Vincent Hall 508
Wednesdays, 3:35--4:35 PM.
Partial Differential Equations, Applied Mathematics.
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.
of Partial Differential Equations:
Energy Methods, Phoenix.
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.
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: 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.
flow at infinite Marangoni
number with A.
Thess and B. Juettner, Phys.
75 (1995), no. 25,