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.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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SDG 7 Affordable and Clean Energy
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Collaborations and top research areas from the last five years
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On action rate admissibility criteria
Gimperlein, H., Grinfeld, M., Knops, R. J. & Slemrod, M., Feb 2026, In: Zeitschrift für angewandte Mathematik und Physik ZAMP. 77, 2, 57.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Downloads (Pure) -
Interpreting convex integration results in hydrodynamics
Eyink, G., Gimperlein, H., Goldenfeld, N., Grinfeld, M., Karlin, I., Knops, R. J., Kogelbauer, F., Kreml, O., McLarty, C., Markfelder, S., Osipov, M. & Slemrod, M., 8 Jul 2025, In: European Mathematical Society Magazine. 136, p. 29-38 10 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile5 Downloads (Pure) -
On singular behaviour in a plane linear elastostatics problem
Gimperlein, H., Grinfeld, M., Knops, R. J. & Slemrod, M., Sept 2025, In: Mathematics and Mechanics of Solids. 30, 9, p. 1979-2000 22 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Link opens in a new tab Citation (Scopus)40 Downloads (Pure) -
The Least Action Admissibility Principle
Gimperlein, H., Grinfeld, M., Knops, R. J. & Slemrod, M., Apr 2025, In: Archive for Rational Mechanics and Analysis. 249, 2, 22.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Link opens in a new tab Citations (Scopus) -
Universal Deformations in Plane Isotropic Elastostatics
Knops, R. J., Nov 2025, In: Journal of Elasticity. 157, 4, 79.Research output: Contribution to journal › Article › peer-review
Open AccessFile10 Downloads (Pure)