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Research           Thomas Hagen

 

 

 

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Research Interests

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletAnalysis, including real, complex and functional analysis, dynamical systems

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletPartial Differential Equations, including semigroup theory and evolution equations

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletRheology and Fluid Mechanics, including viscoelastic fluids and free liquid fibers/films

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletPopulation Dynamics

Former Graduate Students

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletJames S. Richardson, M.S. 2008

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletCatherine Frost, M.S. 2010

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletDias Kurmashev, Ph.D. 2010

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletShaun Ceci, Ph.D. 2011

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletSalahuddin Mohammad Masum, M.S. 2014

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: bulletBenjamin Jenkins, M.S. 2014

Edited Books

1. Fluids and Waves - Recent Trends in Applied Analysis (co-edited with F. Botelho and J. Jamison), Contemporary Mathematics 440, Amer. Math. Soc., Providence, 2007.

2. Dynamical Systems, Number Theory and Applications: A Festschrift in Honor of Armin Leutbecher's 80th Birthday" (co-edited with F. Rupp and J. Scheurle), World Scientific, New Jersey, 2016.

Refereed Publications

1. Boundary layer analysis of the Phan-Thien-Tanner and Giesekus model in high Weissenberg number flow (with M. Renardy), J. Non-Newtonian Fluid Mech. 73 (1997), 181-189.

2. A semigroup approach to a class of semilinear parabolic differential equations (with J. Turi), Nonlin. Anal. 34 (1998), 17-35.

3. On a class of nonlinear BBM-like equations (with J. Turi), Comput. Appl. Math. 18 (1998), 161-172.

4. A calculus exam misprint” (with M. Renardy), SIAM Electr. Probl. Sol. 99-005 (1999).

5. On the equations of fiber spinning in nonisothermal viscous flow (with M. Renardy), Progr. Nonlin. Diff. Eqs. Appls. 35 (1999), 321-348.

6. On the equations of melt-spinning in viscous flow (with M. Renardy), Research Notes in Mathematics 406, Chapman & Hall/CRC, London (1999), 147-157.

7. Stability issues in nonisothermal elongational flow (with M. Renardy), Nonlinear pde's, dynamics and continuum physics (Mount Holyoke, 1998), Contemporary Mathematics 255, Amer. Math. Soc., Providence (2000), 97-108.

8. On the non-isothermal formation of polymeric fibers (with M. Renardy), EQUADIFF 99, Proc. Int. Conf. Diff. Eqs. (Berlin, 1999). Vol. 2, World Scientific, Singapore (2000), 1126-1128.

9. Eigenvalue asymptotics in isothermal forced elongation, J. Math. Anal. Appl. 244 (2000), 393-407.

10. Eigenvalue asymptotics in fiber spinning (with M. Renardy), Proc. XIIIth Int. Congr. Rheol. (Cambridge, 2000), Brit. Soc. Rheol., Vol. 2, Cambridge (2000), 330-332.

11. Eigenvalue asymptotics in nonisothermal elongational flow (with M. Renardy), J. Math. Anal. Appl. 252 (2000), 431-443.

12. Non-adiabatic elongational flows of viscoelastic melts (with M. Renardy), Zeitsch. Angew. Math. Phys. (ZAMP) 51 (2000), 845-866.

13. Studies on the linear equations of melt-spinning of viscous fluids (with M. Renardy), Diff. Int. Eqs. 14 (2001), 19-36.

14. On viscoelastic fluids in elongation, Advances in Mathematics Research. Vol. 1, Nova Science, New York (2002), 187-206.

15. On the effects of spinline cooling and surface tension in fiber spinning, Zeitsch. Angew. Math. Mech. (ZAMM) 82 (2002), 545-558.

16. Jeffreys fluids in forced elongation, J. Math. Anal. Appl. 288 (2003), 634-645.

17. Asymptotic solutions of characteristic equations, Nonlin. Anal. Real World Appls. 6 (2005), 429-446.

18. On the semigroup of linearized forced elongation, Appl. Math. Letters 18 (2005), 667-672.

19. Linear theory of nonisothermal forced elongation, J. Evol. Eqs. 5 (2005), 417-440.

20. Advances in fiber and film flow, Nonlin. Anal. 63 (2005), e1119-e1130.

21. A numerical study on the suppression of draw resonance by inertia (with B. Langwallner), Zeitsch. Angew. Math. Mech. (ZAMM) 86 (2006), 63-70.

22. MP3 for retention of LO2 in an accelerating environment (with B. Simmons, J. Hochstein, S. Collicott, and S. Griffin), AIAA-2006-935, Amer. Inst. Aeronaut. Astronaut. (2006).

23. Stability and regularity results for a size-structured population model (with J.Z. Farkas), J. Math. Anal. Appl. 328 (2007), 119-136.

24. Linear stability and positivity results for a generalized size-structured Daphnia model with inflow (with J.Z. Farkas), Appl. Anal. 86 (2007), 1087-1103.

25. High frequency asymptotics for a class of solutions of the Poisson equation and an application to free liquid films, Mathematical Problems in Engineering and Aerospace Sciences (Budapest, 2006), Cambridge Sci. Publ., Cambridge (2007), 275-280.

26. Asymptotic behavior of size-structured populations via juvenile-adult interaction (with J.Z. Farkas), Discrete Contin. Dyn. Syst. Ser. B 9 (2008), 249-266.

27. Viscoelastic sink flow in a wedge for the UCM and Oldroyd-B models (with J.D. Evans), J. Non-Newtonian Fluid Mech. 154 (2008), 39-46.

28. The effect of shear in fiber spinning (with S. Ceci, C. Frost, and D. Kurmashev), Zeitsch. Angew. Math. Mech. (ZAMM) 89 (2009), 344-355.

29. Asymptotic analysis of a size-structured cannibalism model with infinite dimensional environmental feedback (with J.Z. Farkas), Comm. Pure Appl. Anal. 8 (2009), 1825-1839.

30. Hierarchical size-structured populations: The linearized semigroup approach (with J.Z. Farkas), Dynam. Cont. Discrete Impulsive Systems. Ser. A. Math. Analysis 17 (2010), 639-657.

31. Non-failure of filaments and global existence for the equations of fiber spinning (with M. Renardy), IMA J. Appl. Math. 76 (2011), 834-846.

32. On fiber spinning of viscoelastic liquids without viscous solvent stresses (with D. Kurmashev), Advances in Engineering Research. Vol. 3, Nova Science, New York (2012), 469-488.

33. Analysis of fiber spinning for the upper-convected Maxwell fluid (with D. Kurmashev), Nonlin. Anal. Real World Appls. 13 (2012), 54-63.

34. Spectral and semigroup results for the Stokes operator of free liquid jets (with S. Ceci), Proc. Dynamic Systems Appls. 6 (2012), 78-84.

35. On a linearized problem arising in Navier-Stokes flow of a free liquid jet (with S. Ceci), J. Math. Anal. Appl. 395 (2012), 131-143.

36. On the membrane approximation in isothermal film casting, Zeitsch. Angew. Math. Phys. (ZAMP) 65 (2014), 729-745.

37. On a non-isothermal model of free liquid films (with S. Ceci), J. Math. Anal. Appl. 434 (2016), 35-51.

38. The Matovich-Pearson equations revisited, Dynamical Systems, Number Theory and Applications, World Scientific, New Jersey (2016), 85-98.

Nonrefereed Publications

Well-posedness and global existence for a class of semilinear equations (with J. Turi), ICAM-Report 96-05-01 (1996).

Work in Progress or under Review

1. Dynamics of droplet networks of power-law liquids (with P. Steen)

2. On the free frost-point problem in non-isothermal film casting (with S. Ceci)

3. Global existence for nonisothermal fiber spinning

 

Please contact me via e-mail at thagen@memphis.edu to obtain reprints of any published paper listed here.

 

 

 

 

 

 

 

 

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Date: 08/16/2016
Thomas Hagen