Edited Books
1. Fluids and Waves  Recent Trends in Applied Analysis
(coedited 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"
(coedited with F. Rupp and J. Scheurle), World Scientific, New Jersey, 2016.
Refereed Publications
1. Boundary layer analysis of the PhanThienTanner and Giesekus model in high Weissenberg
number flow (with M. Renardy), J. NonNewtonian
Fluid Mech. 73 (1997), 181189.
2. A
semigroup approach to a class of semilinear parabolic differential equations (with J.
Turi), Nonlin. Anal. 34 (1998), 1735.
3. On
a class of nonlinear BBMlike equations (with J. Turi), Comput. Appl. Math. 18 (1998), 161172.
4. A
calculus exam misprintâ€ť (with M. Renardy), SIAM Electr. Probl. Sol. 99005
(1999).
5. On
the equations of fiber spinning in nonisothermal
viscous flow (with M. Renardy), Progr. Nonlin. Diff. Eqs. Appls. 35 (1999),
321348.
6. On
the equations of meltspinning in viscous flow (with M. Renardy), Research Notes in Mathematics 406, Chapman
& Hall/CRC, London (1999), 147157.
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), 97108.
8. On the nonisothermal formation of
polymeric fibers (with M. Renardy), EQUADIFF 99,
Proc. Int. Conf. Diff. Eqs. (Berlin, 1999). Vol.
2, World Scientific, Singapore (2000), 11261128.
9. Eigenvalue
asymptotics in isothermal forced elongation, J.
Math. Anal. Appl. 244 (2000), 393407.
10. Eigenvalue
asymptotics in fiber spinning (with M. Renardy), Proc. XIIIth Int. Congr. Rheol. (Cambridge,
2000), Brit. Soc. Rheol., Vol. 2, Cambridge
(2000), 330332.
11. Eigenvalue
asymptotics in nonisothermal
elongational flow (with M. Renardy),
J. Math. Anal. Appl. 252 (2000), 431443.
12. Nonadiabatic
elongational flows of viscoelastic melts (with
M. Renardy), Zeitsch. Angew. Math. Phys. (ZAMP) 51 (2000), 845866.
13. Studies
on the linear equations of meltspinning of viscous fluids (with M. Renardy), Diff. Int. Eqs. 14
(2001), 1936.
14. On
viscoelastic fluids in elongation, Advances in Mathematics Research. Vol.
1, Nova Science, New York (2002), 187206.
15. On
the effects of spinline cooling and surface
tension in fiber spinning, Zeitsch. Angew. Math. Mech. (ZAMM) 82 (2002), 545558.
16. Jeffreys fluids in forced elongation, J. Math. Anal.
Appl. 288 (2003), 634645.
17. Asymptotic
solutions of characteristic equations, Nonlin.
Anal. Real World Appls. 6 (2005), 429446.
18. On
the semigroup of linearized forced elongation,
Appl. Math. Letters 18 (2005), 667672.
19. Linear
theory of nonisothermal forced elongation, J. Evol. Eqs. 5 (2005), 417440.
20. Advances
in fiber and film flow, Nonlin. Anal. 63 (2005),
e1119e1130.
21. A
numerical study on the suppression of draw resonance by inertia (with B. Langwallner), Zeitsch. Angew. Math. Mech. (ZAMM) 86 (2006), 6370.
22. MP^{3}
for retention of LO_{2} in an accelerating environment (with B.
Simmons, J. Hochstein, S. Collicott, and S.
Griffin), AIAA2006935, Amer. Inst. Aeronaut. Astronaut. (2006).
23. Stability
and regularity results for a sizestructured population model (with J.Z. Farkas), J. Math. Anal. Appl. 328 (2007), 119136.
24. Linear
stability and positivity results for a generalized sizestructured Daphnia
model with inflow (with J.Z. Farkas), Appl.
Anal. 86 (2007), 10871103.
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), 275280.
26. Asymptotic
behavior of sizestructured populations via juvenileadult interaction
(with J.Z. Farkas), Discrete Contin.
Dyn. Syst. Ser. B 9 (2008), 249266.
27. Viscoelastic
sink flow in a wedge for the UCM and OldroydB
models (with
J.D. Evans), J. NonNewtonian Fluid Mech. 154 (2008), 3946.
28. The
effect of shear in fiber spinning (with S. Ceci, C. Frost, and D. Kurmashev), Zeitsch. Angew. Math. Mech. (ZAMM) 89 (2009), 344355.
29. Asymptotic
analysis of a sizestructured cannibalism model with infinite dimensional
environmental feedback (with J.Z. Farkas), Comm.
Pure Appl. Anal. 8 (2009), 18251839.
30. Hierarchical
sizestructured populations: The linearized semigroup
approach (with J.Z. Farkas), Dynam.
Cont. Discrete Impulsive Systems. Ser. A. Math. Analysis 17 (2010),
639657.
31. Nonfailure
of filaments and global existence for the equations of fiber spinning
(with M. Renardy), IMA J. Appl. Math. 76 (2011),
834846.
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), 469488.
33. Analysis
of fiber spinning for the upperconvected Maxwell
fluid (with D. Kurmashev), Nonlin.
Anal. Real World Appls. 13 (2012), 5463.
34. Spectral
and semigroup results for the Stokes operator of
free liquid jets (with S. Ceci), Proc. Dynamic Systems Appls.
6 (2012), 7884.
35. On a linearized problem arising
in NavierStokes flow of a free liquid jet (with
S. Ceci), J.
Math. Anal. Appl. 395 (2012), 131143.
36. On the membrane approximation in isothermal film casting,
Zeitsch. Angew. Math. Phys. (ZAMP) 65 (2014), 729745.
37. On a nonisothermal model of free liquid films (with
S. Ceci),
J. Math. Anal. Appl. 434 (2016), 3551.
38. The
MatovichPearson equations revisited, Dynamical Systems, Number Theory and Applications, World Scientific,
New Jersey (2016), 8598.
Nonrefereed Publications
Wellposedness and global
existence for a class of semilinear equations
(with J. Turi), ICAMReport 960501 (1996).
Work in Progress or under Review
1. Dynamics
of droplet networks of powerlaw liquids (with P. Steen)
2. On the free frostpoint problem
in nonisothermal film casting (with S. Ceci)
3. Global
existence for nonisothermal fiber spinning
Please contact
me via email at thagen@memphis.edu
to obtain reprints of any published paper listed here.
