Beatrice Pelloni Professor of  Mathematics Head of Department (Research) Department of Mathematics and Statistics University of Reading Room 210, Maths Bulding Telephone No. : +44 118 378 8990 E-Mail Address : b.pelloni@reading.ac.uk

 

 

Research Interests

• Boundary value problems for linear and nonlinear PDE's 
• Riemann-Hilbert problems
• Integral transforms (see the Unified Transform Method Gateway)
• Integrable systems
• Mathematical models of geophysical flows

           

Upcoming Events:

LMS/EPSRC Course on Modern Methods in Nonlinear Analysis, Reading July 8-12 2012

Newton Institute Programme “Mathematics of the Fluid Earth”, Cambridge, October-December 2013

Postgraduate students

• Malachy McConnell (MSc 2002)
• Davinia Chilton (PhD 2006)
• Sanita Vetra  (MSc 2007)
• David Smith (PhD 2011)
• David Gilbert (PhD 2012)
• Nicolas Wehrning (PhD start: Sept 2011)

 

Selected publications

• Lagrangian solution of the fully compressible semigeostrophic system in physical space, with M.Cullen and D.K. Gilbert, submitted to Comm. in PDEs
• Spectral Theory of some non-selfadjoint linear differential operators, with D.A. Smith, submitted to J Spectral Theory
• The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation, with A.S. Fokas, Nonlinearity (accepted)
• Generalised Dirichlet-to-Neumann map in time-dependent domains, with A.S. Fokas, Stud. Appl. Math. (accepted)
• The elliptic sine-Gordon equation in a semi-strip,  with A.S. Fokas,  J Nonlin Sci (accepted)(pdf)
• The elliptic sine-Gordon equation in a half plane,  with D.A. Pinotsis,  Nonlinearity 23 (2010) 77-88. (pdf)
• Spectral analysis of the elliptic sine-Gordon equation in a quarter plane,    Theor. Math.. Phys. (2009)  160(1), 1031-1041 (pdf)
• Boundary value problems for the N-wave interaction equations,  with D.A. Pinotsis,  Phys. Lett. A, (2009) 373, 1940-1950(pdf)
• The Klein-Gordon equation in a domain with time-dependent boundary,  with D.A. Pinotsis,  Stud. Appl. Math. (2008)  121, 291-312(pdf)
• Moving boundary value problems for the wave equation, with D.A. Pinotsis, J. Comp. Appl. Math.,   Proceedings of Waves2007,  (in press)
• The Klein-Gordon equation on the half  line: a Riemann-Hilbert approach, with D.A. Pinotsis, J. Nonl. Math. Phys,  15 (2008), 334-344
• Boundary value problems for third order linear PDEs in time dependent domains, Inv. Prob. (2008) 24, 015004 (19pp) (pdf)
• A generalised Dirichlet to Neumann map for moving boundary value problems, with A.S. Fokas, J. Math. Phys. (2007)  48, 013502 (pdf)
• Linear and nonlinear generalised Fourier transforms, Phil. Trans. A, special triennal issue (2006), 364, 1834 (e-offprint)
• The spectral representation of two-point boundary value problems for linear evolution equations, Proc. Roy. Soc. Lond. A (2005)461, 2965-2984 (pdf)
• The asymptotic behaviour of the solution of boundary value problems for the sine-Gordon equation on a finite interval, J. Nonl. Math. Phys. (2005) 12(4) (pdf)
• Localised coherent soluitons of DSI and DSII - a numerical study, with M. McConnell and A.S. Fokas, J. Math. Comp. Simul. (2005) 69 , 424-438 (pdf)
• A transform method for linear evolution PDEs on a finite interval, with A.S. Fokas, IMA J. Appl. Math. (2005) 70 , 1-24 (pdf)
• Boundary value problems for Boussinesq type systems , with A.S. Fokas, Math. Phys. Anal. Geom. (2005) 8 , 59-96 (also at www.kluweronline.com/issn/1385-0172)

 

 

 

 

Send an e-mail: b.pelloni@reading.ac.uk