Daniel Spirn

Assistant Professor
Department of Mathematics
University of Minnesota
Minneapolis, MN  55455

Office:

Vincent Hall 112b

Phone:
Dept:
Fax:

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

Email:

spirn (at) math.umn.edu



Teaching


Fall 2008
Teaching
Math 
Office Hours
Spring 2009
Course

MA 1372, IT Calculus II;
Office Hours


Minnesota PDE Seminar

Wednesdays, 3:35-4:35 PM.



Research Interests

partial differential equations, applied mathematics.


Recent Conferences

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

Gamma stability and vortex motion in type II superconductors  with M. Kurzke, 48 pages, submitted. pdf

Ginzburg-Landau vortices driven by the Landau-Lifschetz-Gilbert equations  with M. Kurzke, C. Melcher, and R. Moser, 38 pages, submitted. pdf

Quantitative equipartition of the Ginzburg-Landau energy with applications with M. Kurzke, 12 pages, preprint. 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, 21 pages, to appear in Indiana U. J. Math. pdf

Electrically and magnetically charged vortices in the Chern-Simons-Higgs theory with M. Chen, Yu. Guo, and Y. Yang, 21 pages, submitted. pdf

Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy  with X. Yan, 18 pages, to appear in ESAIM: COCV. 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, 30 pages, to appear in Comm. Math. Sci. pdf

Symmetric Chern-Simons-Higgs vortices with 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 Schroedinger-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.

Last modified on May 09
Comments and questions to Daniel Spirn (spirn (at) math.umn.edu).