Publication List

A. Monographs and textbooks

[A-1] Mathematical Theory of Coagulation. Seoul: Seoul National University. Research Institute of Mathematics, 1994.

[A-2] Methods of Solution of the Problems in Mathematical Physics. Moscow: Nauka, 2002, 2-d edition (with V.I.Agoshkov and V.P.Shutyaev).

B. Papers

[B-1] ``Solution of the coagulation equations with unbounded kernels,'' Differential Equations 22, 1986, 504-509 (with V.A.Galkin).

[B-2] ``A binomial inequality and its application in the coagulation theory,'' in: Investigation of nonlinear models of mathematical physics, Obninsk Institute of Nuclear Power Engineering, Obninsk, 1990, 118-122, in Russian.

[B-3] ``On structural stability of coagulating systems with condensation and evaporation,'' in: Investigation of nonlinear models of mathematical physics, Obninsk Institute of Nuclear Power Engineering, Obninsk, 1990, 115-118, in Russian (with A.N.Chepurko).

[B-4] ``Solutions of a spatially inhomogeneous coagulation equation with particle fractionation taken into account,'' Differential Equations 26, 1990, 508-513.

[B-5] ``An iterative method for solving the coagulation equation with spatially inhomogeneous velocity fields,'' USSR Computational Mathematics and Mathematical Physics 30, 1990, 1755-1757.

[B-6] ``Generalized solutions of coagulation equation,'' Functional Analysis and its Applications 25, No. 2, 1991, 62-64.

[B-7] ``Exact solutions for the coagulation-fragmentation equation,'' J. Phys. A: Math. Gen. 25, 1992, 4737-4744 (with V. A. Galkin and I. W. Stewart).

[B-8] ``Existence theorem for space inhomogeneous coagulation equation,'' Applied Mathematics Letters 7, No. 4, 1994, 13-18.

[B-9] ``Convergence to equilibrium for the coagulation equation with sources,'' Differential equations 31, 1995, 684-689.

[B-10] ``On the order of singularity of solutions for the stationary coagulation equation,'' Applied Mathematics Letters 8, No. 5, 1995, 17-20 (with I.W. Stewart).

[B-11] ``Comment on singular solutions to the stationary coagulation equation,'' J. Phys. A: Math. Gen. 28, 1995, 3563-3564 (with I.W. Stewart).

[B-12] ``Functional and measure-valued solutions of the Euler equations for flows of incompressible fluids,'' Arch. Rational Mech. Anal. 129, 1995, 385-396 (with D. Chae).

[B-13] ``A connection between scalar conservation laws and infinite linear systems of PDE's,'' Applied Math. Letters 8, No. 5, 1995, 21-25 (with D. Chae).

[B-14] ``Existence and uniqueness for spatially inhomogeneous coagulation equation with sources and effluxes'', Z. angew Math. Phys. (ZAMP) 46, 1995, 580-594 (with D. Chae).

[B-15] ``Existence, uniqueness and mass conservation for the coagulation-fragmentation equation,'' Math. Meth. Appl. Sci. 19, 1996, 571-591 (with I.W. Stewart).

[B-16] ``Trend to equilibrium for the coagulation-fragmentation equation,'' Math. Meth. Appl. Sci. 19, 1996, 761-772 (with I.W. Stewart).

[B-17] ``Travelling wave-like solutions to the Navier-Stokes and the related equations,'' J. Math. Anal. Appl. 204 (1996), 930-939 (with D. Chae).

[B-18] ``Approach to equilibrium for the coagulation-fragmentation equation via a Lyapunov functional,'' Math. Meth. Appl. Sci. 19 (1996), 171-185 (with I.W. Stewart).

[B-19] ``A uniqueness theorem for a Boltzmann equation arising in coagulation-fragmentation dynamics,'' in: Integral Methods in Science and Engineering, 1, Pitman Research Notes in Mathematics Series, C.Constanda, J.Saranen and S.Seikkala (eds.), Longman, 1997, pp. 69-73.

[B-20] ``Existence and uniqueness for spatially inhomogeneous coagulation-condensation equation with unbounded kernels,'' Journal of Integral Equations and Applications 9, No. 3 (1997), 219-236 (with D. Chae).

[B-21] ``Existence theorem for spatially inhomogeneous Boltzmann equation from the coagulation-fragmentation dynamics,'' in: Analysis, Numerics and Applications of Differential and Integral Equations, Pitman Research Notes in Mathematics Series, M.Bach, C.Constanda, G.C.Hsiao, A.-M. Saengid, and P.Werner (eds.), Longman, 1998, pp. 77-80.

[B-22] ``Analysis of infinite systems of ordinary differential equations by means of the ajoint equations methods,'' in: Differential Equations and Applications, Proc. of II Int. Conference, St.-Petersburgh, St.-Pt. Tech. Univ., 1998, 123-126 (in Russian).

[B-23] ``A ``triangle'' of interconnected coagulation models,'' J. Phys. A: Math. Gen. 32, No.5, 1999, 781-793.

[B-24] ``Structural stability of disperse systems and finiteness of a coagulation front,'' J. of Experimental and Theoretical Physics (ZETF) 89, No. 2, 384-390 (1999).

[B-25] ``The fluid dynamic limit of the coagulation-fragmentation equation,'' in: Mathematical Models of Nonlinear Excitation, Transport, Dynamics, Control in Condensed Systems and Other Media, Arinstein A.E., Latyshev A.V., Uvarova L.A. (eds.), Plenum Press Inc., 1999, 71-76.

[B-26] ``A ``triangle'' of coagulation models and gel transition in disperse systems,'' Nature, 2000, No. 5, 32-37 (in Russian).

[B-27] ``A new discrete coagulation model and properties of its continuous analogue,'' Mathematical Modeling 12, No. 9, 3-15 (2000) (in Russian).

[B-28] ``Reconstructing the source function in the inverse coagulation-fragmentation problem,'' in: Distributed systems: Optimization and Economic-Environmental Applications (DSO'2000). Ekaterinburg, Russia, IMM Ural branch of RAS, 2000. Proceedings of the Int. Conference, Ekaterinburg, 30.05 - 02.06 2000, 224-228 (with V.I.Agoshkov).

[B-29] ``Analytic solution of the fragmentation equation by means of the adjoint equations methods,'' Differential Equations 36, No. 10, 1385-1392 (2000).

[B-30] ``Solubility of the transport equation in the kinetics of coagulation and fragmentation,'' Izvestiya: Mathematics 65, No. 1, 1-22, 2001.

[B-31] ``Development of Theory of Integral Equations with Non-Fredholm Kernels,'' Proc. of Regional Research Projects. Kaluga: Eidos, 2002, 74-89 (in Russian).

[B-32] ``Solution of the reconstruction problem of a source function in the coagulation-fragmentation equation,'' Russ. J. Numer. Anal. Math. Modelling 17, No. 4, 319-330, 2002 (with V.I.Agoshkov).

[B-33] ``Existence, uniqueness, and stability for spatially inhomogeneous Bekker-Doering equations with diffusion and convection terms,'' (with S.-Y. Ha, submitted to J. Differential Equations)


C. Preprints

[C-1] ``One method of regression experiment analysis,'' Deposited in VINITI No. 5312-B89 (1989) (with V.A.Myalkovskaya, in Russian).

[C-2] ``Solvability of the coagulation equation with condensation,'' Deposited in VINITI No. 5313-B89 (1989), 57pp. (in Russian).

[C-3] ``Mathematical theory of kinetic equations taking the coagulation into account,'' summary of the PhD thesis in theoretical and mathematical physics. Moscow: Moscow State University, Physical Faculty, 1989 (in Russian).

[C-4] ``Functional and measure-valued solutions of the Euler equations for incompressible fluid flows,'' GARC-KOSEF Preprint series. Seoul: Seoul National University, Research Institute of Mathematics, 1993, No. 33 (with D. Chae).

[C-5] ``Existence and Uniqueness for Spatially Inhomogeneons Coagulation-Condensation Equation with Unbounded Kernels,'' GARC-KOSEF Preprint series. Seoul: Seoul National University, Research Institute of Mathematics, 1994, No. 2 (with D. Chae).

[C-6] `` Travelling Wave-Like Solutions of the Navier-Stokes and the Related Equations,'' GARC-KOSEF Preprint series. Seoul: Seoul National University, Research Institute of Mathematics, 1994, No. 12 (with D. Chae).

[C-7] ``On Connection between scalar conservation laws and infinite linear systems of PDE's,'' GARC-KOSEF Preprint series. Seoul: Seoul National University, Research Institute of Mathematics, 1994, No. 13 (with D. Chae).

[C-8] ``Existence and uniqueness for spatially inhomogeneous coagulation equation with sources and effluxes,'' GARC-KOSEF Preprint series. Seoul: Seoul National University, Research Institute of Mathematics, 1994, No. 13 (with D. Chae).

[C-9] ``Numerical simulation of fog,'' preprint INM RAS No. INM-95-43 (with V.I.Agoshkov).

[C-10] ``Reconstruction of source function for inverse transport problem in a slab,'' Centre de Mathematiques et Leurs Applications (CMLA) ENS CACHAN, Preprint No. 9818, 1998 (with Agoshkov V.I., Bardos C., and Panferov S.G).

[C-11] ``Mathematical theory of the coagulation-fragmentation kinetics,'' summary of Dr. Sc. Dissertation in mathematical modeling and mathematical physics, Moscow: Institute of Numerical Mathematics, RAS, 2000 (in Russian).

D. Abstracts

[D-1] ``Solvability of the Euler equation for incompressed fluid in an arbitrary domain,'' The 9-th Winter School in mechanics of continuous media. Institute of mechanics of continuous media. Ural branch of the Academy of Sciences of USSR. Perm' 1991, p.39 (with V.A.Galkin, in Russian).

[D-2] ``Asymptotic behavior of solutions of the Smoluchowski's equation with sources at large time,'' {it Numerical Methods of Continuum Mechanics}, Abstracts of the V All-Russian school of young scientists 1.06--5.06 1993, Computing Center of Rostov State University, Rostov-na-Donu, 1993, p. 10 (in Russian).

[D-3] ``Existence, uniqueness and stability for spatially inhomogeneous coagulation equation with unbounded kernels,'' XI International Congress of Mathematical Physics, Paris, 1994, p.31 (with D.Chae).

[D-4] ``Existence, uniqueness and stability for spatially non-homogeneous coagulation equation with unbounded kernels,'' Int. Conference on Functional Differential Equations and Applications, Moscow State Aviation Institute, Moscow, 1994, p.25 (with D.Chae).

[D-5] ``Quasifunctionals as an approach to the analysis of systems of ODE's,'' II Int. Conference ``Differential Equations and Applications'', June 15-20, 1998, Saint-Petersburg State Technical University, 28-29.

[D-6] ``The fluid dynamic limit of the coagulation-fragmentation equation,'' in: Mathematical Models of Nonlinear Excitation, Transport, Dynamics, Control in Condensed Systems and Other Media, June 29 - July 3, 1998. Tver: Tver State Technical University, 1998, p.158.

[D-7] ``Well-posedness of linear integral equations with non-Fredholm kernels,'' Mathematical modeling in natural and humanitarian sciences. Voronezh, Russia, 20-27.01.2000. Book of abstracts of the Conference, p. 88, (in Russian).

[D-8] ``Well-posedness of linear integral equations with non-Fredholm kernels,'' Modern Analysis and its Applications. Voronezh, Russia, 28.01-04.02.2000. Book of abstracts of the Voronezh Winter School, 69-70 (in Russian).

[D-9] ``A new model of the coagulation kinetics and its mathematical investigation,'' Mathematical Models of Nonlinear Excitation, Transport, Dynamics, Control in Condensed Systems and Other Media, 4th Int. Conference June 27 - July 1, 2000, book of abstracts. Moscow, STANKIN, 2000, p. 42 (in Russian).

[D-10] ``Natural functional spaces of solutions for linear integral and infinite systems of algebraic equations,'' Modern methods in function theory and associated problems, Voronezh Winter School 01/27--02/04/2001. Voronezh: Voronezh State University, 2001, p. 306 (in Russian).

[D-11] ``Well-posedness of linear integral equations with non-Fredholm kernels and natural spaces of their solutions'', International Conference "Differential equations and related topics" dedicated to the Centenary Anniversary of I.G.Petrovskii. Moscow, May 22-27, 2001. Moscow: Moscow University Press, 2001, p. 114.

[D-12] ``Infinite linear dynamic systems: well-posedness, spaces of solutions, interconnection with nonlinear ordinary differential equations,'' Progress in nonlinear science, International Conference dedicated to the 100th Anniversary of A.A.Andronov. Nizhny Novgorod, Russia, 2-6.07.2001, p. 39.

[D-13] ``New mathematical models in the kinetics of two-phase disperse systems,'' Progress in nonlinear science, International Conference dedicated to the 100th Anniversary of A.A.Andronov. Nizhny Novgorod, Russia, 2-6.07.2001, 131-132.

[D-14] ``New mathematical models in the coagulating of two-phase systems and their fluid dynamic limit,'' Applied Mathematics in Our Changing World, First SIAM-EMS Conference, September 2-6, 2001, Berlin, Germany. Berlin: Konrad-Zuse-Zentrum fuer Informationstechnik, 2001, p. 55.

E. Tutorial and Educational publications

[E-1] Equations of Mathematical Physics, Obninsk Inst. of Nuclear Power Engineering. Obninsk, 1987 (with G.N.Pazin).

[E-2] Theory of Invention Problems, Obninsk Inst. of Nuclear Power Engineering. Obninsk, 1988 (with K.A.Sklobovsky).

[E-3] Development of Creative Imagination, Obninsk Inst. of Nuclear Power Engineering. Obninsk, 1988 (with K.A.Sklobovsky).

[E-4] Highest Mathematics, Obninsk Inst. of Nuclear Power Engineering. Obninsk, 1993 (with B.E.Diskin and N.K.Sklobovsky).

F. Patent

[F-1] ``Nuclear Reactor.'' Patent of Russia No. 2017242 of 30 July 1994, priority of 20 October 1990 (with B.G.Dubovski, K.I.Karikh, A.K.Karikh).