Research Output per year

## 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.

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Saint-Venant's Principle
Mathematics

Continuous Dependence
Mathematics

Differential Inequalities
Mathematics

Elastic Material
Mathematics

Decay
Mathematics

Uniqueness
Mathematics

Zero
Mathematics

Elastostatics
Mathematics

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Co Author Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1973 2018

## 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 journal › Article

Open Access

File

Dislocation

Edge dislocations

Screw dislocations

Boundary value problems

Tensors

## 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 journal › Article

Saint-Venant's Principle

Piezoelectricity

Thermoelasticity

Dissipative Systems

Coupled System

## 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 journal › Article

Open Access

File

Transient Heat Conduction

Heat conduction

Decay

Maximum principle

Thermal energy

## 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 proceeding › Conference contribution

Microstructure

Hamiltonian Formulation

Noether

Cartesian product

Kinetic energy

## On domain decomposition for elliptic systems

Knops, R. J., Dec 2015, In : Journal of Dynamics and Differential Equations. 27, 3, p. 803-822 20 p.Research output: Contribution to journal › Article

Elliptic Systems

Domain Decomposition

Dirichlet Integral

P-Laplacian

Quadratic form