Robin J. Knops

Prof

  • EH14 4AS

    United Kingdom

1973 …2019

Research output per year

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Personal profile

Research interests

Qualitative behaviour of solutions to initial boundary value problems for various linear and nonlinear theories in continuum mechanics,including elasticity and Navier-Stokes. There is especial current interest in uniqueness, dynamic and spatial stability, continuous data dependence (Saint-Venant's principle), and singularities (dislocations).

Biography

Former Head of Mathematics Department and Vice-Principle , Heriot-Watt University. Former Leverhulme Emeritus Research Fellow Visiting Professorships at Cornell University, University of California at Berkeley. Univeristies of Pisa, Rome III, and EPFL, Lausanne. Past President of Edinburgh Mathematical Society; International Society for the Interaction of Mathematics and Mechanics. Past Series Editor for C&H/CRC Press.

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Research Output

On the Structure of Linear Dislocation Field Theory

Acharya, A., Knops, R. J. & Sivaloganathan, J., Sep 2019, In : Journal of the Mechanics and Physics of Solids. 130, p. 216-244 29 p.

Research output: Contribution to journalArticle

  • The Filon construct for moving dislocations

    Acharya, A. & Knops, R. J., Apr 2018, In : Journal of Engineering Mathematics. 109, 1, p. 239-257 19 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 15 Downloads (Pure)

    New frontiers in Zanaboni's formulation of Saint-Venant's principle

    Knops, R. J., 2017, In : Rendiconti Lincei - Matematica e Applicazioni . 28, 2, p. 255-275 21 p.

    Research output: Contribution to journalArticle

  • Spatial decay in transient heat conduction for general elongated regions

    Knops, R. J. & Quintanilla, R., 5 Dec 2017, In : Quarterly of Applied Mathematics. 76, 4, p. 611-625 15 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 12 Downloads (Pure)

    Manifolds in a theory of microstructures

    Capriz, G. & Knops, R. J., 2015, Differential Geometry and Continuum Mechanics. Chen, G-Q. G., Grinfeld, M. & Knops, R. J. (eds.). Springer International Publishing, Vol. 3. p. 167-201 35 p. (Springer Proceedings in Mathematics & Statistics; vol. 137).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution