Daniel Spirn
Assistant Professor
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Office: |
Vincent Hall 112b |
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Phone: |
(612) 625-1349 |
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Email: |
Teaching
| Fall 2008 | |||
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| Teaching | |||
| Math | |||
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| 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.