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Daniel Spirn

Professor
School of Mathematics
University of Minnesota

Office:

Vincent Hall 508

Phone:
Dept:
Fax:

(612) 625-1349
(612) 625-2004
(612) 626-2017

Email:

spirn(at)math.umn.edu



Teaching

MA 3593,


PDE Seminar

Wednesdays, 3:35--4:35 PM.


Research Interests

Partial Differential Equations, Applied Mathematics.


Recent Conferences

Differential and topological problems in modern theoretical physics, Trieste, Italy. April 26-30, 2010.

SIAM Conference on Analysis of Partial Differential Equations, Singularities in the Calculus of Variations and PDE, Miami.  December 7-10, 2009.

The Gross-Pitaevskii equation and related topics, Porquellores, France. October 12-17, 2008.

SIAM Conference on Analysis of Partial Differential Equations: Energy Methods, Phoenix. December 10-12, 2007.

Workshop on Singularities in PDE and the Calculus of Variations, Centre de Recherches Mathematiques, Montreal. July 17-21, 2006.

SIAM Conference on Analysis of Partial Differential Equations: Contemporary Developments in Calculus of Variations and PDE, Boston. July 10-12, 2006.

Limit problems in Analysis, Lorentz Center, Leiden. May 1-5 2006.

55th Midwest PDE Seminar, Purdue University, West Lafayette. April 9-10, 2005.

Mathematical Aspects of Material Sciences, Hokkaido University, Sapporo. March 4, 2005.



Publications

Vortex dynamics in the presence of excess energy for the Landau-Lifschitz-Gilbert equation with M. Kurzke, C. Melcher, and R. Moser, 21 pages, submitted. pdf

On the regularity of the flow map for the gravity-capillary equations with R.M. Chen, J. Marzuola, and J.D. Wright, 30 pages, to appear in J. Funct. Anal.. pdf

Vortex liquids and the Ginzburg-Landau equation with M. Kurzke, 55 pages, submitted. pdf

Asymptotic behavior and symmetry of condensate solutions in electroweak theory with R.M. Chen and Y.J. Guo, 28 pages, to appear in J. Anal. Math.. pdf

Gamma stability and vortex motion in type II superconductors with M. Kurzke, 34 pages, to appear in Comm. Partial Differential Equations. pdf

Ginzburg-Landau vortices driven by the Landau-Lifschetz-Gilbert equations with M. Kurzke, C. Melcher, and R. Moser, 38 pages, to appear in Arch. Ration. Mech. Anal. pdf

Quantitative equipartition of the Ginzburg-Landau energy with applications with M. Kurzke, 12 pages, to appear in Indiana U. J. Math. pdf

Linear dispersive decay estimates for the 3+1 dimensional water wave equation with surface tension with D. Wright, 12 pages, to appear in Can. Math. Bull. pdf

Dynamics of Ginzburg-Landau vortices in a mixed flow with M. Kurzke, C. Melcher, and R. Moser, Indiana U. J. Math. 58 (2009), 2597--2621. pdf

Electrically and magnetically charged vortices in the Chern-Simons-Higgs theory with R.M. Chen, Y.J. Guo, and Y. Yang, Proc. Royal Soc. London Ser. A. 465 (2009), 3489--3516. pdf

Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy  with X. Yan, ESAIM: COCV16 (2010), 23--36. pdf

Minimizers of the nonself-dual Chern-Simons-Higgs energy near the first critical field  with X. Yan, Calc. Var. Partial Differential Equations 35 (2009), 1--37. pdf

Linear dispersive decay estimates for vortex sheets with surface tension with D. Wright, Comm. Math. Sci. 7 (2009), 521--547. pdf

Symmetric Chern-Simons-Higgs vortices with R.M. Chen, Comm. Math. Phys. 285 (2009), 1005--1031. pdf

On the energy of superconductors in large and small domains with M. Kurzke, SIAM J. Math. Anal. 40 (2009), 2077--2104. pdf

On the energy of a Chern-Simons-Higgs vortex lattice with M. Kurzke, CRM Proceedings and Lecture Notes 44 (2008), 127--152. pdf

Scaling limits of the Chern-Simons-Higgs energy with M. Kurzke, Commun. Contemp. Math. 10 (2008), 1--16. pdf

Gamma-Limit of the nonself-dual Chern-Simons-Higgs energy with M. Kurzke, J. Funct. Anal. 244 (2008), 535--588. pdf

Dynamics near unstable interfacial fluids with Y. Guo and C. Hallstrom, Comm. Math. Phys. 270 (2007), 635--689. pdf

Refined Jacobian estimates and the Gross-Pitaevsky equations with R. Jerrard, Arch. Ration. Mech. Anal. 190 (2008), 425--475. pdf

Refined Jacobian estimates for the Ginzburg-Landau functional with R. Jerrard,  Indiana U. J. Math. 56 (2007), 135--186. pdf

Dynamics Near an Unstable Kirchhoff Ellipse with Y. Guo and C. Hallstrom, Comm. Math. Phys. 245 (2004), 297--354. pdf

Vortex motion laws for the Schrödinger-Ginzburg-Landau equations, SIAM J. Math. Anal. 43 (2003), 1435--1476. pdf

Vortex dynamics of the full time-dependent Ginzburg-Landau equations, Comm. Pure Appl. Math. 55 (2002), no. 5, 537--581.

A two-dimensional model for slow convection at infinite Marangoni number with A. Thess and B. Juettner, J. Fluid Mech. 331 (1997), 283--312.

Viscous flow at infinite Marangoni number with A. Thess and B. Juettner, Phys. Rev. Lett. 75 (1995), no. 25, 4614--4617.