Associate Professor

CURRICULUM VITAE

Michael Shearer

Address: Department of Mathematics

North Carolina State University

Raleigh, North Carolina 27695-8205, USA

e-mail aboqsa@r.postjobfree.com Tel. 919-***-****

Education:

l969 - l972 University of York, Heslington, York

B.A. Mathematics.

1972 - 1975 Wadham College and Mathematical Institute, Oxford

M.Sc., 1973, D. Phil., 1976

Experience:

Professor, North Carolina State University, 1988 - present

.

Associate Professor, North Carolina State University

Fluid Mechanics Research Institute,

University of Essex, 1975 - 1978.

Graduate Students:

Yadong Yang (Ph.D. 1991); Rebecca Segal (Ph.D. 2002); Robert Wieman (Ph.D. 2003),

Rachel Levy (Ph.D. 2005); Lindsay May (Ph.D. 2009)

Ellen Peterson (Ph.D. 2010), Nicholas Giffen (Ph.D. 2010),

Doug Jacobs (MS, 1992), Alan Ho er (MS, 1993), Sergey Myagchilov (MS, 1994),

Chris Wooten (MS, 1995), Matt Schulze (MS, 1996), Jonathan Rowell (MS 1997),

Quinton Anderson (MS 2002), Eddie Rowe (MS 2005), Terrence Ford (MS 2006)

Sarah Torres (MS 2008)

Current Ph.D. students: Kimberly Spayd (2012), Lake Bookman (2013), Kathy Varga (2014).

Postdoctoral scholars: Michael Gordon (1993-5, now faculty at State Univ. of West

Georgia);

Joshua Bostwick (2011{)

Undergraduate Research:

Quinton Anderson (2000), Chris Flake (2002), Meghan McIntyre (2005),

Drumil Patel (2006), Kristoph Kleiner (2006), Nicole Kroeger (2008)

Allison McAllister (2009), Andrew Wright (2010).

Selected Professional Activities:

Editorial Boards: SIAM J. Math. Anal.,

1990-present,

Applicable Analysis,

2010-present

.

SIURO (SIAM Undergraduate Research Online) 2008-present

.

SIAM Science Policy Committee, 2007-present.

SIAM Activity Group in Analysis of PDE: co-founder, 2002; vice-chair 2003-4; chair 2005-

6.

SIAM Committee on the Annual Meeting: 2001-3.

SIAM Committee for SIAM participation in the Joint Mathematics Meetings, 2000-2002.

Co-founder and Co-organizer, Graduate Student Applied Mathematics Seminar, NC State Univ.

Co-founder and faculty advisor, NC State Univ. SIAM student chapter.

Co-organizer:Banff Workshops on Thin Liquid Films, Dec. 2003; Dec. 2012;

Minisymposium on Thin Liquid Films, ICIAM 2011, Vancouver, July, 2011;

Minisymposium on Hyperbolic PDE, SIAM Conference on Analysis of PDE,

Houston, TX, December, 2004;

3-part Minisymposium on Thin Liquid Films, SIAM Annual Meeting,

Denver, CO, July 2009;

The Geometry and Analysis of Dynamical Systems Conference to Celebrate the

Mathematical Contributions of Xiao-Biao Lin and Stephen Schecter. February, 2008;

IPAM

Teaching Activities:

Duke Endowment Award for Teaching, 1985.

NC State University Outstanding Teacher Award, 2006.

LeRoy and Elva Martin Award for Teaching Excellence, 2006.

Leader, Hewlett Challenge Project Mathematics Team, 2002-4.

Microsoft Preparing the Future Professors Program, with Rachel Levy, 2003-4.

NC StatePreparing the Professoriate Graduate Program,

faculty mentor,

2001-2, 2004-5, 2007-8, 2009-10, 2010-11.

Lecture notes: Graduate course in Partial Differential Equations.

Selected Publications:

1. Bifurcation from a multiple eigenvalue. Proceedings of the 1976 Dundee Confer-

ence on Ordinary and Partial Differential Equations. Springer Lecture Notes in

Mathematics564 (1976), 417-424.

2. Small solutions of a nonlinear equation in Banach space for a degenerate case, Proc.

Roy. Soc. Edinburgh79A (1977), 35-49.

3. Bifurcation in the neighborhood of a non-isolated singular point, Israel J. Math. 30

(1978), 363-381.

4. On the null spaces of linear Fredholm operators depending on several parameters,

Math. Proc. Camb. Phil. Soc. 84 (1978), 131-142.

5. Bifurcation of axisymmetric buckled states of a thin spherical shell J. Nonlinear

Analysis - TMA.4 (1980), 699-713.

6. Secondary bifurcation for one-parameter families of bifurcation problems, University

of Essex Report No. 97, 1978.

7. Secondary bifurcation near a double eigenvalue, SIAM J. Math. Anal. 11 (1980),

365-389.

8. One parameter perturbations of bifurcation from a simple eigenvalue, Math. Proc.

Camb. Phil. Soc. 88 (1980), 111-123.

9. (with I. C. Walton), On bifurcation and symmetry in Benard convection and Taylor

vortices, Stud. Appl. Math. 65 (1981), 85-93.

10. Coincident bifurcation of equilibrium and periodic solutions of evolution equations,

J. Math. Anal. Appl. 84 (1981), 113-132.

11. The Riemann problem for a class of conservation laws of mixed type, J. Differential

Equations46 (1982), 426-443.

12. Admissibility criteria for shock wave solutions of a system of conservation laws of

mixed type, Proc. Roy. Soc. Edinburgh93A (1983), 233-244.

13. Elementary wave solutions of the equations describing the motion of an elastic

string,

SIAM J. Math. Anal. 16 (1985), 447-459.

14. The interaction of transverse waves for the vibrating string. Physical Mathematics

and Nonlinear Partial Differential Equations(ed. J.H. Lightbourne, S.M. Rankin).

Lecture Notes in Pure and Applied Mathematics, Vol. 102. Marcel Dekker, 1985.

15. The nonlinear interaction of smooth travelling waves in an elastic string. J. Wave

Motion7 (1985), 169-175.

16. (with D.G. Schaeffer) Three phase flow in a porous medium and the classification

of non-strictly hyperbolic conservation laws. Proceedings of the Third Army Con-

ference on Applied Mathematics and Computing, May 1985.

17. The Riemann problem for the planar motion of an elastic string. J. Differential

Equations,61 (1986), 149-163.

18. Nonuniqueness of admissible solutions of Riemann initial value problems for a system

of conservation laws of mixed type. Arch. Rat. Mech. Anal.,93 (1986), 45-59.

19. Shock waves and bifurcation. Proceedings of the Brazilian National Colloquium(ed.

L. Gama) 1986.

20. (with D.G. Schaeffer), Recent developments in nonstrictly hyperbolic conservation

laws. Proceedings of the Fourth Army Conference on Applied Mathematics and

Computing, May 1986.

21. (with D.G. Schaeffer), Three phase flow in porous media-recent developments in

nonstrictly hyperbolic conservation laws. Advances in Multiphase Flow and Related

Problems(ed. G. Papanicolaou). SIAM 1986.

22. (with D. G. Schaeffer), The classification of 2x2 systems of non-strictly

hyperbolic

conservation laws, with application to oil recovery. Comm. Pure Appl. Math., 40

(1987), 141-178.

23. (with D. G. Schaeffer, D. Marchesin and P. Paes-Leme), Solution of the Riemann

problem for a prototype 2x2 system of non-strictly hyperbolic conservation laws.

Arch. Rat. Mech. Anal. 97 (1987), 299-320.

24. Phase jumps near the Maxwell line. Contemporary Mathematics60 (1987), 111-114.

25. (with D.G. Schaeffer), Riemann problems for nonstrictly hyperbolic 2x2 systems of

conservation laws. Trans. A.M.S.,301 (1987), 267-306.

26. Loss of strict hyperbolicity for the Buckley-Leverett equations of three phase flow

in a porous medium. Numerical Simulation in Oil Recovery(ed. M. Wheeler). IMA

Volumes in Mathematics and its Applications11. Springer, 1987.

27. (with J. Fehribach) The elastic string equations: numerical results using Glimm's

method, and two new exact solutions. CRSC Report, NC State Univ., 1987.

28. Dynamic phase transitions in a van der Waals gas. Quart. Applied Math., 46

(1988), 631-636.

29. (with J. Fehribach) Approximately periodic solutions of the elastic string equations.

Applicable Anal.,32 (1989), 1-14.

75. (with P.G. LeFloch) Nonclassical Riemann solvers with nucleation. Proc. Roy Soc

Edinburgh.,134A (2004), 961-984.

76. (with R. Levy) Comparison of Dynamic Contact Line Models for Driven Thin Liquid

Films. Euro. J. Applied Math.,15 (2004), 625-642.

77. (with R. Levy) Kinetics and nucleation for driven thin film flow. Physica D, 209

(2005), 145-163.

78. (with J.M.N.T. Gray and A.R. Thornton) Time-dependent solutions for particle-size

segregation in shallow granular avalanches. Proc. Roy Soc.,462 (2006), 947-972.

79. (with R. Levy) The Motion of a Thin Liquid Film Driven by Surfactant and Gravity.

SIAM J. Applied Math., 66 (2006), 1588-1609.

80. (with R. Levy and T.P. Witelski) Growing Surfactant Waves in Thin Liquid Films

Driven by Gravity. AMRX2006 (2006), 1-21.

81. (with R. Levy and T.P. Witelski) The influence of insoluble surfactant on the flow

of a thin liquid film down an inclined plane. Euro. J. Appl. Math. 18 (2007),

679-708.

82. (with T.P. Witelski and D.G. Schaeffer) Boundary-Value Problems for Hyperbolic

Equations Related to Steady Granular Flow. Mathematics and Mechanics of Solids

12 (2007), 665-699.

83. (with R. Levy and P. Taylor) Automated Review of Prerequisite Material for

Intermediate-

level Undergraduate Mathematics, PRIMUS,17 (2007), 167-180.

84. (with J.M.N.T. Gray and A.R. Thornton) Stable solutions of a scalar conservation

law for particle-size segregation in dense granular avalanches. Euro. J. Appl. Math.

19 (2008), 61-86.

85. (with M. McIntyre, E.L. Rowe, J.M.N.T. Gray and A.R. Thornton) Evolution of

a Mixing Zone in Granular Avalanches. Appl. Math.Research Express. (AMRX)

2008 (2008), article abm008, 12 pages.

86. (with E. R. Peterson, R. Levy, T. P. Witelski) Stability of Traveling Waves in Thin

Liquid Films Driven by Gravity and Surfactant. Hyperbolic Problems (HYP2008),

ed. E. Tadmor, J.-G. Liu, A. Tzavaras. AMS 2009.

87. (with P. Gremaud and K. Kleiner) Periodic motion of a mass-spring system. IMA

J. Appl. Math. page hxp032, 2009.

88. (with N. Giffen) Shock Formation and Breaking in Granular Avalanches. Discrete

and Continuous Dynamical Systems. 27 (2) (2010), 693-714.

89. (with L.B.H. May and K.E. Daniels) Scalar Conservation Laws with Nonconstant

Coe cients with Application to Particle Size Segregation in Granular Flow. J.

Nonlinear Science. DOI 10.1007/s00332-010-9069-720 (2010), 689-707.

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