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Personal profile

Research interests

I am a mathematical analyst with interests in partial differential equations, the calculus of variations, and geometric analysis. For more details see my home page: http://people.bath.ac.uk/rm257/

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Projects 2005 2013

Geometric Analysis
Higher Order
Partial differential equation
Physics
Geometer
Biharmonic Maps
Variational Approach
Calculus of variations
Minimization Problem
Partial differential equation

Research Output 2001 2019

Energy minimisers of prescribed winding number in an S1-valued nonlocal Allen-Cahn type model

Ignat, R. & Moser, R., 1 Dec 2019, In : Advances in Mathematics. 357, 45 p., 106819.

Research output: Contribution to journalArticle

2 Citations (Scopus)
26 Downloads (Pure)

Existence, uniqueness and structure of second order absolute minimisers

Katzourakis, N. & Moser, R., 1 Mar 2019, In : Archive for Rational Mechanics and Analysis. 231, 3, p. 1615-1634 20 p.

Research output: Contribution to journalArticle

Open Access
File
Existence and Uniqueness
50 Downloads (Pure)
Open Access
File
Exceptional Sets
Hausdorff Measure
Closed set
Small Perturbations
Rigidity
2 Citations (Scopus)
156 Downloads (Pure)

Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape

Ignat, R. & Moser, R., 5 Nov 2017, In : Journal of Differential Equations. 263, 9, p. 5846-5901

Research output: Contribution to journalArticle

Open Access
File
Winding number
Energy Landscape
Unit of length
Ferromagnetism
Domain Wall
1 Citation (Scopus)
87 Downloads (Pure)

Existence of equivariant biharmonic maps

Hornung, P. & Moser, R., 2016, In : International Mathematics Research Notices. 2016, 8, p. 2397-2422 26 p.

Research output: Contribution to journalArticle

Open Access
File
Biharmonic Maps
Equivariant Map
Quotient Space
Compact Lie Group
Isometry

Thesis

A Regularity Theory for Fractional Harmonic Maps

Author: Roberts, J., 25 Jan 2017

Supervisor: Moser, R. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Minimization of curvature in Conformal Geometry

Author: Sakellaris, Z., 18 Dec 2015

Supervisor: Moser, R. (Supervisor)

Student thesis: Doctoral ThesisPhD

File