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Faculty & Staff

Konstantin A. Lurie

Publications

Peer-Reviewed (Refereed) Journal Articles

• Dynamic materials with formation of clots: application to optimal mass transport in one spatial dimension without takeover, Preprint MS-6-22-43, Worcester Polytechnic Institute, 2009.  Submitted to ZAMM.

• Mathematical analysis of the wave propagation through a rectangular material structure in space-time (D. Onofrei and S. L. Weekes, coauthors).  Journal Math. Anal. and Appl., v. 355, pp. 180-194, 2009.
  

• On homogenization of activated laminates in 1D-space and time, Zeitschrift f. Angew. Math. u. Mech. (ZAMM), vol. 89, No. 4, pp. 333-340, 2009.
  

• An introduction to the mathematical theory of dynamic materials, xviii+ 181 pp. Springer Series Advances in Mechanics and Mathematics, vol, 15, 2007.
  

• Wave propagation and energy exchange in a spatio-temporal material composite with rectangular microstructure (S. L. Weekes, coauthor).  Journal Math. Anal. and Appl., v. 314, pp. 286-310, 2006.
  

• Effective and averaged energy densities in one dimensional wave propagation through spatio-temporal dielectric laminates with negative effective values of epsilon and mu (S. L. Weekes, coauthor).  In "Nonlinear Analysis and Applications," R. P. Agarwal and D. O'Regan, eds., Kluwer, pp. 767-789, 2004.
  

• A stable spatio-temporal G-closure and Gm-closure of a set of isotropic dielectrics with respect to one-dimensional wave propagation.  Wave Motion, v. 40, No. 2, pp. 95-110, 2004.

• Some new advances in the theory of dynamic materials.  Paper presented at USNCAM14, Fourteenth U.S. National Congress of Applied Mechanics, Blacksburg, Virginia, June 2002.  Journal of Elasticity, v. 72, pp. 229-239, 2003.
  

• Control over electric field in traveling wave applicators (V. Yakovlev, coauthor), Journal of Engineering Mathematics, vol. 44, pp. 107-123, 2002.

• Optimization of electric field in rectangular waveguide with lossy layer (V. Yakovlev, coauthor), IEEE Transaction on Magnetics, vol. 36, pp. 1094-1097, July 2000.

• Low frequency longitudinal vibrations of an elastic bar made of a dynamic material and excited at one end, Journal Math. Anal. and Appl., v. 251, pp. 364-375, 2000.

• On dynamic materials (I. I. Blekhman, coauthor).  Proceedings of the Russian Academy of Sciences (Doklady), vol. 171, No. 1, pp. 1-5, 2000.
  

• Bounds for the electromagnetic material properties of a spatio-temporal dielectric polycrystal with respect to one-dimensional wave propagation. Proc. Roy. Soc. London, ser. A, v. 456, pp. 1547-1557, 2000.

• Method of control and optimization of microwave heating in waveguide systems (V. Yakovlev, coauthor), IEEE Transactions on Magnetics, vol. 35, pp. 1777-1780, May 1999.

• G-closures of material sets in space-time and perspectives of dynamic control in the coefficients of linear hyperbolic equations, Journal of Control and Cybernetics, v. 27, No. 2, pp. 283-294, 1998.

• The problem of effective parameters of a mixture of two isotropic dielectrics distributed in space-time and the conservation law for wave impedance in one-dimensional wave propagation, Proc. Roy. Soc. Lond., ser. A, v. 454, pp. 1767-1779, 1998.

• Spatio-temporal control in the coefficients of linear hyperbolic equations, - in "Optimization Methods in Partial Differential Equations," Proceedings from the 1996 Joint Summer Research Conference on Optimization Methods in PDE's, I. Lasiecka and S. Cox editors, AMS publication, pp. 177-182, 1997.
  

• Effective properties of smart elastic laminates and the screening phenomenon, International Journal of Solids and Structures, v. 34, No. 13, pp. 1633-1643, 1997.

• Effective characteristics of composite materials and the optimal design of structural elements (with A. Cherkaev), - in "Topics in the Mathematical Modelling of Composite Materials," A. Cherkaev and R. Kohn, eds., pp. 175-253, Birkhauser, 1997.
  

• Load characteristics of a mhd channel in the case of optimal distribution of the resistivity of the working medium (with T. Yu. Simkina), - in Topics in the Mathematical Modelling of Composite Materials," A. Cherkaev and R. Kohn, eds., pp. 259-271, Birkhauser, 1997.
  

• An optimal plate, - in Proceedings of the First World Congress of Structural and Multidisciplinary Optimization, Goslar, Germany, May 1995, Pergamon, 1995, pp. 169-176.
  

• On direct relaxation of optimal material design problems for plates, - in "Recent Trends in Optimization Theory and Applications," World Scientific Publishing Company, 1995.

• Relaxation of non-self adjoint problems of optimal material layout, - in Proceedings of the Second Workshop on Composite Media and Homogenization Theory, G. Dal Maso and G. Dell'Antonio eds., pp. 229-239, World Scientific, 1995.
  

• Direct relaxation of optimal layout problems for plates, Journal of Optimization Theory and Applications, Vol. 80, No. 1, 93-116, 1994.

• Direct solution of an optimal layout problem for isotropic and anisotropic heat conductors on a plane, Journal of Optimization Theory and Applications, v. 72, No. 3, 553-575, 1992.

• Direct solution of an optimal layout problem for isotropic heat conductors in three dimensions (R. Lipton, coauthor), "Theoretical Aspects of Industrial Design," ed. by Vadim Komkov and David A. Field, SIAM publ., 1-11, 1992.

• Invariant properties of the stress in plane elasticity and equivalence classes of composites (A. Cherkaev and G. Milton coauthors), Proc. Roy. soc. London, Ser. A, vol. 438, No. 1904, pp. 519-529, 1992.

• On a general concept in optimal material layout, Lectures in Applied Mathematics, SIAM, 301-321, 1991.
  

• The extension of the optimization problem containing controls in the coefficients, Proc. Roy. Soc. of Edinburgh, 144A, 81-97, 1990.

• On the effective conductivity of polycrystals and a three-dimensional phase-interchange inequality (with M. Avellaneda, A. V. Cherkaev and G. W. Milton), J. Appl. Physics, 63 (10), 15 May 1988.

• On a certain variational problem of phase equilibrium (with A. V. Cherkaev), in "Material Instabilities in Continuum Mechanics and Related Mathematical Problems," ed. by J. Ball, Clarendon Press, Oxford, 1988, pp. 257-268.
  

Book Chapters

• Control in the coefficients of linear hyperbolic equations via spatio-temporal composites, in Homogenization, V. Berdichevsky, V. Jikov, G. Papanicolacu, eds., World Scientific, pp. 285-315, 1999.

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