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Panagiotis E. Souganidis

Panagiotis E. Souganidis (Παναγιώτης E. Σουγανίδης) is an American mathematician, specializing in partial differential equations.[1]

Biography edit

Souganidis graduated in 1981 with B.A. from the National and Kapodistrian University of Athens. At the University of Wisconsin–Madison he graduated with M.A. in 1981[1] and Ph.D. in 1984 with thesis under the supervision of Michael G. Crandall.[2] Souganidis was a postdoc in 1984–1985 at the University of Minnesota's Institute for Mathematics and its Applications[1] and was at the Institute for Advanced Study in 1988 and 1990.[3] After holding professorships at Brown University, the University of Wisconsin–Madison, and the University of Texas at Austin, he became in 2008 the Charles H. Swift Distinguished Service Professor in Mathematics at the University of Chicago. He has held visiting positions at academic institutions in Italy, Japan, Greece, France, the UK, and Sweden.[1]

He works on non-linear partial differential equations, and stochastic analysis. The main parts of his work are qualitative properties of viscosity and entropy solutions, front propagation and asymptotic behavior of reaction diffusion equations and particle systems, stochastic homogenization, the theory of pathwise solutions for first and second order partial differential equations, including stochastic Hamilton-Jacobi equations and scalar conservation laws.[4]

Souganidis is the author or co-author of over 100 publications in refereed journals. His wife is Thaleia Zariphopoulou,[5] a Greek-American mathematician and professor at the University of Texas at Austin.

Awards and honors edit

Selected publications edit

  • Evans, L. C.; Souganidis, P. E. (1984). "Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations". Indiana University Mathematics Journal. 33 (5): 773–797. doi:10.1512/iumj.1984.33.33040. JSTOR 45010271.
  • Souganidis, Panagiotis E. (1985). "Approximation schemes for viscosity solutions of Hamilton-Jacobi equations". Journal of Differential Equations. 59 (1): 1–43. Bibcode:1985JDE....59....1S. doi:10.1016/0022-0396(85)90136-6.
  • Lions, P.-L.; Souganidis, P. E. (1985). "Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman's and Isaacs' Equations". SIAM Journal on Control and Optimization. 23 (4): 566–583. doi:10.1137/0323036.
  • Bona, J. L.; Souganidis, P. E.; Strauss, W. A. (1987). "Stability and Instability of Solitary Waves of Korteweg-de Vries Type". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 411 (1841): 395–412. Bibcode:1987RSPSA.411..395B. doi:10.1098/rspa.1987.0073. S2CID 120894859.
  • Fleming, W. H.; Souganidis, P. E. (1989). "On the Existence of Value Functions of Two-Player, Zero-Sum Stochastic Differential Games". Indiana University Mathematics Journal. 38 (2): 293–314. doi:10.1512/iumj.1989.38.38015. JSTOR 24895386.
  • Bona, J. L.; Souganidis, P. E.; Strauss, W. A. (1987). "Stability and Instability of Solitary Waves of Korteweg-de Vries Type". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 411 (1841): 395–412. Bibcode:1987RSPSA.411..395B. doi:10.1098/rspa.1987.0073. S2CID 120894859.
  • Barles, G.; Soner, H. M.; Souganidis, P. E. (1993). "Front Propagation and Phase Field Theory". SIAM Journal on Control and Optimization. 31 (2): 439–469. doi:10.1137/0331021. S2CID 39091910.
  • Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. (1998). "Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates". Communications on Pure and Applied Mathematics. 49 (6): 599–638. doi:10.1002/(SICI)1097-0312(199606)49:6<599::AID-CPA2>3.0.CO;2-5.
  • Barles, Guy; Souganidis, Panagiotis E. (1998). "A New Approach to Front Propagation Problems: Theory and Applications". Archive for Rational Mechanics and Analysis. 141 (3): 237–296. Bibcode:1998ArRMA.141..237B. doi:10.1007/s002050050077. S2CID 121972598.
  • Lions, Pierre-Louis; Souganidis, Panagiotis E. (2003). "Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting". Communications on Pure and Applied Mathematics. 56 (10): 1501–1524. doi:10.1002/cpa.10101. S2CID 121828182.

References edit

  1. ^ a b c d e "Curriculum Vitae, Panagiotis E. Souganidis" (PDF). Department of Mathematics, University of Chicago.
  2. ^ Panagiotis E. Souganidis at the Mathematics Genealogy Project
  3. ^ "Panagiotis E. Souganidis". Institute for Advanced Study. 9 December 2019.
  4. ^ "Prof. Panagiotis E. Souganidis". International Congress on Industrial and Applied Mathematics, July 15–19 Valencia, Spain (ICIAM 2019).
  5. ^ "Van Vleck Notes: The Newsletter of the Mathematics Department of the University of Wisconsin, Number 5" (PDF). Fall 1992.
  6. ^ Souganidis, P.E. (1995). "Interface dynamics in phase transitions". In Chatterji, S.D. (ed.). Proceedings of the International Congress of Mathematicians, 1994, Zürich. pp. 1133–1144. doi:10.1007/978-3-0348-9078-6_106. ISBN 978-3-0348-9897-3.
  7. ^ "Former IMA Postdoc Elected as Fellow of SIAM". Institute for Mathematics and its Applications, University of Minnesota.
  8. ^ "Invited Speakers". International Congress on Industrial and Applied Mathematics, July 15–19 Valencia, Spain (ICIAM 2019). Nonlinear PDE with rough (stochastic) time dependence: applications and theory by P. E. Souganidis, joint program with P.-L. Lions

External links edit

  • International Centre for Theoretical Physics (ICTP) talks by Panagiotis Souganidis, 2018
    • "Phase-field models for motion by mean curvature - 1". YouTube. ICTP Mathematics. 11 June 2018.
    • "Phase-field models for motion by mean curvature - 2". YouTube. ICTP Mathematics. 12 June 2018.
    • "Phase-field models for motion by mean curvature - 3". YouTube. ICTP Mathematics. 12 June 2018.
    • "Phase-field models for motion by mean curvature - 4". YouTube. ICTP Mathematics. 14 June 2018.

panagiotis, souganidis, Παναγιώτης, Σουγανίδης, american, mathematician, specializing, partial, differential, equations, contents, biography, awards, honors, selected, publications, references, external, linksbiography, editsouganidis, graduated, 1981, with, f. Panagiotis E Souganidis Panagiwths E Soyganidhs is an American mathematician specializing in partial differential equations 1 Contents 1 Biography 2 Awards and honors 3 Selected publications 4 References 5 External linksBiography editSouganidis graduated in 1981 with B A from the National and Kapodistrian University of Athens At the University of Wisconsin Madison he graduated with M A in 1981 1 and Ph D in 1984 with thesis under the supervision of Michael G Crandall 2 Souganidis was a postdoc in 1984 1985 at the University of Minnesota s Institute for Mathematics and its Applications 1 and was at the Institute for Advanced Study in 1988 and 1990 3 After holding professorships at Brown University the University of Wisconsin Madison and the University of Texas at Austin he became in 2008 the Charles H Swift Distinguished Service Professor in Mathematics at the University of Chicago He has held visiting positions at academic institutions in Italy Japan Greece France the UK and Sweden 1 He works on non linear partial differential equations and stochastic analysis The main parts of his work are qualitative properties of viscosity and entropy solutions front propagation and asymptotic behavior of reaction diffusion equations and particle systems stochastic homogenization the theory of pathwise solutions for first and second order partial differential equations including stochastic Hamilton Jacobi equations and scalar conservation laws 4 Souganidis is the author or co author of over 100 publications in refereed journals His wife is Thaleia Zariphopoulou 5 a Greek American mathematician and professor at the University of Texas at Austin Awards and honors edit1989 Sloan Research Fellow 1 1994 Invited Speaker of the International Congress of Mathematicians 6 2003 Highly Cited Researcher 2012 Fellow of the American Mathematical Society Class of 2013 2015 Fellow of the Society for Industrial and Applied Mathematics 7 2017 Fellow of the American Association for the Advancement of Science 2019 Invited Speaker of the International Congress on Industrial and Applied Mathematics 8 Selected publications editEvans L C Souganidis P E 1984 Differential Games and Representation Formulas for Solutions of Hamilton Jacobi Isaacs Equations Indiana University Mathematics Journal 33 5 773 797 doi 10 1512 iumj 1984 33 33040 JSTOR 45010271 Souganidis Panagiotis E 1985 Approximation schemes for viscosity solutions of Hamilton Jacobi equations Journal of Differential Equations 59 1 1 43 Bibcode 1985JDE 59 1S doi 10 1016 0022 0396 85 90136 6 Lions P L Souganidis P E 1985 Differential Games Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman s and Isaacs Equations SIAM Journal on Control and Optimization 23 4 566 583 doi 10 1137 0323036 Bona J L Souganidis P E Strauss W A 1987 Stability and Instability of Solitary Waves of Korteweg de Vries Type Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences 411 1841 395 412 Bibcode 1987RSPSA 411 395B doi 10 1098 rspa 1987 0073 S2CID 120894859 Fleming W H Souganidis P E 1989 On the Existence of Value Functions of Two Player Zero Sum Stochastic Differential Games Indiana University Mathematics Journal 38 2 293 314 doi 10 1512 iumj 1989 38 38015 JSTOR 24895386 Bona J L Souganidis P E Strauss W A 1987 Stability and Instability of Solitary Waves of Korteweg de Vries Type Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences 411 1841 395 412 Bibcode 1987RSPSA 411 395B doi 10 1098 rspa 1987 0073 S2CID 120894859 Barles G Soner H M Souganidis P E 1993 Front Propagation and Phase Field Theory SIAM Journal on Control and Optimization 31 2 439 469 doi 10 1137 0331021 S2CID 39091910 Lions Pierre Louis Perthame Benoit Souganidis Panagiotis E 1998 Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates Communications on Pure and Applied Mathematics 49 6 599 638 doi 10 1002 SICI 1097 0312 199606 49 6 lt 599 AID CPA2 gt 3 0 CO 2 5 Barles Guy Souganidis Panagiotis E 1998 A New Approach to Front Propagation Problems Theory and Applications Archive for Rational Mechanics and Analysis 141 3 237 296 Bibcode 1998ArRMA 141 237B doi 10 1007 s002050050077 S2CID 121972598 Lions Pierre Louis Souganidis Panagiotis E 2003 Correctors for the homogenization of Hamilton Jacobi equations in the stationary ergodic setting Communications on Pure and Applied Mathematics 56 10 1501 1524 doi 10 1002 cpa 10101 S2CID 121828182 References edit a b c d e Curriculum Vitae Panagiotis E Souganidis PDF Department of Mathematics University of Chicago Panagiotis E Souganidis at the Mathematics Genealogy Project Panagiotis E Souganidis Institute for Advanced Study 9 December 2019 Prof Panagiotis E Souganidis International Congress on Industrial and Applied Mathematics July 15 19 Valencia Spain ICIAM 2019 Van Vleck Notes The Newsletter of the Mathematics Department of the University of Wisconsin Number 5 PDF Fall 1992 Souganidis P E 1995 Interface dynamics in phase transitions In Chatterji S D ed Proceedings of the International Congress of Mathematicians 1994 Zurich pp 1133 1144 doi 10 1007 978 3 0348 9078 6 106 ISBN 978 3 0348 9897 3 Former IMA Postdoc Elected as Fellow of SIAM Institute for Mathematics and its Applications University of Minnesota Invited Speakers International Congress on Industrial and Applied Mathematics July 15 19 Valencia Spain ICIAM 2019 Nonlinear PDE with rough stochastic time dependence applications and theory by P E Souganidis joint program with P L LionsExternal links editInternational Centre for Theoretical Physics ICTP talks by Panagiotis Souganidis 2018 Phase field models for motion by mean curvature 1 YouTube ICTP Mathematics 11 June 2018 Phase field models for motion by mean curvature 2 YouTube ICTP Mathematics 12 June 2018 Phase field models for motion by mean curvature 3 YouTube ICTP Mathematics 12 June 2018 Phase field models for motion by mean curvature 4 YouTube ICTP Mathematics 14 June 2018 Retrieved from https en wikipedia org w index php title Panagiotis E Souganidis amp oldid 1193999951, wikipedia, wiki, book, books, library,

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