Research           Thomas Hagen

 
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Research Interests

bulletApplied Analysis, including real, complex and functional analysis, dynamical systems
bulletPartial Differential Equations, including semigroup theory and evolution equations
bulletRheology, including free fibers/films and viscoelasticity
bulletPopulation Dynamics

The research on free fibers and films is supported by the National Science Foundation.

 

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

  5. “Stability issues in nonisothermal elongational flow” (with M. Renardy), in J. Bona, K. Saxton and R. Saxton, Eds., Nonlinear pde's, dynamics and continuum physics (Mount Holyoke, 1998). Cont. Math. 255, Amer. Math. Soc., Providence (2000), 97-108.

  6. “On the equations of melt-spinning in viscous flow” (with M. Renardy), in J. Necas, W. Jäger and J. Stara, Eds., Partial differential equations (Prague, 1998). Chapman & Hall/CRC, London (2000), 147-157.

  7. “On the non-isothermal formation of polymeric fibers” (with M. Renardy), in B. Fiedler et. al., Eds., EQUADIFF 99, Proc. Int. Conf. Diff. Eqs. (Berlin, 1999). Vol. 2, World Scientific, Singapore (2000), 1126-1128.

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

  9. “Eigenvalue asymptotics in fiber spinning” (with M. Renardy), in D.M. Binding et al., Eds., Proc. XIIIth Int. Congr. Rheol. (Cambridge, 2000). Brit. Soc. Rheol., Vol. 2, Cambridge (2000), 330-332.

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

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

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

  13. “On viscoelastic fluids in elongation”, in G. Oyibo, Ed., Advances in Mathematics Research. Vol. 1, Nova Science, New York (2002), 187-206.

  14. “On the effects of spinline cooling and surface tension in fiber spinning”, Zeitsch. Angew. Math. Mech. (ZAMM), 82/8 (2002), 545-558.

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

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

  17. “On the semigroup of linearized forced elongation”, Appl. Math. Letters, 18/6 (2005), 667-672.

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

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

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

  21. “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).

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

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

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

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

  26. “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.

Nonrefereed Publications

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

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

                     

Preprints - Work in Progress

  1. “Hierarchical size-structured populations: The linearized semigroup approach” (with J.Z. Farkas), submitted.

  2. “Asymptotic analysis of a size-structured cannibalism model with infinite dimensional environmental feedback” (with J.Z. Farkas), submitted.

  3. “Linear transport subject to elliptic constraints in film casting”, in progress.
     


Please contact me via e-mail at thagen@memphis.edu to obtain paper copies or other reprints.

 
 
       

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Date: 09/23/08
Thomas Hagen