Professor Valery P. Smyshlyaev

Department of Mathematical Sciences

Job Title:	Professor of Mathematics
Room Number:	1W 3.18
Telephone:	+44 1225 386197
Internal Number:	6197
Fax:	+44 1225 386492
Email:	V.P.Smyshlyaev at maths.bath.ac.uk
Postal Address:	University of Bath
	Department of Mathematical Sciences,
	Bath,
	BA2 7AY,
	United Kingdom

Teaching:
- MA30044/40044/50181: Mathematical Methods -I
- MA50190: Advanced Mathematical Methods

Bath Institute for Complex Systems (BICS) BICS Conference: Multi-scale problems: modelling, analysis and applications, 12th-14th September 2005

Bath-Reading EPSRC funded Research Project: Boundary Integral Equation Methods for High Frequency Scattering Problems

Research Interests:

Homogenisation theory, multiscale analysis and applications to problems with multiple scales, mechanics of composites and metamaterials, diffraction and high-frequency asymptotics.

Editorials:

Associate Editor of SIAM Journal on Mathematical Analysis (SIMA)

Awards:

Whitehead Prize of London Mathematical Society (2001): Citation

Selected Recent Publications:

M. Palombaro, V.P. Smyshlyaev, 2008. Relaxation of three solenoidal wells and characterization of three phase H-measures, Archive for Rational Mechanics and Analysis, in press.
V.P. Smyshlyaev, 2008. Propagation and localization of elastic waves in highly anisotropic composites via homogenization, Mechanics of Materials, invited article for special issue in honour of Prof. G. Milton, in press.
Z. Abdessamad, I. Kostin, G. Panasenko, V.P. Smyshlyaev, 2008. Memory Effect in Homogenization of Viscoelastic Kelvin-Voigt Model with time dependent coefficients. Mathematical Models and Methods in Applied Sciences, accepted.
N.O. Babych, I.V. Kamotski, V.P. Smyshlyaev, 2008. Homogenization in periodic media with doubly high contrasts. Networks and Heterogeneous Media , 3 (3), 413-436. (copyright AIMS 2008)
I.V. Kamotski, V.P. Smyshlyaev, 2006. Localised eigenstates due to defects in high contrast periodic media via homogenisation. Submitted for publication.
N.Y. Zhu, M.A. Lyalinov, V.P. Smyshlyaev. Scattering of a plane electromagnetic wave by a circular hollow cone with thin semi-transparent walls. Submitted.
V. Dominguez, I.G. Graham, V.P. Smyshlyaev, 2007. A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Numerische Mathematik , 106 (3), 471-510. (copyright Springer 2007)
V. Kamotski, K. Matthies and V.P. Smyshlyaev, 2007. Exponential homogenisation of linear second order elliptic PDEs with periodic coefficients. SIAM Journ. Mathematical Analysis , 38 (5), 1565-1587. (copyright SIAM 2007)
Z. Abdessamad, I. Kostin, G. Panasenko, V.P. Smyshlyaev, 2007. Homogenization of thermo-viscoelastic Kelvin-Voigt model. Comptes Rendus Mecanique, 335 423-429. (copyright Elsevier)
Cherednichenko, K. D., Smyshlyaev, V. P., Zhikov, V. V., 2006. Non-local homogenised limits for composite media with highly anisotropic periodic fibres. Proceedings of the Royal Society of Edinburgh: Section A, 136 (1), 87-114. (copyright The Royal Society of Edinburgh 2006)
B.D. Bonner. I.G.Graham and V.P.Smyshlyaev, 2005 The computation of conical diffraction coefficients in high-frequency acoustic wave scattering, SIAM Journ. Numerical Analysis, 43(3), 1202-1230. (copyright SIAM 2005)
V. M. Babich, D. B. Dement''ev, B. A. Samokish and V. P. Smyshlyaev, 2004. Scattering of High-Frequency Electromagnetic Waves by the Vertex of a Perfectly Conducting Cone (Singular Directions). Journal of Mathematical Sciences, 122(5), 3453-3458.
Cherednichenko, K. D., Smyshlyaev, V. P., 2004. On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems. Archive for Rational Mechanics and Analysis, 174(3), 385-442.
A. P. Kiselev and V. P. Smyshlyaev, 2003. The 70th birthday of V. M. Babich. Journal of Mathematical Sciences, 117(2), 3891-3894.
V. P. Smyshlyaev, V. M. Babich , D. B. Dement''ev, B. A. Samokish, 2002. Diffraction of creeping waves by conical points. In: IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity , Proceedings of the IUTAM Symposium held in Manchester, United Kingdom, 16-20 July 2000 Series: Fluid Mechanics and Its Applications, Vol. 68 Abrahams, I. D.; Martin, P. A.; Simon, M. J. (Eds.), Kluwer, Dordrecht; pp 179-187.
V. M. Babich, V.A. Borovikov, L.Ju. Fradkin, D. Gridin, V. Kamotski and V. P. Smyshlyaev, 2002. Diffraction coefficients for tilted surface-breaking cracks. In: IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity , Proceedings of the IUTAM Symposium held in Manchester, United Kingdom, 16-20 July 2000 Series: Fluid Mechanics and Its Applications, Vol. 68 Abrahams, I. D.; Martin, P. A.; Simon, M. J. (Eds.), Kluwer, Dordrecht; pp 209-216.
V. M. Babich , D. B. Dement''ev, B. A. Samokish and V. P. Smyshlyaev, 2002. Scattering of a High-Frequency Wave by the Vertex of an Arbitrary Cone (Singular Directions). Journal of Mathematical Sciences, 111(4), 3623-3631.
Smyshlyaev, V. P., Cherednichenko, K. D., 2000. On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. Journal of the Mechanics and Physics of Solids 48(6--7), 1325-1357.
V. M. Babich, D. B. Dement'ev, B. A. Samokish, V. P. Smyshlyaev 2000. On evaluation of the diffraction coefficients for arbitrary "nonsingular" directions of a smooth convex cone. SIAM Journal on Applied Mathematics 60(2), 536-573.
V. Nesi, V. P. Smyshlyaev, J. R. Willis 2000. Improved bounds for the yield stress of a model polycrystalline material. Journal of the Mechanics and Physics of Solids 48(9), 1799-1825.
V. P. Smyshlyaev, J. R. Willis 1999. On the relaxation of a three-well energy. Proceedings Royal Society London A 455(No 1983), 779 - 814.

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