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Research Output 1998 2019

2019
6 Downloads (Pure)

Evolution equations on time-dependent intervals

Fokas, A. S., Pelloni, B. & Xia, B., Oct 2019, In : IMA Journal of Applied Mathematics. 84, 5, p. 1044-1060 17 p.

Research output: Contribution to journalArticle

File
Linear equations
Boundary Value
Boundary value problems
Partial differential equations
Integral equations
17 Downloads (Pure)
Open Access
File
Global Weak Solutions
Free Surface
Optimal Transport
Hamiltonians
Existence of Weak Solutions
2018
16 Downloads (Pure)

A numerical implementation of the unified Fokas transform for evolution problems on a finite interval

Kesici, E., Pelloni, B., Pryer, T. & Smith, D., Jun 2018, In : European Journal of Applied Mathematics. 29, 3, p. 543-567 25 p.

Research output: Contribution to journalArticle

Open Access
File
intervals
pulse detonation engines
boundary value problems
boundary conditions

Integrable nonlinear PDEs on the half-line

Pelloni, B. & Fokas, A. S., 2018, (Accepted/In press) Nonlinear systems and their remarkable mathematical structures. CRC Press

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Nonlinear PDE
Half line
Integrable Equation
Wikipedia
Evolution Equation
8 Downloads (Pure)

Nonlocal and multipoint boundary value problems for linear evolution equations

Pelloni, B. & Smith, D. A., Jul 2018, In : Studies in Applied Mathematics. 141, 1, p. 46-88

Research output: Contribution to journalArticle

Open Access
File
Nonlocal Boundary Value Problems
Multi-point Boundary Value Problem
Evolution Equation
Linear equation
Nonlocal Conditions
2016
33 Downloads (Pure)

Evolution PDEs and augmented eigenfunctions. Half-line

Pelloni, B. & Smith, D. A., 2016, In : Journal of Spectral Theory. 6, 1, p. 185–213 29 p.

Research output: Contribution to journalArticle

Open Access
File
Eigenfunctions
Half line
Transform
Initial-boundary-value Problem
Spectral Analysis
2015

Advances in the study of boundary value problems for nonlinear integrable PDEs

Pelloni, B., Feb 2015, In : Nonlinearity. 28, 2

Research output: Contribution to journalArticle

Boundary Value Problem
Transform
Inverse Scattering Transform
Separation of Variables
Appeal
2014

Non-steady state heat conduction in composite walls

Deconinck, B., Pelloni, B. & Shiels, N., May 2014, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 470, 2165, 22 p.

Research output: Contribution to journalArticle

Hot Temperature
Temperature
16 Downloads (Pure)

Solutions of the fully compressible semi-geostrophic system

Cullen, M. J. P., Gilbert, D. K. & Pelloni, B., 2014, In : Communications in Partial Differential Equations. 39, 4, p. 591-625 35 p.

Research output: Contribution to journalArticle

Open Access
File
Optimal Transport
Existence of Weak Solutions
Probability Measure
Formulation
Alternatives

The elliptic sine-Gordon equation - a nonlinear elliptic integrable PDE

Pelloni, B., 2014, Stock Image Unified Transform for Boundary Value Problems: Applications and Advances. Fockas, A. S. & Pelloni, B. (eds.). SIAM, p. 73-90 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Sine-Gordon Equation
Elliptic Equations
Lax Pair
Boundary Value Problem
Boundary conditions
2013

Boundary value problems for the elliptic sine-Gordon equation in a semi-strip

Fokas, A. S., Lenells, J. & Pelloni, B., Apr 2013, In : Journal of Nonlinear Science. 23, 2, p. 241-282 42 p.

Research output: Contribution to journalArticle

Riemann-Hilbert Problem
Sine-Gordon Equation
Elliptic Equations
Strip
Boundary Value Problem

Spectral theory of some non-selfadjoint linear differential operators

Pelloni, B. & Smith, D. A., Jun 2013, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 469, 2154, 21 p., 20130019.

Research output: Contribution to journalArticle

Linear Differential Operator
Spectral Theory
Operator
Spectral Properties
Unique Solution
2012

Generalised Dirichelt-to-Neumann map in time dependent domains

Pelloni, B. & Fokas, A. S., Jul 2012, In : Studies in Applied Mathematics. 129, 1, p. 51-90 40 p.

Research output: Contribution to journalArticle

Weakly Singular Kernel
Volterra Integral Equations
KdV Equation
Boundary Value
Linear equation

The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation

Fokas, A. S. & Pelloni, B., Apr 2012, In : Nonlinearity. 25, 4, p. 1011-1031 21 p.

Research output: Contribution to journalArticle

Dirichlet-to-Neumann Map
Sine-Gordon Equation
Elliptic Equations
Express
Elliptic PDE
2010

Moving boundary value problems for the wave equation

Pelloni, B. & Pinotsis, D., 15 Jul 2010, In : Journal of Computational and Applied Mathematics. 234, 6, p. 1685-1691 7 p.

Research output: Contribution to journalArticle

Moving Boundary
Wave equation
Boundary Value Problem
Hyperbolic PDEs
Nonlinear PDE

The elliptic sine-Gordon equation in a half plane

Pelloni, B. & Pinotsis, D., Jan 2010, In : Nonlinearity. 23, 1, p. 77-88 12 p.

Research output: Contribution to journalArticle

Sine-Gordon Equation
Half-plane
Elliptic Equations
Inverse Scattering Transform
Nonlinear Constraints
2009

Boundary value problems for the N-wave interaction equations

Pelloni, B. & Pinotsis, D., 11 May 2009, In : Physics Letters A. 373, 22, p. 1940-1950 11 p.

Research output: Contribution to journalArticle

Riemann-Hilbert Problem
Wave Interaction
Boundary Value Problem
Nonlocal Problems
Lax Pair

Spectral analysis of the elliptic sine-Gordon equation in the quarter plane

Pelloni, B., Jul 2009, In : Theoretical and Mathematical Physics. 160, 1, p. 1031-1041 11 p.

Research output: Contribution to journalArticle

Inverse Scattering Transform
Riemann-Hilbert Problem
Sine-Gordon Equation
Spectral Analysis
Elliptic Problems
2008

Boundary value problems for third-order linear PDEs in time-dependent domains

Pelloni, B., Feb 2008, In : Inverse Problems. 24, 1, 015004.

Research output: Contribution to journalArticle

Boundary Value Problem
Methodology
Generalise
Moving Boundary
Inversion Formula

The Klein–Gordon Equation in a Domain with Time-Dependent Boundary

Pelloni, B. & Pinotsis, D. A., Oct 2008, In : Studies in Applied Mathematics. 121, 3, p. 291-312 22 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Boundary Value Problem
Generalized Fourier Transform
Transform
Dirichlet Boundary Value Problem

The Klein-Gordon Equation on the Half Line: a Riemann-Hilbert Approach

Pelloni, B. & Pinotsis, D. A., 2008, In : Journal of Nonlinear Mathematical Physics. 15, Supplement 3, p. 334-336 3 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Hilbert
Half line
Boundary Value Problem
Sine-Gordon Equation
2007

Generalized Dirichlet to Neumann map for moving initial-boundary value problems

Fokas, A. S. & Pelloni, B., Jan 2007, In : Journal of Mathematical Physics. 48, 1, 013502.

Research output: Contribution to journalArticle

Dirichlet-to-Neumann Map
Boundary Value
Initial-boundary-value Problem
Dirichlet
Initial conditions
2006
Fourier Analysis
2005

A transform method for linear evolution PDEs on a finite interval

Fokas, A. S. & Pelloni, B., Aug 2005, In : IMA Journal of Applied Mathematics. 70, 4, p. 564-587 24 p.

Research output: Contribution to journalArticle

Infinite series
Initial-boundary-value Problem
Transform
Interval
KdV Equation

Boundary value problems

Pelloni, B., 2005, Encyclopedia of Nonlinear Science. Scott, A. (ed.). Routledge, p. 72-74 3 p.

Research output: Chapter in Book/Report/Conference proceedingEntry for encyclopedia/dictionary

Boundary Value Problems for Boussinesq Type Systems

Fokas, A. S. & Pelloni, B., Feb 2005, In : Mathematical Physics, Analysis and Geometry. 8, 1, p. 59-96 38 p.

Research output: Contribution to journalArticle

Boussinesq System
Type Systems
Boundary Value Problem
Linearly
Boundary conditions

Burgers equation

Pelloni, B., 2005, Encyclopedia of Nonlinear Science. Scott, A. (ed.). Routledge, p. 82-84 3 p.

Research output: Chapter in Book/Report/Conference proceedingEntry for encyclopedia/dictionary

Localised coherent solutions of the DSI and DSII equations - a numerical study

McConnell, M., Fokas, A. S. & Pelloni, B., 5 Aug 2005, In : Mathematics and Computers in Simulation. 69, 5-6, p. 424-438 15 p.

Research output: Contribution to journalArticle

Numerical Study
Global Existence
Existence Results
Integrable Equation
Blow-up Solution
Sine-Gordon Equation
Asymptotic Behavior
Boundary Value Problem
Transform
Interval
Spectral Representation
Two-point Boundary Value Problem
Series Representation
Partial differential equation
Integral Representation
2004
Smooth Solution
Unique Solution
Evolution Equation
Linear equation
Boundary Value Problem
2003

Linear and nonlinear waves on a finite interval

Pelloni, B., Apr 2003, Nonlinear Physics: Theory and Experiment II. Ablowitz, M. J., Boiti, M. & Pempinelli, F. (eds.). World Scientific Publishing, p. 287-294 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

pulse detonation engines
intervals
boundary conditions
water waves
waveforms

The propagation of nonlinear water waves in a bounded domain

Pelloni, B., 2003, Mathematical and Numerical Aspects of Wave Propagation WAVES 2003: Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation Held at Jyväskylä, Finland, 30 June – 4 July 2003. Springer, p. 711-716 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Discrete Spectrum
Water Waves
Nonlinear Waves
Bounded Domain
Propagation
2002

Well-Posed Boundary Value Problems for Integrable Evolution Equations on a Finite Interval

Pelloni, B., Nov 2002, In : Theoretical and Mathematical Physics. 133, 2, p. 1598-1606 9 p.

Research output: Contribution to journalArticle

Integrable Equation
Evolution Equation
Boundary Value Problem
Interval
Nonlinear Evolution Equations
2001
Dispersive Equations
Error Estimates
Wave equation
Spectral Galerkin Method
Second-order Accuracy

Integrable evolution equations in time-dependent domains

Fokas, A. S. & Pelloni, B., Aug 2001, In : Inverse Problems. 17, 4, p. 919-935 17 p.

Research output: Contribution to journalArticle

Integrable Equation
Evolution Equation
Derivative
Smooth function
Monotonic

Numerical modelling of two-way propagation of non-linear dispersive waves

Pelloni, B. & Dougalis, V. A., 15 Mar 2001, In : Mathematics and Computers in Simulation. 55, 4-6, p. 595-606 12 p.

Research output: Contribution to journalArticle

Numerical Modeling
Propagation
Water Waves
Spectral Methods
Solitary Waves

Two-point boundary value problems for linear evolution equations

Fokas, A. S. & Pelloni, B., Nov 2001, In : Mathematical Proceedings of the Cambridge Philosophical Society. 131, 3, p. 521-543 23 p.

Research output: Contribution to journalArticle

Two-point Boundary Value Problem
Evolution Equation
Linear equation
Well-posed Problem
Argand diagram
2000

Initial boundary value problems for the nonlinear Schrödinger equation

Pelloni, B., Jan 2000, In : Theoretical and Mathematical Physics. 122, 1, p. 107-120 14 p.

Research output: Contribution to journalArticle

Initial-boundary-value Problem
Nonlinear Equations
Riemann-Hilbert Problem
Spectral Methods
Nonlinear Partial Differential Equations

Integral transforms, spectral representation and the d-bar prolem

Fokas, A. S. & Pelloni, B., Apr 2000, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 456, 1996, p. 805-833 29 p.

Research output: Contribution to journalArticle

Spectral Representation
Integral Transform
Differential operator
Dispersive Equations
Linear Differential Operator

Method for Solving Moving Boundary Value Problems for Linear Evolution Equations

Fokas, A. S. & Pelloni, B., May 2000, In : Physical Review Letters. 84, 21, p. 4785-4789 5 p.

Research output: Contribution to journalArticle

Moving Boundary
Evolution Equation
Linear equation
Boundary Value Problem
Volterra

Numerical Solution of Some Nonlocal, Nonlinear Dispersive Wave Equations

Pelloni, B. & Dougalis, V. A., Feb 2000, In : Journal of Nonlinear Science. 10, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

Dispersive Equations
Wave equation
Numerical Solution
Solitary Waves
Integrable Equation
1998

Ocean acoustic models for low frequency propagation in 2D and 3D environments

Papadakis, J. S., Dougalis, V. A., Kampanis, N. A., Flouri, E. T., Pelloni, B., Plaisant, A., Noutary, E., Bjorno, N., Nielsen, P. & Zhou, D., Nov 1998, In : Acta Acustica united with Acustica. 84, 6, p. 1031-1041 11 p.

Research output: Contribution to journalArticle

oceans
low frequencies
propagation
acoustics
topography
KdV Equation
Initial-boundary-value Problem
Spectral Methods
Wedge
Integral Representation