Miles H. Wheeler¶
I am a Lecturer 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
I am happy to be contacted by potential PhD students, who may also find these informal notes useful. They are from a 2019 lecture to a group of masters students in mathematics and physics, and provide a quick introduction to local and global bifurcation theory.
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 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).