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Daniel Spirn

School of Mathematics
University of Minnesota


Vincent Hall 508


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



PDE Seminar

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

Research Interests

Partial Differential Equations, Applied Mathematics.

NSF Support


Well-posedness and global behavior of the Peskin problem of an immersed elastic filament in Stokes flow with Y. Mori, A. Rodenberg, 74 pages, submitted. pdf

A model for vortex nucleation in the Ginzburg-Landau equations with G. Iyer, 19 pages. J. Nonlinear Sci. (to appear) pdf

An inverse problem from condensed matter physics with R.-Y. Lai, R. Shankar, G. Uhlmann, 20 pages, submitted. pdf

Gross-Pitaeskii vortex motion with critically-scaled inhomogeneities with M. Kurzke and J. Marzuola, SIAM J. Math. Anal. 49 (2017) 471--500. pdf

Petviashvilli's Method for the Dirichlet Problem with D. Olson, S. Shukla, and G. Simpson, 21 pages, J. Scientific Comp. 66 (2016) 296--320. pdf

Recovering a Potential from Cauchy Data via Complex Geometric Optics Solutions with H.-M. Nguyen, 33 pages. pdf

Hydrodynamic limit of the Gross-Pitaevsky equation with R.Jerrard, Comm. Parial Differential Equations 40 (2015) 135--190. pdf

Vortex liquids and the Ginzburg-Landau equation with M. Kurzke, Forum Math. Sigma 2 (2015) 135--190. pdf

Exploring Vortex Dynamics in the Presence of Dissipation: Analytical and Numerical Results with D. Yan, R. Carretero-Gonzalez, D.J.Frantzeskakis, P.G. Keverekidis, N.P Proukakis, Physical Rev. A 89 (2014) 043613-1. pdf

Vortex dynamics in the presence of excess energy for the Landau-Lifschitz-Gilbert equation with M. Kurzke, C. Melcher, and R. Moser, Calc. Var. Partial Differential Equations 49 (2014) 1019-1043. pdf

On the regularity of the flow map for the gravity-capillary equations with R.M. Chen, J. Marzuola, and J.D. Wright, J. Funct. Anal. 264 (2013) 752--782. pdf

Asymptotic behavior and symmetry of condensate solutions in electroweak theory with R.M. Chen and Y.J. Guo, J. Anal. Math. 117 (2012) 47--85. pdf

Gamma stability and vortex motion in type II superconductors with M. Kurzke, Comm. Partial Differential Equations 36 (2011) 256--292. pdf

Ginzburg-Landau vortices driven by the Landau-Lifschetz-Gilbert equations with M. Kurzke, C. Melcher, and R. Moser, Arch. Ration. Mech. Anal. 199 (2011) 843--888. pdf

Quantitative equipartition of the Ginzburg-Landau energy with applications with M. Kurzke, Indiana U. J. Math. 59 (2010) 2077--2092. pdf

Linear dispersive decay estimates for the 3+1 dimensional water wave equation with surface tension with D. Wright, Can. Math. Bull. 55 (2012) 176--187. 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.