Prof. Robin Knops FRSE

Profile

Professor Emeritus

Mathematics

Address:
  • T.20 Colin Maclaurin Riccarton Campus Edinburgh EH14 4AS

Research

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).

Selected publications

Apart from a survey article for UNESCO's Encylopedia of Life Sciences, entitled "Introductory Topics in the Mathematical Theory of Continuum Mechanics", (with R Quintanilla, Barcelona), recent research publications (mainly joint) are concerned with Stokes flow in a channel, onset of buckling in a pre-stressed elastic cylinder, examples and counterexamples of Saint-Venant's principle, and continuous data dependence in linear elastodynamics and linear thermoelectrodynamics.

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.