Research Output 1966 2020

1978

The elastic instability of a director rod

Knops, R. J. & Wilkes, N. S., 1978, In : International Journal of Solids and Structures. 14, 6, p. 527-533 7 p.

Research output: Contribution to journalArticle

Critical Load
Postbuckling
Timoshenko Beam
Logarithmic
Partial differential equation
1977

A characterization of the simple groups PSp(4, 3) and PSp(6, 2)

Prince, A. R., Apr 1977, In : Journal of Algebra. 45, 2, p. 306-320 15 p.

Research output: Contribution to journalArticle

A stability theorem for a mixture of two viscous fluids at different temperatures

Beevers, C. E. & Craine, R. E., Jun 1977, In : Archive for Rational Mechanics and Analysis. 63, 2, p. 155-168 14 p.

Research output: Contribution to journalArticle

Energy arguments in linear thermoelasticity

Beevers, C. E. & Engelbrecht, J., Mar 1977, In : Acta Mechanica. 28, 1-4, p. 201-210 10 p.

Research output: Contribution to journalArticle

Thermoelasticity
Classical Solution
Mixed Initial-boundary Value Problem
Dynamics (theory)
Continuum Mechanics

Global attraction for the one-dimensional heat equation with nonlinear time-dependent boundary conditions

Ball, J. M. & Peletier, L. A., Sep 1977, In : Archive for Rational Mechanics and Analysis. 65, 3, p. 193-201 9 p.

Research output: Contribution to journalArticle

Healing and relaxation in flows of helium II-I. Generalization of landau's equations

Hills, R. N. & Roberts, P. H., 1977, In : International Journal of Engineering Science. 15, 5, p. 305-316 12 p.

Research output: Contribution to journalArticle

healing
helium
continuum mechanics
fluids
wave functions

Multiple positive solutions for a class of nonlinear boundary value problems

Brown, K. J. & Budin, H., Sep 1977, In : Journal of Mathematical Analysis and Applications. 60, 2, p. 329-338 10 p.

Research output: Contribution to journalArticle

Naturally formed boiling site cavities

Cornwell, K., Jan 1977, In : Letters in Heat and Mass Transfer. 4, 1, p. 63-71 9 p.

Research output: Contribution to journalArticle

Numerical evidence for breakdown of soliton behaviour in solutions of the Maxwell-Bloch equations

Caudrey, P. J. & Eilbeck, J. C., 25 Jul 1977, In : Physics Letters A. 62, 2, p. 65-66 2 p.

Research output: Contribution to journalArticle

solitary waves
breakdown
collisions
pulses

Numerical study of the regularized long-wave equation. II: Interaction of solitary waves

Eilbeck, J. C. & M, G. R., Jan 1977, In : Journal of Computational Physics. 23, 1, p. 63-73 11 p.

Research output: Contribution to journalArticle

planetary waves
wave equations
solitary waves
interactions
mirrors

On 2-groups admitting A5 or A6 with an element of order 5 acting fixed point freely

Prince, A. R., Dec 1977, In : Journal of Algebra. 49, 2, p. 374-386 13 p.

Research output: Contribution to journalArticle

Remarks on blow-up and nonexistence theorems for nonlinear evolution equations

Ball, J. M., Dec 1977, In : Quarterly Journal of Mathematics. 28, 4, p. 473-486 14 p.

Research output: Contribution to journalArticle

Superfluid mechanics for a high density of vortex lines

Hills, R. N. & Roberts, P. H., Mar 1977, In : Archive for Rational Mechanics and Analysis. 66, 1, p. 43-71 29 p.

Research output: Contribution to journalArticle

vortices
continuum mechanics
pulsars
neutron stars
invariance

The Feynman maps and the Wiener integral

Truman, A., 1977, In : Journal of Mathematical Physics. 19, 8, p. 1742-1750 9 p.

Research output: Contribution to journalArticle

Wiener Integral
Feynman Path Integral
Feynman Integrals
Analytic Continuation
Convergence Theorem

Thermodynamic restrictions on viscoelastic materials

Wilkes, N. S., May 1977, In : Quarterly Journal of Mechanics and Applied Mathematics. 30, 2, p. 209-221 13 p.

Research output: Contribution to journalArticle

viscoelasticity
constrictions
thermodynamics
1976

A modified regularized long-wave equation with an exact two-soliton solution

Gibbon, J. D., Eilbeck, J. C. & Dodd, R. K., 1976, In : Journal of Physics A: Mathematical and General. 9, 10, p. L127-L130 002.

Research output: Contribution to journalArticle

planetary waves
wave equations
solitary waves

An alternative approach to the improvement of LR(k) parsers

Backhouse, R. C., Sep 1976, In : Acta Informatica. 6, 3, p. 277-296 20 p.

Research output: Contribution to journalArticle

A simplified two-fluid theory for helium(II)

Beevers, C. E., 1976, In : International Journal of Engineering Science. 14, 5, p. 457-465 9 p.

Research output: Contribution to journalArticle

Two-fluid Model
Fluid
Mixture Theory
Classical Solution
Initial-boundary-value Problem

Classical mechanics, the diffusion (heat) equation, and the Schrödinger equation

Truman, A., 1976, In : Journal of Mathematical Physics. 18, 12, p. 2308-2315 8 p.

Research output: Contribution to journalArticle

Classical Mechanics
Diffusion equation
Heat Equation
Cauchy Problem
Limiting

Continuous dependence theorems in the theory of linear elastic materials with microstructure

Knops, R. J. & Straughan, B., 1976, In : International Journal of Engineering Science. 14, 6, p. 555-565 11 p.

Research output: Contribution to journalArticle

Continuous Dependence
Elastic Material
Microstructure
Micropolar
Exterior Domain

Convexity conditions and existence theorems in nonlinear elasticity

Ball, J. M., Dec 1976, In : Archive for Rational Mechanics and Analysis. 63, 4, p. 337-403 67 p.

Research output: Contribution to journalArticle

Decay to zero in critical cases of second order ordinary differential equations of Duffing type

Ball, J. M. & Carr, J., Mar 1976, In : Archive for Rational Mechanics and Analysis. 63, 1, p. 47-57 11 p.

Research output: Contribution to journalArticle

Observation of boiling in porous media

Cornwell, K., Nair, B. G. & Patten, T. D., Feb 1976, In : International Journal of Heat and Mass Transfer. 19, 2, p. 236-238 3 p.

Research output: Contribution to journalArticle

Restoring orders of accuracy for multilevel schemes for non-linear hyperbolic systems in many space variables

Mcguire, G. R. & Morris, J. L., Feb 1976, In : IMA Journal of Applied Mathematics. 17, 1, p. 53-67 15 p.

Research output: Contribution to journalArticle

Nonlinear Hyperbolic Systems
Second-order Accuracy
Strings
Numerical Experiment
First-order

Some stability results in the linear theory of anisotropic elastodynamics

Beevers, C. E., Oct 1976, In : Journal of Elasticity. 6, 4, p. 419-428 10 p.

Research output: Contribution to journalArticle

Data Dependence
Elastodynamics
Continuous Dependence
Uniqueness Theorem
Classical Solution

Stabilization of concentration profiles in catalyst particles

Ball, J. M. & Peletier, L. A., Mar 1976, In : Journal of Differential Equations. 20, 2, p. 356-368 13 p.

Research output: Contribution to journalArticle

The classical action in nonrelativistic quantum mechanics

Truman, A., 1976, In : Journal of Mathematical Physics. 18, 7, p. 1499-1509 11 p.

Research output: Contribution to journalArticle

quantum mechanics
classical mechanics
products

Wave power availability in the NE Atlantic

Mollison, D., Buneman, O. P. & Salter, S. H., 1976, In : Nature. 263, 5574, p. 223-226 4 p.

Research output: Contribution to journalArticle

Wave power
Availability
Cams
Frequency bands
1975

Feynman path integrals and quantum mechanics as ℏ↑0

Truman, A., 1975, In : Journal of Mathematical Physics. 17, 10, p. 1852-1862 11 p.

Research output: Contribution to journalArticle

quantum mechanics
classical mechanics
Hilbert space

Numerical study of the regularized long-wave equation I: Numerical methods

Eilbeck, J. C. & McGuire, G. R., Sep 1975, In : Journal of Computational Physics. 19, 1, p. 43-57 15 p.

Research output: Contribution to journalArticle

wave equation
numerical method
solitary wave
method

The sine-Gordon equation as a model classical field theory

Caudrey, P. J., Eilbeck, J. C. & Gibbon, J. D., Feb 1975, In : Il Nuovo Cimento B. 25, 2, p. 497-512 16 p.

Research output: Contribution to journalArticle

elementary particles
physics
composite materials
interactions

Uniqueness and stability in linear viscoelasticity

Beevers, C. E., Mar 1975, In : Zeitschrift für angewandte Mathematik und Physik ZAMP. 26, 2, p. 177-186 10 p.

Research output: Contribution to journalArticle

Mixed Initial-boundary Value Problem
Linear Viscoelasticity
Dynamics (theory)
Viscoelasticity
Continuous Dependence
1974

A class of implicit, second-order accurate, dissipative schemes for solving systems of conservation laws

McGuire, G. R. & Morris, J. L., Feb 1974, In : Journal of Computational Physics. 14, 2, p. 126-147 22 p.

Research output: Contribution to journalArticle

Systems of Conservation Laws
Implicit Scheme
Convergence Condition
Explicit Scheme
Difference Scheme

A general theory of self-induced transparency

BULLOUGH, R. K., CAUDREY, P. J., EILBECK, J. C. & GIBBON, J. D., 1974, In : Opto-Electronics. 6, 1, p. 121-140 20 p.

Research output: Contribution to journalArticle

A model for starch breakdown in higher plants

Dunn, G., Aug 1974, In : Phytochemistry. 13, 8, p. 1341-1346 6 p.

Research output: Contribution to journalArticle

amylases
starch granules
starch
distribution (economics)
dextrins

Computer Aided Design of Compensators for nonlinear Control Systems Using the Gradients of Stability Constraints

Davis, R. H. & Kramer, E., 1974, p. 58-64. 7 p.

Research output: Contribution to conferencePaper

Continuity properties of nonlinear semigroups

Ball, J. M., Sep 1974, In : Journal of Functional Analysis. 17, 1, p. 91-103 13 p.

Research output: Contribution to journalArticle

Dual analysis of the process p̄n→3π at rest and in flight

Nicholas, L. E., 1974, In : Physical Review D - Particles and Fields. 9, 5, p. 1330-1334 5 p.

Research output: Contribution to journalArticle

flight
analysis
comparison
method

Evolutionary dilatational shock waves in a generalised theory of thermoelasticity

Beevers, C. E., Mar 1974, In : Acta Mechanica. 20, 1-2, p. 67-79 13 p.

Research output: Contribution to journalArticle

thermoelasticity
shock waves
shock
conservation laws
nonlinear equations

Evolutionary properties of elastodynamic solutions for non-negative and indefinite strain energies

Hills, R. N. & Knops, R. J., Mar 1974, In : Journal of Elasticity. 4, 1, p. 77-82 6 p.

Research output: Contribution to journalArticle

Some remarks on thermostatic inclusion problems

Beevers, C. E., Mar 1974, In : Journal of Elasticity. 4, 1, p. 83-87 5 p.

Research output: Contribution to journalArticle

Use of Computers in Network Design

Davis, R. H., 1974, In : Computer Aided Design. 6, p. 153 1 p.

Research output: Contribution to journalArticle

1973

Analytic structure of the Laplace transforms of distributions with restricted support

Screaton, G. R. & Truman, A., 1973, In : Journal of Mathematical Physics. 14, 7, p. 982-985 4 p.

Research output: Contribution to journalArticle

Laplace transform
Tube
Theorem
Relationships

Continuous dependence for the compressible linearly viscous fluid

Hills, R. N. & Knops, R. J., Jan 1973, In : Archive for Rational Mechanics and Analysis. 51, 1, p. 54-59 6 p.

Research output: Contribution to journalArticle

Discontinuities in helium II

Hills, R. N., Jan 1973, In : Applied Scientific Research. 27, 1, p. 145-155 11 p.

Research output: Contribution to journalArticle

discontinuity
helium
two fluid models
shock
entropy

Exact multisoliton solution of the inhomogeneously broadened self-induced transparency equations

CAUDREY, P. J., EILBECK, J. C., GIBBON, J. D. & BULLOUGH, R. K., 1973, In : Journal of Physics A: Mathematical and General. 6, 5, p. L53-L56 4 p.

Research output: Contribution to journalLetter

EXACT MULTISOLUTION SOLUTIONS OF SELF-INDUCED TRANSPARENCY AND SINE-GORDON EQUATIONS

CAUDREY, P. J., GIBBON, J. D., EILBECK, J. C. & BULLOUGH, R. K., 1973, In : Physical Review Letters. 30, 6, p. 237-238 2 p.

Research output: Contribution to journalArticle