Daniel
Spirn
Associate Professor
|
|
Office: |
Vincent Hall 508 |
|
|
|
|
Phone: |
(612) 625-1349 |
|
|
|
|
Email: |
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
Illposedness of the gravity-capillary equations with R.M. Chen, J. Marzuola, and J.D. Wright, 30 pages, submitted. 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: COCV. 16 (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.