A few recorded lectures

Publications and preprints

  1. M. El Smaily and R.L. Jerrard, A refined description of evolving interfaces in certain nonlinear wave equations , preprint.

  2. R. Ignat and R.L. Jerrard, Interaction energy between vortices of vector fields on Riemannian surfaces C. R. Math. Acad. Sci. Paris 355 (2017), no. 5, 515-521.

  3. R.L. Jerrard and D. Smets, Leapfrogging vortex rings for the three-dimensional Gross-Pitaevskii equation, to appear, Ann. PDE.

  4. A. Contreras and R.L. Jerrard, Nearly parallel vortex filaments in the 3d Ginzburg-Landau equations, Geom. Funct. Anal. 27 (2017), no. 5, 1161-1230.

  5. R.L. Jerrard and C. Seis, On the vortex filament conjecture for Euler flows, Arch. Ration. Mech. Anal. 224 (2017), no. 1, 135-172.

  6. P. Athavale, R. L. Jerrard, M. Novaga, and G. Orlandi, Weighted TV minimization and applications to vortex density models , to appear, J. Conv. Anal..

  7. R.L. Jerrard and M.R. Pakzad, Sobolev spaces of isometric immersions of arbitrary dimension and codimension , Ann. Mat. Pura Appl. (4) 196 (2017), no. 2, 687-716.

  8. R.L. Jerrard, A. Moradifam, and A.I. Nachman, Existence and uniqueness of minimizers of general least gradient problems , to appear, Jour. Rein. Angew. Math.

  9. R.L. Jerrard and D. Spirn, Hydrodynamic limit of the Gross-Pitaevskii equation , Comm. Partial Differential Equations 40 (2015), no. 2, 135-190.

  10. R.L. Jerrard, Dynamics of topological defects in nonlinear field theories, Adv. Stud. Pure. Math 67: Variational methods for evolving objects, 157-224, 2015.

  11. B. Galvão-Sousa and R.L. Jerrard, Accelerating fronts in semilinear wave equations, Rend Circ. Mat. Palermo (2), vol. 64, no. 1, 117 - 148, 2015.

  12. R.L. Jerrard and D. Smets, Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation, Annali Scuola Norm. Sup. Pisa, vol. 14, no. 3, 729-766, 2015.

  13. R. Jerrard, M. Novaga, and G. Orlandi, On the regularity of timelike extremal surfaces, Commun. Contemp. Math. 17 (2015), no. 1, 1450048 (19 pages).

  14. M. Czubak and R.L. Jerrard, Topological defects in the abelian Higgs model, DCDS-A, vol. 35, no. 5, 1933 - 1968, 2015.

  15. R.L. Jerrard and D. Smets, On the motion of a curve by its binormal curvature, Jour. Eur. Math. Soc., vol. 17, no. 6, 1487-1515, 2015.

  16. R.L. Jerrard Quantized vortex filaments in complex scalar fields , Proceedings of the 2014 International Congress of Mathematicians, Volume III, Invited Lectures, Seoul 2014, 789-810.

  17. S. Baldo, R.L. Jerrard, G. Orlandi, and H.M. Soner, Vortex density models for superconductivity and superfluidity, Comm. Math. Phys., vol 318, no. 1, 131-171, 2013.

  18. R.L. Jerrard and D. Smets, On Schrödinger maps from T1 to S2, Ann. Sci. ENS, vol. 45, no. 4, 635-678, 2012.

  19. S. Baldo, R.L. Jerrard, G. Orlandi, and H.M. Soner, Convergence of Ginzburg-Landau functionals in 3-d superconductivity, Arch. Rat. Mech. Anal., vol. 205, no. 3, 699-752, 2012.

  20. S. Baldo, R.L. Jerrard, G. Orlandi, and H.M. Soner, Asymptotics for Ginzburg-Landau energies in 3-D condensed matter physics, Comm. Appl. Ind. Math., vol. 2, no. 1, e-368, 2011.

  21. A. Aftalion, R. L. Jerrard, and J. Royo-Letelier, Non existence of vortices in the small density region of a condensate, Jour. Funct. Anal., vol. 260, no. 8, 2387-2406, 2011.

  22. R. L. Jerrard, Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space, Anal. PDE, vol. 4, no. 2, 285-340 2011.

  23. R. L. Jerrard and A. Lorent, On multiwell Liouville theorems in higher dimension , Adv. Calc. Var. 6 (2013), no. 3, 247-298.

  24. R. L. Jerrard, Some rigidity results related to Monge-Ampère functions, Canad. Jour. Math., vol. 62, no. 2,, 320-354, 2010.

  25. R. L. Jerrard and P. Sternberg, Critical points via Gamma-convergence: general theory and applications, Jour. Eur. Math. Soc., vol. 11, no. 4, 705-753, 2009.

  26. A. Aftalion, X. Blanc, and R.L. Jerrard, Mathematical issues in the modelling of supersolids, Nonlinearity, vol. 22, no. 7, 1589-1614, 2009.

  27. R. L. Jerrard Some remarks on Monge-Ampère functions, Singularities in PDE and the Calculus of Variations, CRM Proc. Lecture Notes no. 44, 89-112, 2008.

  28. F. Bethuel, R. L. Jerrard, and D. Smets, On the NLS dynamics for infinite energy vortex configurations on the plane, Rev. Mat. Iberoamericana, vol. 24, no. 2, 671-702, 2008.

  29. R. L. Jerrard and D. Spirn, Refined Jacobian estimates and Gross-Pitaevsky vortex dynamics, Arch. Rat. Mech. Anal., vol. 190, 425-475, 2008.

  30. A. Aftalion, X. Blanc, and R.L. Jerrard, Nonclassical rotational inertia of a supersolid Phys. Rev. Lett., vol. 99, 135301, 2007.

  31. R. L. Jerrard and D. Spirn, Refined Jacobian estimates for Ginzburg-Landau functionals, Indiana Univ. Math. Jour., vol. 56, 135-186, 2007.

  32. R. L. Jerrard, Local minimizers with vortex filaments for a Gross-Pitaevsky functional, ESAIM Contrôle Optim. Calc. Var., vol. 13, 35-71, 2007 .

  33. K. Jegdic and R. L. Jerrard, Convergence of a spacetime discontinuous Galerkin finite element method for a class of hyperbolic systems , SIAM J. Numer. Anal. vol. 44, 1921-1953, 2006.

  34. R. L. Jerrard and N. Jung, Strict convergence and minimal liftings in BV, Proc. Roy. Soc. Edinburgh Sect A, vol. 134, 1163-1176, 2004.

  35. J. Palaniappan, R. B. Haber, and R. L. Jerrard, A spacetime discontinuous Galerkin method for scalar conservation laws, Computer Methods in Applied Mechanics and Engineering, vol. 193, 549-577, 2004.

  36. R. L. Jerrard, J. A. Montero,, and P. Sternberg, Local minimizers of the Ginzburg-Landau energy with magnetic field in three dimensions, Comm. Math. Phys., vol. 249, 151-191, 2004.

  37. A. Aftalion and R. L. Jerrard, Properties of a single vortex solution in a rotating Bose-Einstein condensate, C.R. Math. Acad. Sci. Paris, vol. 336, 713-718, 2003.

  38. R. L. Jerrard, A new proof of the rectifiable slices theorem, Ann. Scuola Norm. Sup. Pisa Cl. Sci (5), vol. 1, 905-924, 2002.

  39. R. L. Jerrard, Vortex filament dynamics for Gross-Pitaevsky type equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci (5), vol. 1, 733-768, 2002.

  40. R. L. Jerrard and H. M. Soner, Limiting behavior of the Ginzburg-Landau functional, J. Funct. Anal., vol. 192, 524-561, 2002.

  41. A. Aftalion and R. L. Jerrard, On the shape of vortices for a rotating Bose-Einstein condensate, Phys. Rev. A, vol. 66, 023611, 2002.

  42. R. L. Jerrard and H. M. Soner, Functions of bounded higher variation, Indiana Univ. Math. Journal., vol. 51, 645-677, 2002.

  43. R. L. Jerrard and H. M. Soner, The Jacobian and the Ginzburg-Landau energy, Calc. Var and PDE, 14, 151-191, 2002.

  44. J. C. Bronski and R. L. Jerrard, Soliton dynamics in a potential, Math. Res. Lett., vol. 7, 329-342, 2000.

  45. R. L. Jerrard and H. M. Soner, Rectifiability of the distributional Jacobian for a class of functions, C. R. Acad. Sci. Paris, Série I vol. 329, 683-688, 1999.

  46. R. L. Jerrard, Vortex dynamics for the Ginzburg-Landau wave equation, Calc. Var. and PDE, vol. 9, 1-30, 1999.

  47. J. E. Colliander and R. L. Jerrard, Ginzburg-Landau vortices: weak stability and Schrödinger equation dynamics, Journal d'Analyse Mathematique, vol. 77, 129-205, 1999.

  48. R. L. Jerrard, Lower bounds for generalized Ginzburg-Landau functionals, SIAM Math. Anal., vol. 30, 721-746, 1999.

  49. R. L. Jerrard and H. M. Soner Scaling limits and regularity results for a class of Ginzburg-Landau systems, Annales l'IHP, Analyse Non Lineaire, vol.16, 423-466, 1999.

  50. R. L. Jerrard Vortex dynamics for conservative Ginzburg-Landau systems, Proceedings of the Seventh Tokyo Conference on Nonlinear PDE, 70-80, 1998.

  51. J. E. Colliander and R. L. Jerrard Vortex dynamics for the Ginzburg-Landau Schrödinger equation, Int. Math. Res. Notices, vol. 1998, 333-358, 1998.

  52. R. L. Jerrard and H. M. Soner, Dynamics of Ginzburg-Landau vortices, Arch. Rat. Mech. Anal., vol.142, 99-125, 1998.

  53. R. L. Jerrard, Singular limits of scalar Ginzburg-Landau equations with multiple-well potentials, Adv Diff Eqns, vol. 2, 1-38, 1997.

  54. R. L. Jerrard Fully nonlinear phase field equations and generalized mean curvature motion, Comm PDE, vol. 20, 233-265, 1995.