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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