDE Seminar meets Tuesdays 3:30–4:30pm UK time. Hope to see you there!
Expository notes and talks¶
For a more accessible introduction to the sort of work I do, see this expository talk on solitary waves and fronts, or this short introduction to local and global bifurcation theory. The talk is from a series on steady water waves in the ONEPAS seminar, and the notes are from a 2019 lecture to a group of masters students in mathematics and physics.
Papers and preprints¶
RM Chen, S Walsh, and MH Wheeler, Existence, nonexistence, and asymptotics of deep water solitary waves with localized vorticity, Arch. Rational Mech. Anal., 234(2):595, 2019 journal, arxiv (39 pages)
MH Wheeler, Simplified Models for Equatorial Waves with Vertical Structure, Oceanography 31(3):36, 2018. journal (open access) (6 pages)
Spring 2021, University of Bath: Theory of Partial Differential Equations
Fall 2020, University of Bath: Advanced Real Analysis
Spring 2020, University of Bath: Theory of Partial Differential Equations
Summer 2019, University of Vienna: Tutorial on ordinary differential equations.
Winter 2018, University of Vienna: Topics in analysis: fluid mechanics
Summer 2018, University of Vienna: Tutorial on ordinary differential equations.
Winter 2017, University of Vienna: Tutorial on partial differential equations.
Fall 2016, NYU: Instructor for Math-UA 325, Analysis I (Section 3).
Spring 2015, NYU: Instructor for Math-UA 121, Calculus I (Section 6).
Fall 2014, NYU: Instructor for Math-UA 122, Calculus II (Section 3).
Fall 2012, Brown University: Instructor (TF) for Math 200, Intermediate (Multivariable, Physics/Engineering) Calculus.
Spring 2012, Brown University: Instructor (TF) for Math 200, Intermediate (Multivariable, Physics/Engineering) Calculus.
Spring 2012, Brown University: TA for Math 100 (Calculus II).
Fall 2010, Brown University: TA for Math 100 (Calculus II).