PUBLICATION LIST of M.M. Lavrentiev, Jr.

Monographs

A.V.Avdeev, M.M.Lavrentiev, Jr., and V.I.Priimenko: Inverse Problems and Some Applications. Novosibirsk, ICM&MG, 1999, 342p.

T.I.Zelenyak, M.M.Lavrentiev, Jr., and M.P.Vishnevskii: Qualitative Theory of Parabolic Equations. Part I. VSP, Utrecht, the Netherlands, 1997, 420p.

**Publications**

M.M.Lavrentiev, Jr.: Gradient Blowing-Up Phenomena for Solutions to Parabolic Problems, In: Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, L.G.Vulkov ,J.J.H.Miller and G.I.Shishkin (Eds), 2000, Nova Science Publishers, Inc(USA), pp. 59-71.

T.A.Akramov, V.S.Belonosov, T.I.Zelenyak, M.M.Lavrentiev, Jr., M.G.Slin’ko, and V.S.Sheplev: Mathematical basis for chemical processes modeling. Survey, Theoretical Background for Chemical Technology, V.34, No. 3, 2000, pp.295-306.

M.M.Lavrentiev, Jr.: Large gradients of solutions to nonlinear parabolic problems (Invited lecture). Third Asian Math. Conf., 23-27 October 2000, Manila, Philippines. Conf. Manual, pp. 28-29.

M.M.Lavrentiev, Jr. and R.Spigler: Existence and uniqueness of solutions to the Kuramoto-Sakaguchi nonlinear parabolic integrodifferential equation, Differential Integral Equations, V.13, 2000, No.4-6, pđ.622-632.

V.S.Bartosh and M.M.Lavrentiev, Jr.: Real time vechicle dynamical model, Autometry, No. 4, 2000, pp. 108-115.

N.A.Elykov, I.V.Belago, M.M.Lavrentiev, Jr., and Yu.Yu.Nekrasov: Real time sea surface generation. Proceedings of 10-th international conf. GRAFICON2000, Aug. 28 – Sept. 2 2000, Moscow, Russia, pp. 268-275.

A.V.Avdeev, E.V.Goryunov, M.M.Lavrentiev, Jr., and R.Spigler: Dynamics of the coastal profile evolution: backgroud analysis and applications, Distributed Systems: Op-timization and Appl. Proc. International Conf., 30 May - 2 June, 2000, Ekaterinburg, Russia, pp.251-253.

M.M.Lavrentiev, Jr., P.Broadbridge, and G.Williams: Integrating nonlinear heat conduction equation with source term, Complex Analysis, Diff. Eq., and Related Topics. II. Diff. Equations. Proc. Int-nal Conf., May 2000, Ufa, Russia, pp. 198-205.

M.M.Lavrentiev, Jr., R.Spigler, and D.R.Akhmetov: Solvability to one ultraparabolic equation in the unbounded domain. Abstracts of 4-th congress INPRIM-2000, Novosibirsk, June 2000, Part 1, pp. 13-14.

A.V.Avdeev, E.V.Goryunov, M.M.Lavrentiev, Jr., and R.Spigler: Long term coastal profile modelling through synthetic and measured data. Abstracts of 4-th congress INPRIM-2000, Novosibirsk, June 2000, Part 3, pp. 3-4.

D.Akhmetov, M.M.Lavrentiev, Jr., and R.Spigler: A nonlinear integroparabolic Fokker-Planck equation with space-periodic solutions, Ill-Posed and Non-Classical Probl. of Math.Phys., Int. conf., Samarkand, Uzbekistan, September 11-15 2000, Abstr., pp. 1-2.

M.M.Lavrentiev, Jr., R.Spigler, and D.Akhmetov: Nonlinear integroparabolic equation with a small parameter: existence and uniform estimates of solution. Fifth International Conference: Lavrentyev readings on Mathematics, Mechanics, and Physics, Abstracts, September 18-22, 2000, Novosibirsk, Russia, pp.49-50.

P.M.Larionov and M.M.Lavrentiev, Jr.: Modern facilities of telemedicine. International conference-exhibition “New technologies 2000”, Yakutsk, April 2000, pp. 140-141.

P.Broadbridge, M.M.Lavrentiev, Jr., and G.Williams: Externally heated radiant plasma: background for numerical study, J. Math. Analysis and Applications, V.238, 1999, pp.353-368.

T.A.Akramov, T.I.Zelenyak, M.M.Lavrentiev, Jr., M.G.Slin’ko, and V.S.Sheplev: Mathematical basis for chemical processes modelling, Preprint No.67 of the Sobolev Institute for Mathematics, Novosibirsk, December 1999, 24 p.

D.R.Akhmetov, M.M.Lavrentiev, Jr., and R.Spigler: Adaptive Frequency Model for Nonlinear Integrodifferential Parabolic Equation. Math. Models and Methods for Their Study. Abstracts of Internatinal Conf., August 18-24, 1999, Krasnoyarsk, pp.224-225.

M.M.Lavrentiev, Jr.: “Gradient Blowing-Up” Solutions to Parabolic Problems: Examples and Available Solvability Results. Preprint No. 3.99, School of Math. and Applied Stat. University of Wollongong, Wollongong, Australia, 1999, 27 p.

M.M.Lavrentiev, Jr.: Some Methods of the Qualitative Theory of Parabolic Problems and Their Applications. 7

^{th}Intern. Workshop of the Physics of Compressible Turbnulent Mixing, Book of Abstracts, St.Petersburg, Russia, July 5-9, 1999, p.45.M.M.Lavrentiev, Jr. and R.Spigler: The Kuramoto-Sakaguchi Nonlinear Parabolic Integrodifferential Equation. Partial Differential Equations: Theory and Numerical Solution. Ed. W.Jager et al., Chapman&Hall/CRC No.406, 2000, pp.248-253.

A.Avdeev, M.M.Lavrentiev, Jr., and K.Simonov: Studying of sea natural disasters by the methods of inverse problems. Inverse problems of Math. Physics, Int. Conf., September, 21-25, 1998, Novosibirsk, Russia. Abstracts, p.3.

M.M.Lavrentiev, Jr.: Large Gradients of Solutions to Parabolic Problems (Invited lecture). Workshop on Anal./Comp. Methods for Singularly Perturbed Problems, August, 27-31, 1998, Lozenetz, Bulgaria. Abstracts, pp.18-19.

M.M.Lavrentiev, Jr.: Gradient blowing-Up Solutions to Parabolic Problems. Venice-2 Symposium on Applied and Industrial Mathematics, June 11-16, 1998, Venice, Italy; Book of Abstracts.

M.M.Lavrentiev, Jr.: Large time behavior of solutions to parabolic problems in "Variational Form", which possess "Derivative Blowing-Up” solutions (Key sectional lecture). Int. Conf. for 90th Anniversary of L.S.Pontryagin, August, 31 - September, 6, 1998, Moscow, Russia; Abstracts: Diff. Eq., pp. 68-70.

M.M.Lavrentiev, Jr.: Derivative Blowing-Up Solutions to Parabolic Problems. 5th Zababakhin Scientific Talks, September, 21-25, 1998, Snezhinsk, Russia; Abstracts, p.128.

M.M.Lavrentiev, Jr. and N.A.Lyulk: Increasing of Smoothness of Solutions to Some Hyperbolic Problems. Sib. Mat. Zhurn., 1997, v.38, no.1, pp.109-124 (in Russian).

P.Broadbridge, M.M.Lavrentiev, Jr., and V.Belov: Boundary value problems for strongly degenerate parabolic equations. Comm. in PDE, 1997, v.22, no.1&2, pp.17-38.

P.Broadbridge, M.M.Lavrentiev, Jr., and J.Goard: Degenerate nonlinear diffusion with an initially sharp front. Studies in Appl. Mathematics, 1997, v.99 pp.377-391.

M.G.Slinko, T.I.Zelenyak, T.A. Akramov, M.M.Lavrentiev, Jr., and V.S.Sheplev: Problems to nonlinear dynamics for catalyst reactions (survey). Math. Modelling, 1997, v.9, no.2 (In Russian).

M.M.Lavrentiev, Jr.: Nonlinear Parabolic Problems Possessing Solutions with Unbounded Gradients. IMA Preprint Series no.1385, March 1996, 21p.

M.M.Lavrentiev, Jr.: Lyapunov functionals for Nonlinear Parabolic Equations. Recent Advances in PDE and Applications. Book of Abstracts, Venice, Italy, 1996.

V.P.Gaevoi, E.I.Ivanov, M.M.Lavrentiev, Jr., and T.I.Zelenyak: Simplified Model of Fluidized Bed Char Combustion Process. Math. Modeling, 1996, v.8, no.10, pp.71-82 (in Russian).

V.Belov and M.M.Lavrentiev, Jr.: One inverse problem for the heat equation. Journal of Inverse and Ill-Posed Problems, 1996, v.4, no.6.

M.M.Lavrentiev, Jr.: Solutions to differential equations via Lyapunov functionals. Prague Mathematical Conference 1996.Programme and Abstracts. Prague, Czech Republic, July 8-12, 1996.

M.M.Lavrentiev, Jr.: Some parabolic equations with strong degeneration. Prague Mathematical Conference 1996. Programme and Abstracts. Prague, Czech Republic, July 8-12, 1996.

M.M.Lavrentiev, Jr.: Solutions to differential equations via Lyapunov functionals. Prague Mathematical Conference 1996. Proc. Prague, Czech Republic, July 8-12, 1996, pp.147-152.

M.M.Lavrentiev, Jr.: Strong a priori estimates of solutions to equations of variable type. In book: Differential Equation Theory, ed. A.M.Blokhin, Nova Science Publishers, Inc., 1996, New-York.

E.B.Vavrzhin, T.I.Zelenyak, G.G.Isaeva, M.M.Lavrentiev, Jr., M.G. Slinko, and V.S.Sheplev: Hardware-Software Complex to Prepare Specialists in Chemical Technology. In: Informational Technologies in Education, no.12, Novosibirsk 1995 (in Russian).

M.P.Vishnevsky, T.I.Zelenyak, and M.M.Lavrentiev, Jr.: Behavior of Solutions to Parabolic Equations for the Large Time. Sib. Mat. Zhurn., 36, no. 3, 1995.

P.Broadbridge, M.M.Lavrentiev, Jr., and V.Belov: Boundary value problems for strongly degenerate parabolic equations. University of Wollongong, Department of Mathematics, Preprint No.12/1995, Wollongong, Australia.

M.M.Lavrentiev, Jr.: Solution to parabolic equation via Lyapunov functionals. University of Wollongong, Department of Mathematics, Preprint No. 18/1995, Wollongong, Australia.

M.M.Lavrentiev, Jr. and V.Belov: An applied problem, related to Layered media. University of Wollongong, Department of Mathematics, Preprint No. 19/1995, Wollongong, Australia.

M.M.Lavrentiev, Jr. and V.I.Priimenko: Simultaneous Determination of elastic and electromagnetic medium parameters. In: Computerized Tomography. Proc. of the Fourth Int. Sypmos. Novosibirsk, August 1993. Ed.M.M.Lavrent'ev, VSP Utrecht, 1995.

P.Broadbridge, M.M.Lavrentiev, Jr., and V.Belov: Regularity of solutions to the mixed problems for a number of equations with strong degenerates. Abstracts of the Siberian Conf. on Nonclassical Equations of Math. Physics, Novosibirsk, 1995.

M.M.Lavrentiev, Jr.: Solvability of the boundary-value problems for the non-linear parabolic equations. Sib. Mat. Zhurn., 1993, V. 34, no.6.

M.M.Lavrentiev, Jr.: Lyapunov functionals and solvability of nonlinear parabolic equations. Doctor of Phys./Math. Thezis. Novosibirsk, 1993.

M.M.Lavrentiev, Jr.: Estimate of the Solution of a Variable-Type Equation. Math. Model., Computations Exp. 1993, V. 1, no.3.

E.B.Vavrzhin, T.I.Zelenyak, G.G. Isaeva, M.M.Lavrentiev, Jr., and V.S. Sheplev: Mathematical Modeling. Working place for chemical technologist. 1993, preprint of the Novosibirsk State Univ. (in Russian).

M.M.Lavrentiev, Jr.: Lyapunov functionals for a number of non-linear equations. Math. Modeling and Apl.Math., Elsevier Sc.Publ. B.V. 1992, IMACS.

M.M.Lavrentiev, Jr.: On a nonlinear parabolic equations without Bernstein conditions. Abstracts of the conference "Ill posed problems of math. physics and analisys", Novosibirsk, 1992 (in Russian).

M.M.Lavrentiev, Jr.: The first derivatives solutions to the number of non-linear parabolic equations. Abstracts of the conference dedicated to 200 aniv. of N. Lobachevski, Odessa, 1992 (in Russian).

M.M.Lavrentiev, Jr.: Solvability of a number of non-classical parabolic equations. Abstracts of the conference on the free boundary problems, Krasnojarsk, 1992 (in Russian).

M.M.Lavrentiev, Jr.: Strong a priori estimates of solutions to equations of variable type. Siberian J. Differential Equations, 1992, 1, no. 2.

M.M.Lavrentiev, Jr.: About one method solving the inverse problems for layered media. Ill-Posed Problems in Natural Sciences: Proc. of The International Conference/ eds.:A.N.Tikhonov et al. Utrecht: VSP/Moscow:TVP Sci.Publ., 1992.

M.M.Lavrentiev, Jr.: Estimation of a leading derivative for some non-linear parabolic equations. Sib. Math. J., 1991, 32, no.1.

M.M.Lavrentiev, Jr.: On the equations of a changing type. Abstracts of Intern. Conference FreeBoundary Problems in Continuum Mechanics. Novosibirsk, 1991.

M.M.Lavrentiev, Jr.: On a reconstruction of piecewise constant coefficient of wave equation. Doklady Ak. Nauk SSSR, 1991,317, no.5 (in Russian).

M.M.Lavrentiev, Jr.: Recurrent algorithm for the solution of the inverse problem. In: Ill-posed problems. Abstracts of the International Conference, Moscow, 1991.

M.M.Lavrentiev, Jr.: An inverse problem for a wave equation. Siberian Math. J. 1992, 33, no.3 (in Russian).

M.M.Lavrentiev, Jr.: One inverse problem for a wave equation with piecewise constant coefficient. Calcolo (Italy) 1991, 28, no.3-4.

T.I.Zelenyak, M.M.Lavrentiev,Jr., M.A.Sychev: Lavrentiev effect and a smoothness of solutions of variational problems. Bull. of Siberian Math. Soc., 2, Novosibirsk, 1990 (in Russian).

M.M.Lavrentiev, Jr.: Two-parametric optimization for solving one inverse problem. In: Abstracts of Soviet-Italian seminar Incorrect and ill-posed problems in math. physics and analysis, Samarkand, 1990.

M.M.Lavrentiev, Jr.: A priori smoothness of solutions of a number of changing type equations. Matematicheskoe modelirovanie, 1990, 2, no.9 (in Russian).

M.M.Lavrentiev,Jr. and V.V.Skazka: Lectures on Calculus, 3 semestr. Novosibirsk State University, Novosibirsk, 1989 (in Russian).

M.M.Lavrentiev, Jr.: About smoothness of solutions of a number of changing type equations. Abstracts of 7 Soviet school on qualitative theory of differential equations. Barnaul, 1989 (in Russian).

M.M.Lavrentiev,Jr.: Estimation of a leading derivative for non-linear parabolic equation. Abstracts of 4 International Conference on Differential Equations and Applications. Russe, Bulgaria, 1989.

M.M.Lavrentiev, Jr.: Estimations of solutions of one changing type equation. Matematicheskoe modelirovanie, 1989, 1, no.11 (in Russian).

M.M.Lavrentiev, Jr.: Estimation of a leading derivative for a number of equations with strong non-linearities. In: Boundary problems for non classical equations of mathematical physics. Novosibirsk, 1989 (in Russian).

M.M.Lavrentiev,Jr. and V.V.Skazka: Lectures on Calculus, 1 semestr. Novosibirsk State University, Novosibirsk, 1988 (in Russian).

M.M.Lavrentiev,Jr. and V.V.Skazka: Lectures on Calculus, 2 semestr. Novosibirsk State University, Novosibirsk, 1988 (in Russian).

M.M.Lavrentiev, Jr.: On a solvability of boundary problems for some parabolic equations with degenerates. Sib. Math.J., 1987, 28, no. 2.

T.I.Zelenyak and M.M.Lavrentiev, Jr.: On a priori estimations of solutions of parabolic equations. In.: Applying of functional methods and theory of functions methods for problems of mathematical physics. Abstracts of 9 Soviet-Chekh symposium, Donetsk, 1986 (in Russian).

T.I.Zelenyak and M.M.Lavrentiev, Jr.: On one class of asymptotic normal parabolic equations. In: Ill-posed problems of mathematical physics and analysis. Novosibirsk, Nauka, 1984 (in Russian).

M.M.Lavrentiev, Jr.: About stabilization as t goes to infinity of solutions of non-autonomic problems for parabolic equations. Proc. of S.L. Sobolev seminars, 1, Novosibirsk, 1984 (in Russian).

V.S.Belonosov, M.P.Vishnevskii, M.M.Lavrentiev, Jr., and T.I.Zelenyak: On qualitative properties of solutions of the parabolic equations. Reprint no.466, Computer Center, Siberian Branch, USSR Ac. Sci., Novosibirsk, 1983 (in Russian).

M.M.Lavrentiev, Jr.: A priori estimations of solutions of non-linear parabolic equations. Differential Equations. (1982) 18, no.5 (in Russian).

M.M.Lavrentiev, Jr.: A priori estimations and existence theorems for non-linear parabolic equations. Ph.D. thesis, Novosibirsk, 1982 (in Russian).

M.M.Lavrentiev, Jr.: Lyapunov functionals method in the theory of non-linear parabolic equations. In: Abstracts of 3 Republic symposium on integral and differential equations. Odessa, 1982 (in Russian).

M.M.Lavrentiev, Jr.: A priori estimations of solutions of parabolic equations in domains with non cylindric boundaries. Dinamika sploshnoi sredy, 58, Novosibirsk, 1982 (in Russian).

M.M.Lavrentiev, Jr. About properties of approximated solutions of changing type equations. Siberian Mathematical Journal. (1980) 26, no.6 (in Russian).

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