PROF. NIKO. l. MUSKHELISHVILI
16.II.1891 - 16.VII.1976





EDUCATION AND SCIENTIFIC DEGREES

1901-1909 Pupils of Tbilisi Classical Gymnasium
1909-1914 Student of St.Petersburg University, Faculty of Physics and Mathematics
1915-1918 Post-Graduate Student of St.Petersburg University
1934 Dr.Sci.(Phys.& Math.)

POSITION HELD AND ACADEMIC EXPERIENCE

1915-1918 Assistant of Peterburgs Electrotechnical Institute
1917-1920 Assistant of Peterburgs University
1920-1922 Docent of Tbilisi State University
1921-1938 Docent, Professor of Tbilisi Technical Institute
1922-1976 Professor, Head of the Chair of Tbilisi State University
1926-1928 Dean of the Polytechnical Faculty of Tbilisi University
1928-1930 Pro-Rector of the Georgian Polytechnical Institute
1933-1935 Director of Mathematical,Physics and Mechanical Institute of Tbilisi State University
1933-1935 Deputy Director and Head of Department of Theoretical Geophysics of Geophysics Institute of Georgian Branch of the USSR Academy of Sciences
1933-1936 Dean of Faculty of Physics and Mathematics of Tbilisi State University - Senior researcher of specialist of Mathematical Institute of the USSR Academy of Scienses (Leningrad-Moscow)
1935-1938 Deputy Chairman of Georgian Branch of the USSR Academy of of Sciences (Tbilisi)
1938-1941 Chairman of Georgian Branch of the USSR Academy of Sciences (Tbilisi)
1941-1972 President of Academy of Sciences of the Georgian SSR
1941- 1976 Director of Mathematical Institute of Academy of Sciences of the Georgian SSR
1942-1953 Member of Presidium of Academy of Sciences of the USSR
1947-1976 Deputy Chairman, from 1955 member of Council for coordination of scientific activity of academies of sciences of Union Republics
1956-1976 Member of International Committee of Congresses on Applied Mechanics
1957-1976 Member of Presidium of Academy of Sciences of the USSR Chairman of National Committee of the USSR in Theoretical and Applied Mechanics
1960-1976 Member of Bureau of International Union on Theoretical and Applied Mechanics
1972-1976 Honorary President of Georgian Academy of Sciences

PUBLIC ACTIVITY

1935 Member of Tbilisi City Soviet of Working People's Deputies
1937 Deputy of Supreme Soviet of the USSR (and further of all convocations)
1940-1956 Member of the Committee for Conferring State Prizes
1947-1959 Chairman of Georgian Society for distribution of political and academic knowledge (Tbilisi)
1949 Participant of All-Union Congress for peace supporters (Prague)
1950 Member of the Soviet Committee for Peace Defenders
1956 Member of Committee for awarding of Lenin's Prizes

RESEARCH INTERESTS

Boundary value problems for analytic functions, singular integral equations, Mathematical Physics, theory of elasticity

MEMBERSHIP IN SCIENTIFIC ACADEMIES

1933 Corresponding Member of USSR Academy of Scienses
1939 Academician of the USSR Academy of Sciences
1941 Academician of Academy of Sciences of the Georgian SSR
1952 Foreign member of Bulgarian Academy of Sciences
1960 Foreign member of Polish Academy of Scinces
1961 Honorary member of Armenian Academy of Sciences
1964 Foreign member of German Academy of Sciences
1967 Foreign member of German (Berlin) Academy of Sciences

PRIZES AND AWARDS

1941 Stalin Prize of the first degree for research work "Some Basic Problems of the Mathematical Theory of Elasticity", published in 1935
1945 The title of Hero of Socialist Labour and decorated with Order of Lenin and with Gold Star "Hammer and Sickle" for merits in mechanics, especially in the theory of elasticity, as well as for many-year fruitful work in training of young personnel
1947 Stalin Prize of the second degree for scientific work "Singular Integral Equations", published in 1946
1969 International prize of Turin Academy of Scinces (Italy) "Modesto Panetti"
1970 Gold Medal of Slovakian (Cechoslovakian) Academy of Sciences
1970 Order of "Cyrill and Mephodius" of the first degree of Bulgarian Academy of Sciences
1972 M.V. Lomonosov's Gold Medal
1941, 1952, 1961, 1966, 1975 Orders of Lenin
1944 Order of the Red Banner for services in training of specialists for national economy and cultural building
1944 Medal "For Defence of Caucasus"
1946 Medal "For Valiant Labour in Great Patriotic War 1941-1945"
1961 Medal in connection with launching of the first artificial satellite
1971 Order of October Revolution

MANY SCIENTIFIC PAPERS AND BOOK DEDICATED TO THE LIFE AND ACTIVITIES OF N. MUSKHELISHVILI

  1. Muskhelishvili, Nikolos. Poggendorff's biographischliterarisches Handwörterbuch. Bd. 6. 1923-1931. 3. L-R. Berlin, Verlag Chemie, 1938, S.1811.
  2. Ali Kheiralla, A. Muskhelishvili, N.I.Some Basic problems of the mathematical theory of elasticity. Third revis. and augmenteded. Moscow,1949,Groningen, P.Noordhoff, Ltd., 1953.-J.Appl. Mech.,21(1954), No 4, 417-418.
  3. Bogoliubov, N. N., Medvedev, B. V. and Tavkhelidze, A.N. The appllication of the methods of N.I. Muskhelishvili to the solution of singular integral equations in quantum field theory. Problems of continuum mechanics. Contributions in honor of the seventieth birthday of academician N.I. Muskhelishvili 16 th February 1961. Philadelphia, Pa, Soc. Industr. and Appl. Math.,(1961), 39-55.
  4. Brandstatter, J.J. Muskhelishvili N.I. Some basic problems of the mathematical theory of elasticity. Third revis.and augment ed. Moscow,1949. Groningen, P. Noordhoff, Ltd., 1953. Appl.Mech.Rev., 7(1954), No 7, 293-294.
  5. Hill, R. A landmark in the theory of elasticity.[Muskhelishvili, N. I. Singular integral equations. Ed. 2. Moscow, 1946. Groningen, P. Noordhoff, N.V.,1953; Muskhelishvili, N.I. Some basic problems of the mathematical theory of elastisity.Third revis. and augmented ed. Moscow,1949.Groningen, P. Noordhoff, N. V.,1953]. Nature, 174(1954), No 4433, 713-714.
  6. Scott, E.J. Muskhelishvili, N. I. Singular integral equations. 2nd ed. Groningen, P. Noordhoff, Ltd., 1953. Appl. Mech. Rev.,7(1954), No 10, 424-425.
  7. Nikolai Ivanovich Muskhelishvili. (Russian) Materiali k bibliografii ychenich v SSSR, Seria "Matematika". Foreword by I.Vekua. Bibliografy by A. Epifanova. Nauka, Moscow, 1967.
  8. Niko Muskhelishvili (Biobibliographical Series "Georgian Scientists"; Foreword by A. Bitsadze and B. Khvedelidze). (Georgian) Metsniereba, Tbilisi,1980.
  9. N. Vekua. Niko Muskhelishvili. (Georgian) Metsniereba,Tbilisi, 1989.
  10. I.Vekua. Academician Nikolai Ivanovich Muskhelishvili.[Dedic. to the 70-th birthday]. Short Biography and Survey of Scientific Works. (Georgian) Georgian Academy of Scienses, Tbilisi, 1961.
  11. I. Vekua. Academician N. Muskhelishvili. Short Biography and Survey of Scientific Works.(Georgian) Metsniereba, Tbilisi, 1991, 60p.
  12. I. Vekua. Academician N. Muskhelishvili. Short Biography and Survey of Scientific Works.(Russian) Metcniereba, Tbilisi, 1991.
  13. I. Vekua. Academician N. Muskhelishvili. Short Biography and Survey of Scientific Works. Metcniereba, Tbilisi, 1991.
  14. G. K. Mikhailov, J.R.M. Radok. On N.I. Muskhelishvili's place in the world of science and mathematics. Proc. of the Intern.Sympos. Dedic. to the Cent.of Academ. N. Muskhelishvili. Tbilisi, Rep.of Georgia, June 6-11, 1991.
  15. B. Khvedelidze, G. Manjavidze. A. Survey of N.I. Muskhelishvili's scientific heritage. Proc. of the Intern.Sympos. Dedic.to the Centenary of Acad. N. Muskhelishvili. Tbilisi, Rep. of Georgia, 6-11 June 1991.
  16. Muskhelishvili, Mikola Ivanovich. (Ukrainian) Ukr.rad.enc.9(1962), 441.
  17. Muskhelishvili, Nikolai Ivanovich.(Russian) BSE, 40(1938),650.
  18. Muskhelishvili, Nikolai Ivanovich.(Russian) BSE, Second edition, 28(1954), 592-593.
  19. Muskhelishvili, Nikolai Ivanovich.(Russian) MSE, Third edition, 6(1959), 316.
  20. Muskhelishvili, Nikolai Ivanovich.(Russian) Enc. dictionary, 2(1954), 446.
  21. Muskhelishvili, Nikolai Ivanovich.(Russian) BSE, Third edition, 17(1974), 134.
  22. Muskhelishvili, Nikoloz Ivanesdze. (Georgian) GSE, 7(1984), 212.

THE COLLECTIONS OF PAPERS AND PROCEEDINGS OF THE SYMPOSIA IN HONOUR OF N.MUSKHELISHVILI

  1. Problems of Continuum Mechanics.(Russian) Izdat. AN SSSR, Moskva, 1961.(edited also in the Usa: Problems of Continuum Mechanics. SIAM, Philadelphia, Pensilvania, 1961).
  2. Applications of the theory of functions to continuum mechanics. (Russian). Proc. Intern. Symp. in Tbilisi, September 17-23, 1963, Nauka,Moscow, 1965,t.1; t.2;
  3. Continuum Mechanics and Related Problems of Analysis. (Russian). Nauka, Moscow, 1972.
  4. Proc. of Symposium in Continuum Mechanics and Related Problems of Analysis. (Russian).(Tbilisi, September, 23-29, 1971), Metsniereba,Tbilisi,1973, t.1; 1974,t.2.
  5. Continuum Mechanics and Related Problems of Analysis . Proc. the Intern. Symp. Dedicated to the Centenary of Academician N. Muskhelishvili. Tbilisi, Republic of Georgia, 6-11 June, 1991.

MAIN PUBLICATION

(i) Monographs

  1. Applications des intégrales analogues à celles de Cauchy á quelques problèmes de la physique matheèmatique. - Tiflis, Edition de l'Université de Tiflis, Imprimerié de l'Etat, 1922.
  2. Some basic problems of the mathematical theory of elasticity. Basic Equations, a plane problem, torsion and bending (Foreword by Acad. A. N. Krilov). (Russian) Acad. Sci. USSR, Leningrad, 1933.
  3. Some basic problems of the mathematical theory of elasticity. Basic equations, the plane problem, torsion and bending. (Russian) 2nd ed., revised and enlarged. Acad. Sci. USSR Publ. House, Moscow-Leningrad, 1935.
  4. Singular integral equations, boundary value problems of the fucntion theory and some of their applications to mathematical physics. (Russian), Moscow -Leningrad, 1946.
  5. Some basic problems of the mathematical theory of elasticity. Basic equations, the plane theory of elasticty, torsion and bending. 3rd ed., revised and enlarged, Moscow-Leningrad, 1949.
  6. Some basic problems of the mathematical theory of elasticity. Groningen, P. Noordhoff, 1953, XXXI. (English translation of the 3rd Russian edition of 1949).
  7. Singular integral equations. - Groningen, P. Noordhoff, 1953.
  8. Some basic problems of the mathematical theory of elasticity. Basic equations, the plane theory of elasticity, torsion and bending. 4th ed., revised and enlarged. (Russian) Acad. Sci. USSR Publ. House, 1954.
  9. Cîteva probleme fundamentale ale teorei matematice à elasticotatii. v.v. 1-3. Buchuresti. Inst. Studii Rom.-Sov., 1956. (Translates into Rouminian from the 3rd Russian edition of 1949).
  10. Some basic problems of the mathematical theory of elasticity. Peking, 1958, XVII.(Translated into Chinese from the 4rd Russian ed. of 1954).
  11. Singular integral equations. Boundary value problems of the theory of functions and some of their applications to mathematical physics. (Russian) 2nd ed., revised. Fizmatgiz, Moscow, 1962.
  12. Some basic problems of the mathematical theory of elasticity. Groningen, P. Noordhoff, 1963, XXXI.
  13. Singuläre Integralgleichungen. Randwertprobleme der Funktionentheorie und Anwendungen auf die mathematische Physik. Berlin, Akademie-Verlag, 1965, XIV.(German translation of the 2nd Russian edition of 1962).
  14. Some basic problems of the mathematical theory of elasticity. Basic equations, the plane theory of elasticity, torsion and bending. (Russian) 5th ed., revised and enlarged. Nauka, Moscow, 1966.
  15. Singular integral equations. Boundary value problems of the theory of functions and some of their applications to mathematical physics. (Russian) 3rd ed., revised and enlarged. Nauka, Moscow, 1968.
  16. Einige Grundanfgaben zur mathematischen Elastizitätstheorie. Leipzig, 1971.(Translation into German from the 5th Russian ed. of 1966).
  17. Singular integral equations. Boundary value problems of the theory of functions and some of their applications to mathematical physics. (Georgian) Metsniereba, Tbilisi, 1982.
  18. Application of Cauchy type integrals for some problems of mathematical physics.(Georgian) Metsniereba, Tbilisi, 1992.

(ii) Papers

  1. On the equilibrium of elastic circular disks under the influence of stresses applied at the points of their encirclement and acting in their domains. (Russian), Izv. Electrotekhnich. Inst., Petrograd,12(1915), 39-55 (jointly with G. V. Kolosov).
  2. On thermal stresses in the plane problem of the theory of elasticity. (Russian), Izv. Electrotekhnich. Inst., Petrograd,13(1916),23-37.
  3. On defining a harmonic function by conditions given on the contour. (Russian) Zh. Fiz.-mat.ob-va, Perm Univ., 1918, (1919), Issue I, 89-93.
  4. Sur l'intégtation de l'équation biharmonique. Izv. Ross. Akad. Nauk,13(1919), No. 12-15, 663-686.
  5. Sulla deformazione piana di un cilindro elastico isotropo. Atti Accad. Lincei,31(1922), 5 ser. No. 12, 548-551.
  6. Sur l'equilibre des corps élastiques soumis à l'action de la chaleur. Bull. Univ. Tiflis, 1923, No. 3, 17-26.
  7. Solution of an integral equation occurring in the theory of black radiation. (Russian) Zh. Russk. Fiz.-Khim. Ob-va, Part Phys.,56(1924), issue I, 30-39.
  8. Sur la solution du problème biharmonique pour l'aire extérieure à une ellipse. Math. Zeitschr. Bd. 26,1927 No.5, 700-705.
  9. Sur l'intégration approchee de l'équation biharmonique. C. R. Acad. Sci.,185(1927), No. 22, 1184-1186.
  10. Sur les orbites périodiques et les lignes géodésiques fermees. Atti Accad. Lincei, 5(1927), ser. 6, No. 10, 769-773.
  11. On periodic orbits in closed geodesic lines (abstract). (Russian) Trans. All-Russian Math. Congr. Moscow, April 27-May 4, 1927, Moscow-Leningrad, 1928,189.
  12. On some contour problems of plane hydrodynamics.(Russian) Proc.of ? All-Russian Math. Congr. Moscow-Leningrad, 1928, 262.
  13. Sur le problème fondamental d'hydrodynamique à deux dimensions. Atti Accad. Lincei,7(1928), ser. 6, No. 12, 995-1002.
  14. Zum problem der Torsion der homogenen isotropen Prismen. Izv. Tiflis. polit.in-ta,1(1929), part 1, 1-20.
  15. Sur le problème de torsion des cylindres élastiques isotropes. Atti Accad. Lincei,9(1929), ser. 6, No. 4, 295-300.
  16. Nouvelle méthode de rèduction du problème biharmonique fondamental à une equation de Fredholm. C. R. Acad. Sci.,192(1931), No. 2, 77-79.
  17. Théorèmes d'existence relatifs au problème biharmonique et aux problèmes d'élasticité a deux dimensions. C. R. Acad. Sci., 192(1931), No. 4, 221-223.
  18. To the problem of torsion and bending of elastic bars composed of various materials. (Russian). Izv. AN SSSR, OMEN,1932, iss.7,907-945.
  19. To the problem of torsion and bending of composite elastic beams. (Russian) Izv. Inzh. Inst. Gruzii, 1932,iss. I,123-127.
  20. Sur le problème de torsion des poutres élastiques composées. C. R. Acad. Sci., 194(1932), No. 17, 1435-1437.
  21. Recherches sur des problèmes aux limites relatifs à l'équartion biharmonique et aux équations de l'élasticité à deux dimensons. Math. Ann., 1932, Bd. 107, No. 2, 282-312.
  22. Solution of a plane problem of the theory of elasticity for a solid ellipse. (Russian) PMM, I(1933), is. I, 5-12.
  23. Praktische Lösung der fundamentalen Randwertaufgaben der Elastizitätstheorie in der Ebene fur einige Berandungsformen. Z. angew. Math. und Mech., 1933, Bd. 13, No. 14, 264-282.
  24. Sur l'équivalence de deux méthodes de reduction du problème plan biharmonique à une équation intégrale. C. R. Acad. Sci., 196(1933), No. 26, 1947-1948 (avec V. Fock).
  25. A new general method of the solution of the basic boundary value problems of the plane theory of elasticity. (Russian) DAN SSSR, 3(1934), No. 1, 7-11.
  26. Investigation of new integral equations of the plane theory of elasticity. (Russian) DAN SSSR,3(1934), No. 2, 73-77.
  27. On a new boundary value problem of the theory of elasticity. (Russian) DAN SSSR, 3(1934),141-144.
  28. A new method of the solution of plane problems of the theory of elasticity. (Russian) Bull. II All-Union Math. Congr. in Leningrad, June 24-30, Leningrad, 1934, 68 (abstarct).
  29. Solution of the basic mixed problem of the theory of elasticity for half-plane. (Russian) DAN SSSR, 3(1935), No. 2, 51-53.
  30. Theory of elasticity. (Russian) Big Soviet Encycl., 56(1936), 147-158.
  31. A new method of solution of plane problems of the theory of elasticity (abstract). (Russian) Trans. II All-Union Math. Congr. in Leningrad, June 24-30,2(1934), Leningrad-Moscow, 1936, 345-346.
  32. On the numerical solution of a plane problem of the theory of elasticity. (Georgian). Trans. Tbil. Math. Inst., 1(1937), 83-87.
  33. Transl. editing: Chapters 7-9. In the book by F. Frank and R. Mizes "Differential and Integral equations of Mathematical Physics". Part 2. Transl. edited by L. E. Gurevich. Leningrad-Moscow, 1937, 224-346.
  34. On the solution of the basic boundary value problems of the theory of Newtonean potential. (Russian) PMM, 4(1940), iss. 4, 3-26.
  35. On the solution of the basic contour problems of the logarithmic potential theory. (Russian). Trans. Tbil. Math. Inst., 7(1939), 1-24 (jointly with L. Z. Avazashvili).
  36. On the solution of the Dirichlet problem on a plane. (Russian) Bull. Georgian Branch USSR Acad. Sci.,1(1940), No. 2, 99-106.
  37. Remarks on the basic boundary value problems of the potential theory. (Russian) Bull. Georgian Branch USSR Acad. Sci., 1(1940), No. 3, 169-170. Amendments to the paper, ditto, No. 7, 567.
  38. Application of integrals of the Cauchy type to one class of singular integral equations. (Russian) Trans. Tbil. Mat. Inst., 10(1941), 1-43, 161-162.
  39. On the basic mixed boundary value problem of the logarithmic potential theory for multiply connected domains. (Russian) Bull. Acad. Sci. Georgian SSR,2(1941), No. 4, 309-313.
  40. Basic boundary value problems of the theory of elasticity for a half-plane. (Russian) Bull Acad. Sci. georgian SSR,2(1941), No. 10, 873-880.
  41. Singular integral equations with a Cauchy type kernel on open contours. (Russian) Trans. Tbil. Math. Inst. Acad. Sci. georgian SSR, 2(1942), 141-172 (jointly with D. A. Kveselava).
  42. Basic boundary value problems of the theory of elasticity for a plane with rectilinear cuts. (Russian) Bull. Acad. Sci. Georgian SSR,3(1942), No. 2, 103-110.
  43. To the problem of equilibrium of a rigid punch at the boundary of an elastic half-plane in the presence of friction. (Russian) Bull. Acad. Sci. Georgian SSR,43(1942), No. 5, 413-418.
  44. Systems of singular integral equations with Cauchy type kernels. (Russian) Bull. Acad. Sci. Georgian SSR,3(1942), No. 10, 987-984.
  45. Riemann boundary value problem for several unknown functions and its applications to systems of singular integral equations. (Russian) Trans. Tbil. math. Inst., 12(1943), 1-46 (jointly with N. P. Vekua).
  46. Applications of the theory of analytic functions to the theory of elasticity. (Russian) All-Union Congr. on theoretical and Applied Mechanics. Report Abstracts. Moscow, 1960, 142-143 (jointly with I. N. Vekua).
  47. Methods of the theory of analytic functions in the theory of elasticity. (Russian) Trans. All-Union Congr. on Theoretical and Applied Mrchanics (1960). Moscow-Leningrad, USSR Acad. Sci. Publ., 1962, 310-388 (jointly with I. N. Vekua).
  48. Applications of the theory of functions of a complex variable to the theory of elasticity. In the book: Application of the theory of functions in solid medium mechanics. (Russian) v. VII, Nauka, Moscow, 1965, 32-55. Ditto in English: 56-75.

(iii)

  1. Lectures on analytical geometry read in the Tiflis Polytechnical Institute, part I, Tiflis Polytechn. Inst., Tiflis, 1922, 261 p. (manuscript).
  2. Course on theoretical mechanics. (Georgian) Part I. Statics, Tiflis, Tiflis Univ., 1926, 292 p.
  3. Lectures on analytical geometry. (Russian) Part I, 2nd ed., revised, Tiflis, 1926, 208 p.
  4. Course on theoretical mechanics. (Georgian) Part II. Kinematics, Tiflis, Tiflis Univ., 1928,253 p.
  5. Course on analytical geometry. (Georgian) Part I, Tiflis, Polytechn. Inst., 1929, 245 p.
  6. Course on theoretical mechanics. (Georgian) Part I. Statics, Tiflis, State Publ., 1930, 216 p.
  7. Course on theoretical mechanics. (Georgian) Part II. Kinematics, 2nd ed., Tiflis, State Publ., 1932, 208 p.
  8. Course on analytical geometry. (Russian) Part I, Leningrad-Moscow,1933, 220 p.
  9. Course on theoretical mechanics. (Georgian) Part I. Statics. 2nd ed., Tiflis, State Publ., 1933, 190 p.
  10. Translated: A. Webster. Mechanics of mass points of solid, elastic and liquid bodies. Lectures on mathematical physics (translated from the 3rd Engl. ed. edited by K. V. Melikov). Leningrad-Moscow, 1933, 624 p. (jointly with M. B. Sebastianov and K. V. Melikov).
  11. Course on analytical geometry. (Russian) Part 2. Leningrad-Moscow, 1934, 276 p.
  12. Course on analytical geometry. (Russian) 2nd ed., revised. Moscow-Leningrad, 1938, 576 p.
  13. Course on analytical geometry. (Georgian) Tbilisi, State Univ. Press, 1939, XVI, 704 p.
  14. Course on analytical geometry. (Russian) 3rd ed., revised and enlarged, Moscow-Leningrad, 1947, 664 p.
  15. Course on analytical geometry. (Georgian) Tbilisi, Teknika da Shroma, 1951, 671 p.
  16. Course on analytical geometry. Peking, 1955, 633 p. (Chinese translation of the 3rd Russian edition of 1947).
  17. Course on analytical geometry. (Georgian) 4th ed., Sabchota Sakartvelo, Tbilisi, 1962, 617 p.
  18. Course on analytical geometry. (Russian). 4th ed. Vishaya Shkola, 1967, 655 p.