John Billingham

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Professor of Theoretical Mechanics

University of Nottingham

United Kingdom

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John Billingham is a Professor of Theoretical Mechanics at the University of Nottingham, UK. His research focuses on various aspects of theoretical mechanics, particularly in relation to the Fisher-KPP equation and free-boundary problems. Recent articles authored by Professor Billingham include studies on nonlocal dynamics, lubrication flow in grinding, and inverse heat placement problems in metal additive manufacturing.

Recent Grants

Grant: Close

Inverse problem in energy beam controlled-depth machining

Open Date: 2013-10-06

Close Date: 2017-05-30

Grant: Close

Nonlinear water waves driven by the motion of a solid body

Open Date: 2010-08-31

Close Date: 2014-08-27

Grant: Close

Design and Validation of a Numerical Model for Inclined Oil-Water Flow

Open Date: 2007-09-30

Close Date: 2011-03-30

Articles (14)

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2025

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2022

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2022

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2022

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2020

Collaborators (3)

Kristoffer van der Zee

University of Nottingham

UNITED KINGDOM

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Zhirong Liao

Associate Professor

University of Nottingham

UNITED KINGDOM

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Jose Alberto Robles Linares Alvelais

University of Nottingham

UNITED KINGDOM

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John Billingham

Research Interests

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About

Recent Grants

Articles (14)

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 3. The effect of perturbations in the kernel

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 2. The initial-boundary value problem on a finite domain

The inverse heat placement problem in metal additive manufacturing: Why a rational approach is needed for powder bed fusion

A Shape-Newton Method for Free-Boundary Problems Subject to the Bernoulli Boundary Condition

Slow travelling wave solutions of the mixed local–non-local Fisher–KPP equation can have multiple sharp wavefronts

Lubrication flow in grinding

Efficient and Scalable Inverse Kinematics for Continuum Robots

A rational approach to beam path planning in additive manufacturing: the inverse heat placement problem

The non-local Lotka–Volterra system with a top hat kernel—Part 1: dynamics and steady states with small diffusivity

On modelling coolant penetration into the microchannels at the tool-workpiece interface

Travelling wave solutions of the cubic nonlocal Fisher-KPP equation: I. General theory and the near local limit

Non-local effects on travelling waves arising in a moving-boundary reaction–diffusion model

Slow travelling wave solutions of the nonlocal Fisher-KPP equation

Collaborators (3)

Kristoffer van der Zee

Zhirong Liao

Jose Alberto Robles Linares Alvelais

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