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Wheeler, Valentina Dr

DECRA Research Fellow

  • Faculty of Engineering and Information Sciences
  • School of Mathematics and Applied Statistics
  • Institute for Mathematics and its Applications

Research Overview


  • I am a geometric analyst specialising in elliptic and parabolic partial differential equations. 

    I possess additional extensive training in differential geometry, calculus of variations, dynamical systems, general relativity and functional analysis.

    Several of my projects have direct applications to bush fire modelling and biological membrane modeling.

Available as Research Supervisor

Selected Publications


  • Journal Article

    Year Title
    2019

    Published In
    Differential Geometry and Its Applications
    Volume
    62
    Pages
    120 - 127
    ISSN
    0926-2245
    2017

    Published In
    Journal fuer die Reine und Angewandte Mathematik: Crelle's journal
    Volume
    2017
    Pages
    169 - 190
    ISSN
    0075-4102
    2017

    Published In
    Geometriae Dedicata
    Volume
    190
    Pages
    157 - 183
    ISSN
    0046-5755
    2017

    Published In
    Transactions of the American Mathematical Society
    Volume
    369
    Pages
    8319 - 8342
    ISSN
    1088-6850
    2017

    Published In
    Interfaces and Free Boundaries
    Volume
    19
    Pages
    495 - 523
    ISSN
    1463-9963
    2015

    Published In
    Journal of Elasticity
    Volume
    119
    Pages
    191 - 211
    ISSN
    0374-3535
    2014

    Published In
    No DEA: Nonlinear Differential Equations and Applications
    Volume
    22
    Pages
    325 - 343
    ISSN
    1420-9004
    2014

    Published In
    Journal fuer die Reine und Angewandte Mathematik: Crelle's journal
    Volume
    2014
    Pages
    115 - 131
    ISSN
    0075-4102
    2014

    Published In
    Mathematische Zeitschrift
    Volume
    276
    Pages
    281 - 298
    ISSN
    0025-5874
    2014

    Pages
    1 - 22
    2010

    Published In
    SIAM: Multiscale Modeling and Simulation
    Volume
    8
    Pages
    1348 - 1367
    ISSN
    1540-3459
    2008

    Published In
    Oberwolfach Reports
    Volume
    46
    Pages
    2639 - 2640
    ISSN
    1660-8933
    2008

    Published In
    Oberwolfach Reports
    Volume
    46
    Pages
    2637 - 2638
    ISSN
    1660-8933
  • Chapter

    Year Title
    2016

    Published In
    The Mechanics of Ribbons and Möbius Bands
    Publisher
    Switzerland: Springer Netherlands
    Pages
    191 - 211
  • Conference Paper

    Year Title
    2015

    Published In
    MODSIM2015, 21st International Congress on Modelling and Simulation
    Pages
    319 - 325
    2013

    Published In
    20th International Congress on Modelling and Simulation
    Pages
    297 - 303
    2013

    Published In
    20th International Congress on Modelling and Simulation
    Pages
    256 - 262

Available as Research Supervisor

Advisees


  • Graduate Advising Relationship

    Degree Research Title Advisee
    Doctor of Philosophy Curvature Flow and Wound Healing. He, Shuhui
    Doctor of Philosophy Non-Compact Higher-Order Curvature Flow O'Donnell, Lachlann

Keywords


  • Geometric Analysis
    Curvature flow
    Free boundary problems
    Partial differential equations
    Bush fire modelling
    Red blood cells

Research Overview


  • I am a geometric analyst specialising in elliptic and parabolic partial differential equations. 

    I possess additional extensive training in differential geometry, calculus of variations, dynamical systems, general relativity and functional analysis.

    Several of my projects have direct applications to bush fire modelling and biological membrane modeling.

Selected Publications


  • Journal Article

    Year Title
    2019

    Published In
    Differential Geometry and Its Applications
    Volume
    62
    Pages
    120 - 127
    ISSN
    0926-2245
    2017

    Published In
    Journal fuer die Reine und Angewandte Mathematik: Crelle's journal
    Volume
    2017
    Pages
    169 - 190
    ISSN
    0075-4102
    2017

    Published In
    Geometriae Dedicata
    Volume
    190
    Pages
    157 - 183
    ISSN
    0046-5755
    2017

    Published In
    Transactions of the American Mathematical Society
    Volume
    369
    Pages
    8319 - 8342
    ISSN
    1088-6850
    2017

    Published In
    Interfaces and Free Boundaries
    Volume
    19
    Pages
    495 - 523
    ISSN
    1463-9963
    2015

    Published In
    Journal of Elasticity
    Volume
    119
    Pages
    191 - 211
    ISSN
    0374-3535
    2014

    Published In
    No DEA: Nonlinear Differential Equations and Applications
    Volume
    22
    Pages
    325 - 343
    ISSN
    1420-9004
    2014

    Published In
    Journal fuer die Reine und Angewandte Mathematik: Crelle's journal
    Volume
    2014
    Pages
    115 - 131
    ISSN
    0075-4102
    2014

    Published In
    Mathematische Zeitschrift
    Volume
    276
    Pages
    281 - 298
    ISSN
    0025-5874
    2014

    Pages
    1 - 22
    2010

    Published In
    SIAM: Multiscale Modeling and Simulation
    Volume
    8
    Pages
    1348 - 1367
    ISSN
    1540-3459
    2008

    Published In
    Oberwolfach Reports
    Volume
    46
    Pages
    2639 - 2640
    ISSN
    1660-8933
    2008

    Published In
    Oberwolfach Reports
    Volume
    46
    Pages
    2637 - 2638
    ISSN
    1660-8933
  • Chapter

    Year Title
    2016

    Published In
    The Mechanics of Ribbons and Möbius Bands
    Publisher
    Switzerland: Springer Netherlands
    Pages
    191 - 211
  • Conference Paper

    Year Title
    2015

    Published In
    MODSIM2015, 21st International Congress on Modelling and Simulation
    Pages
    319 - 325
    2013

    Published In
    20th International Congress on Modelling and Simulation
    Pages
    297 - 303
    2013

    Published In
    20th International Congress on Modelling and Simulation
    Pages
    256 - 262

Advisees


  • Graduate Advising Relationship

    Degree Research Title Advisee
    Doctor of Philosophy Curvature Flow and Wound Healing. He, Shuhui
    Doctor of Philosophy Non-Compact Higher-Order Curvature Flow O'Donnell, Lachlann

Keywords


  • Geometric Analysis
    Curvature flow
    Free boundary problems
    Partial differential equations
    Bush fire modelling
    Red blood cells
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