Marina Chugunova
Curriculum Vitae

Postdoctoral Fellow,
Department of Mathematics, University of Toronto
40 St. George Str.
Toronto, Ontario M5S 2E4,Canada
Phone: (office) +1 (416) 946-3769
Fax:    +1 (416) 978-4107
Email:
chugunom at math.utoronto.ca

 

PERSONAL:

Place of birth: Russia
Citizenship: Canadian


EDUCATION

Ph.D. Mathematics, McMaster University, December 2007, Canada
Thesis: Spectral Stability of Nonlinear Waves in Dynamical Systems
Supervisor: Dmitry Pelinovsky

Candidate of Math.Sc. Mathematical Analysis - 001, Ulyanovsk University, 1997, Russia
Thesis: Inverse Sturm-Liouville Problem with Spectral Parameter Dependent Boundary Conditions
Supervisor: Abraham V. Strauss

M.Sc. Mathematics, Moscow Institute of Physics and Technology, 1990, Russia
Thesis: The Automated Construction of Different Sectional Views for a Three-dimensional Model of the Russian Space Station "Mir".
Supervisor: Michail Komarov

B.Sc  with honours in  Applied Mathematics and Physics, Moscow Institute of Physics and Technology, 1988, Russia


AWARDS

Summer Research Financial Support, School of Mathematical Sciences, University of Nottingham, August 2011

Atkinson Teaching Award for excellence in undergraduate teaching (Applied PDE course), University of Toronto, 2009 - 2010

Summer Research Grant, MACSI (Mathematics Applications Consortium for Science and Industry), University of Limerick, August 2009

NSERC Postdoctoral Fellowship, 2008 - 2010

Best Student Paper Award, IMACS International Conference, Athens, GA, 2007

Summer Scholarship (Stability and Instability of Nonlinear Waves Workshop), 2006

NSERC Graduate Scholarship, 2006 - 2007

Sharcnet Graduate Scholarship, 2004 - 2006

Award for Excellence in Online Teaching, 2001

Insitute of Applied Mathematics Research Grant, 1989

Scholarship of Moscow Institute of Physics and Technology, 1984

Russian Mathematical Olympiad (Far East Region of Russia), First Place with 100/100 points, 1983


RESEARCH SUPERVISION

- 2010-2011, (co-supervision with Mary Pugh and Stephen Morris) Gary Yan (UofT, 3rd year undergraduate student ), the laboratory project "Experimental study of coating flow steady states for low rotation speed regime".

- 2010 (Summer), MITACS-Fields Undergraduate Summer Research Program, (co-supervision with Dmitry Pelinovsky ) Alex Kulyk (Kharkiv Polytechnic Institute, Ukraine, 3rd year undergraduate student), Daniel Badali (UofT, 4th year undergraduate student), Steven Pollack (McGill University, 3rd year undergraduate student), the research project: "Bifurcation analysis of coating flow steady states for low surface tension regime".

- 2010 (Summer), NSERC Undergraduate Summer Research, (co-supervision with Almut Burchard) Dan Ginsberg (UofT, 3rd year undergraduate student ), the research project: "Strong positivity property of weak steady states in coating flows".

- 2009 (Summer), NSERC Undergraduate Summer Research, (co-supervision with Almut Burchard) Weiwei Guo (UofT, 4th year undergraduate student ), the research project: "Numerical analysis of spectral stability of steady states in rimming flows".

 

SERVICE

NSF Grant Review Panelist, 2011

CMS Annual Meeting, co-organizer of special sessions, 2010 and 2012

Fields Institute, co-organizer of a workshop, 2012

UofT, co-organizer of a numerical PDE group seminar, 2009 - 2011

UofT, coordinator of multi-section courses, 2009 - 2012

UofT, judge of Math. Battle and Kangaroo contests, 2009 - 2010

Referee: Nonlinearity, SIAM Journal of Applied Mathematics, Physica D, SIMA

PUBLICATIONS

[1] A. Burchard, M. Chugunova, B. Stephens, Convergence to equilibrium for a thin film equation on a cylindrical surface, Comm. in Partial Differential Equations, accepted [to appear 2012]

[2] D. Badali, M. Chugunova, D.E. Pelinovsky, and S. Pollack, Regularized shock solutions in coating flows with small surface tension, Physics of Fluids, 23, (2011) [pdf]

[3] M. Chugunova, R. Taranets, New dissipated energy for nonnegative weak solution of unstable thin-film equations, Commun. Pure Appl. Anal. Vol. 10(2), 613 - 624, (2011) [pdf]

[4] M. Chugunova, M. Pugh, R. Taranets, Nonnegative solutions for a long-wave unstable thin film equation with convection, SIAM J. Math. Anal. Volume 42, Issue 4, pp. 1826-1853, (2010) [pdf]

[5] A. Burchard, M. Chugunova, On the instability index of a non-selfadjoint differential operator associated with coating and rimming flows, SIAM J. Math. Anal. Volume 43, 357 -- 388, (2011) [pdf]

[6] E. S. Benilov, M. Chugunova, Waves in liquid films on vibrating substrates, Physical Review E 81, 036302 (2010) [pdf]

[7] M. Chugunova, D. Pelinovsky, Count of eigenvalues in the generalized eigenvalue problem, Journal of Mathematical Physics 51, 052901 (2010) [pdf]

[8] M. Chugunova, I. Karabash, and S.G. Paytkov, On the nature of ill-posedness of forward-backward heat equation, Integral Equations and Operator Theory, 65, 319-344, (2009) [pdf]

[9] M. Chugunova, H. Volkmer, Spectral analysis of an operator arising in fluid dynamics, Studies in Applied Mathematics, 123 (3), 291 - 309, (2009) [pdf]

[10] T. Azizov, M. Chugunova, Pontryagin theorem and analysis of the spectral stability of solitons, Mat.Zametki, 8 (5), 643 - 658, (2009) [pdf]

[11] M. Chugunova, H. Volkmer, Study of a differential operator of Heun type arising in fluid dynamics, Operators and Matrices, 3 (4), 525 - 540, (2009) [pdf]

[12] M. Chugunova, D. Pelinovsky, On the uniform convergence of the Chebyshev interpolants for pulse solutions, Math. and Comp. in Simulation, 80 (4), 794 - 803, (2009) [pdf]

[13] M. Chugunova, D. Pelinovsky, On quadatic eigenvalue problems in stability of discrete vortices, Linear Algebra and its Applications, 431, 962 - 973 (2009) [pdf]

[14] M. Chugunova, D. Pelinovsky, Spectrum of a non-self-adjoint operator associated with the periodic heat equation, Journal of Mathematical Analysis and its Applications, 342, 970-988, (2008) [pdf]

[15] M. Chugunova, V. Strauss, Factorization of an indefinite convection-diffusion operator, C. R. Math. Rep. Acad. Sci. Canada Vol. 30 (2), 40–47, (2008) [pdf]

[16] M. Chugunova, D. Pelinovsky, Two-pulse solutions in the fifth-order KdV equation: rigorous theory and numerical approximations, Discr. Cont. Dyn. Syst. B 8,4, 773 - 800, (2007) [pdf]

[17] M. Porter, M. Chugunova, and D. Pelinovsky, Feshbach resonance management of Bose-Einstein condensates in optical lattices, Physical Review E 74, 1 (2006) [pdf]

[18] M. Chugunova, D. Pelinovsky, Block-diagonalization of the symmetric first-order coupled-mode system, SIAM Journal of Applied Dynamical Systems 5, 66-83, (2005) [pdf]

[19] M.Chugunova, (2001) "Inverse spectral problem for the Sturm-Liouville operator with eigenvalue parameter dependent boundary conditions", Operator Theory: Advances and Applications, Birkhauser Verlag Basel, Switzerland, Vol. 123,187-194 [pdf]

[20] M.Chugunova, (2000), "Principal aspects of object-oriented programming", Some questions of teaching mathematics and information science, Ulyanovsk,110 –116 [available on request]

[21] M.Chugunova, (1997),"On the effective methods for the solution of some inverse problems", Funct. Analysis, Ulyanovsk, 36 , 66-75 [available on request]

[22] M.Chugunova, (1994), "An inverse boundary value problem on a finite interval.", Funct. Analysis, Ulyanovsk, 35 , 113--122 [available on request]

[23] M.Chugunova, (1993) "Entire extension of a second-order differentiation operator", Funct. Analysis, Ulyanovsk, 34, 76--79 [available on request]

RECENT PREPRINTS

[1] M. Chugunova, J.R. King, R. Taranets, Uniqueness of the regular waiting-time type solution of the thin film equation, submitted (2011)

[2] Industrial problem solving workshop report on equidistant distribution of the test points on the glue path, (2011)

[3] M. Chugunova, R. Taranets, Nonnegative weak solutions for a degenerate system modelling the spreading of surfactant on thin films, submitted (2011)

[4] M. Chugunova, R. Taranets, Qualitative analysis of coating flows on a rotating horizontal cylinder, submitted (2011)

[5] M. Chugunova, M. Pugh, R. Taranets, Research announcement: Finite–time blow up and long–wave unstable thin film equations, preprint (2010) [pdf]

[6] A. Burchard, M. Chugunova, B. Stephens, Lyapunov's method proves convergence to equilibrium for a thin film equation, preprint (2010) [pdf]

[7] M. Chugunova, R. Taranets, Asymptotic behaviour of nonnegative solutions for a long-wave unstable thin film equation, [in progress] (2010)

[8] M. Chugunova, M. Pugh, R. Taranets, Technical report on a long-wave unstable thin film equation with convection, preprint (2010) [pdf]

[9] M. Chugunova, V. Strauss, On factorization of a perturbation of a J-selfadjoint operator arising in fluid dynamics, preprint (2009) [pdf]


PROFESSIONAL EMPLOYMENT

  • (January 2008 - now), Postdoctoral Fellow, Lecturer
  • - 2011, Techniques of Applied Math: Introductory Numerical Methods for Differential Equations (MAT1508HS (Graduate Course)), Department of Mathematics, University of Toronto
    - 2010, Partial Differential Equations (APM384H1), Department of Mathematics, University of Toronto
    - 2009, Differential Equations (MAT234), Department of Mathematics, University of Toronto
    - 2009, (Course coordinator) Partial Differential Equations (APM346), Department of Mathematics, University of Toronto

    - 2008, (Course coordinator) Differential Equations (MAT234), Department of Mathematics, University of Toronto
    - 2008, Partial Differential Equations (APM346), Department of Mathematics, University of Toronto

  • (Fall 2007), Ph.D student, Tutorial Instructor
- 2007, Engineering Mathematics II, Math.&Stat. Dept. McMaster University

  • (2006 - 2007), Ph.D student, Tutorial Instructor
- 2007, Numerical Linear Algebra, Math.&Stat. Dept. McMaster University
- 2006, Discrete Dynamical Systems and Chaos, Math.&Stat. Dept. McMaster University

  • (2005 - 2006), Ph.D student, Tutorial Instructor
- 2006, Mathematical Physics II, Math.&Stat. Dept. McMaster University
- 2005, Mathematical Physics I, Math.&Stat. Dept. McMaster University
  • (2004 - 2005), Ph.D student, Teaching Assistant
- 2005, Mathematical Physics II, Math.&Stat. Dept. McMaster University
- 2004, Mathematical Physics I, Math.&Stat. Dept. McMaster University
- 2004, Differential Equations, Math.&Stat. Dept. McMaster University
- 2004, Statistical Analysis for Engineering, Math.&Stat. Dept. McMaster University
- 2004, Probability Theory, Math.&Stat. Dept. McMaster University

  • (2003 - 2005), tutoring K-12, Academy for Mathematics & Science, Toronto

- Principles of Mathematics, Grade 9, Academic (MPM1D)
- Science, Grade 9, Academic (SNC1D)
- Principles of Mathematics, Grade 10, Academic (MPM2D)
- Science, Grade 10, Academic (SNC2D)
- Functions and Relations, Grade 11, University Preparation (MCR3U)
- Functions, Grade 11, University/College Preparation (MCF3M)
- Mathematics of Personal Finance, Grade 11, College Preparation (MBF3C)
- Advanced Functions and Introductory Calculus, Grade 12, University Preparation (MCB4U)
- Geometry and Discrete Mathematics, Grade 12, University Preparation (MGA4U)
- Mathematics of Data Management, Grade 12, University Preparation (MDM4U)

  • (2000 - 2003), Research Associate, Sessional Lecturer, Department of Computer Techniques Sciences at the Ulyanovsk Teacher's Training State University

- delivered lectures on topics in numerical methods.
- conducted research on topics of parameter dependent eigenvalue problems.
- developed on-line educational system ((C++, C#.NET))
- developed internet-oriented testing system (C++, C#.NET)

  • (1997 - 2000), Research Associate, Sessional Lecturer, Department of Information Sciences at the Ulianovsk Teacher's Training State University

- delivered lectures on topics in numerical methods.
- conducted seminars on the topics of numerical computing.
- implemented the simulation of physical experiments, corresponding to the problem, in C++ code.

  • (1993 – 1997), software developer, private company Vector +

- developed client - server applications in C++ Builder 5.0 (SQL server 7.0) for different branches of Ulyanovsk Energy Complex.

  • (1990 -1993 ), software developer, Ulianovsk Center of Microelectronics.

- took part in the development of a package to optimize the work of milling machines.
- implemented, in C code, a set of programs to calculate the best surface for cutting faces.

  • (1989-1990), research assistent, Institute of Applied Mathematics

- conducted my graduate research at the Institute of Applied Mathematics of the Russian Academy of Sciences.
- developed a method of automated construction of different sectional views for a three-dimensional model of the Russian Space Station "Mir".
- implemented the numeric scheme of the method in C code and created a graphics package to visualize the computation results.


CERTIFICATIONS

- Microsoft Certified Data Base Administrator (MCDBA).
- Microsoft Certified Programmer (MCP).


PROGRAMMING

Programming Languages And Libraries:
C/C++, Matlab, Maple, MPI, Open MP, Lapack, Petsc, Slepc.

Internet Technologies:
Macromedia Dreamweaver, HTML/DHTML/JavaScript.


REFERENCES

 

Dr. Mary Pugh (Research)
Department of Mathematics,
University of Toronto,
40 St. George Str.,
Toronto,   Ontario
Canada   M5S 2E4
mpugh@math.utoronto.ca
416-978-5233
416-946-0001 (fax)

Dr. Almut Burchard (Research)
Department of Mathematics,
University of Toronto,
40 St. George Str.,
Toronto,   Ontario
Canada   M5S 2E4
almut@math.utoronto.ca
416-978-4174
416-978-4107 (fax)

 
 
 

Dr. Markus Bussmann (Teaching)
Mech. and Industr. Eng.,
University of Toronto,
5 King's College Road.,
Toronto,   Ontario
Canada   M5S 3G8
bussmann@mie.utoronto.ca
416-978-1275
416-978-3453 (fax)

Dr. Robert Jerrard (Teaching)
Department of Mathematics,
University of Toronto,
40 St. George Str.,
Toronto,   Ontario
Canada   M5S 2E4
rjerrard@math.toronto.edu
416-946-5441
416-978-4107 (fax)

 
 
 

Dr. Walter Craig (Research)
Dept. of Mathematics & Statistics
McMaster University
1280 Main Street West
Hamilton, Ontario
Canada  L8S 4K1
craig@math.mcmaster.ca
905-525-9140, ext. 23422
905-522-0935 (fax)

Dr. Dmitry Pelinovsky (Research)
Dept. of Mathematics & Statistics
McMaster University
1280 Main Street West
Hamilton, Ontario
Canada  L8S 4K1
dmpeli@math.mcmaster.ca
905-525-9140, ext. 23424
905-522-0935 (fax)

 
 
 

Dr. Robert McCann (Research)
Department of Mathematics,
University of Toronto,
40 St. George Str.,
Toronto,   Ontario
Canada   M5S 2E4
mccann@math.toronto.edu
416-978-4658
416-978-4107 (fax)

Dr. Yuri Latushkin (Research)
Department of Mathematics
University of Missouri,
Columbia,
MO 65211
yuri @math.missouri.edu
(573) 882-8275
(573) 882-1869 (fax)

 
 
 

Dr. Victor Ivrii (Teaching)
Department of Mathematics,
University of Toronto,
40 St. George Str.,
Toronto,   Ontario
Canada   M5S 2E4
ivrii@math.toronto.edu
416-978-4031
416-978-4107 (fax)

Dr. Vladimir Strauss (Research)
Department of Mathematics
Universidad Simo'n Boli'var
Sartenejas, Baruta, Edo Miranda
Caracas 1080
Venezuela
e-mail: str@usb.ve
(+58)-212-9063283