Publications and preprints
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A. Colinet, R. L. Jerrard and P. Sternberg,
Solutions of the Ginzburg-Landau equations with vorticity concentrating near a nondegenerate geodesic
, preprint.
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R. L. Jerrard and D. Smets,
Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation
, Calc Var PDE, 60 (2021) no. 4, Paper No. 127, 34 pp.
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A. Contreras and R. L. Jerrard,
Local minimizers with unbounded vorticity for the 2d Ginzburg-Landau functional
, Comm. Pure. Appl. Math., 75 (2022) no. 9, 1997-2032.
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R. Ignat and R. L. Jerrard,
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds, Arch. Rat. Mech Anal., DOI10.1007/s00205-020-01598-0.
- R.L. Jerrard and C. Maor,
Geodesic distance for right-invariant metrics on diffeomorphism groups - critical Sobolev exponents
, Ann. Glob. Anal. Geom., 56 (2019) no. 2, 351-360, DOI 10.1007/s10455-019-09670-z.
- M. del Pino, R.L. Jerrard and M. Musso,
Interface dynamics in semilinear wave equations
,Comm. Math. Phys. 373 (2020), no. 3, 971-1009.
- R.L. Jerrard and C. Maor,
Vanishing geodesic distance for right-invariant Sobolev metrics on diffeomorphism groups
, Ann. Glob. Anal. Geom., 55 (2019) no. 4, 631-656, DOI 10.1007/s10455-018-9644-y.
This paper contains a link to some animations, and the link seems to be broken
in at least some online versions. The correct link is here.
- M. El Smaily and R.L. Jerrard,
A refined description of evolving interfaces in certain nonlinear wave equations
,
NoDEA 25 (2018), no. 2, 25:15.
- 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.
- R.L. Jerrard and D. Smets,
Leapfrogging vortex rings for the three-dimensional Gross-Pitaevskii equation,
Ann. PDE 4 (2018), no. 1, Art. 4, 48 pp.
- 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.
- R.L. Jerrard and C. Seis,
On the vortex filament conjecture for Euler flows,
Arch. Ration. Mech. Anal. 224 (2017), no. 1, 135-172.
- P. Athavale, R. L. Jerrard, M. Novaga, and G. Orlandi,
Weighted TV minimization and applications to vortex density models
, J. Convex Anal. 24 (2017), no. 4, 1051-1084
- 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.
- R.L. Jerrard, A. Moradifam, and A.I. Nachman,
Existence and uniqueness of minimizers of general least gradient problems
,
J. Reine Angew. Math. 734 (2018), 71-97.
- R.L. Jerrard and D. Spirn,
Hydrodynamic limit of the Gross-Pitaevskii equation
,
Comm. Partial Differential Equations 40 (2015), no. 2, 135-190.
- R.L. Jerrard,
Dynamics of topological defects in nonlinear field theories,
Adv. Stud. Pure. Math 67: Variational methods for evolving objects,
157-224, 2015.
- 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.
- 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.
- R. Jerrard, M. Novaga, and G. Orlandi,
On the regularity of timelike extremal surfaces,
Commun. Contemp. Math. 17 (2015), no. 1, 1450048 (19 pages).
- M. Czubak and R.L. Jerrard,
Topological defects in the abelian Higgs model, DCDS-A,
vol. 35, no. 5, 1933 - 1968, 2015.
- 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.
- 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.
- 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.
- R.L. Jerrard and D. Smets,
On Schrödinger maps from T1 to S2, Ann. Sci. ENS, vol. 45, no. 4, 635-678, 2012.
- 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.
- 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.
- 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.
- R. L. Jerrard,
Defects in semilinear wave equations and timelike minimal surfaces in
Minkowski space, Anal. PDE, vol. 4, no. 2, 285-340 2011.
- R. L. Jerrard and A. Lorent,
On multiwell Liouville theorems in higher dimension
,
Adv. Calc. Var. 6 (2013), no. 3, 247-298.
- R. L. Jerrard,
Some rigidity results related to Monge-Ampère functions,
Canad. Jour. Math., vol. 62, no. 2,, 320-354, 2010.
- 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.
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A. Aftalion, X. Blanc, and R.L. Jerrard,
Mathematical issues in the modelling of supersolids, Nonlinearity, vol. 22, no. 7, 1589-1614, 2009.
- 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.
- 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.
- R. L. Jerrard and D. Spirn,
Refined Jacobian estimates and Gross-Pitaevsky vortex dynamics,
Arch. Rat. Mech. Anal., vol. 190, 425-475, 2008.
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A. Aftalion, X. Blanc, and R.L. Jerrard,
Nonclassical rotational inertia of a supersolid
Phys. Rev. Lett., vol. 99, 135301, 2007.
- R. L. Jerrard and D. Spirn,
Refined Jacobian estimates for Ginzburg-Landau functionals,
Indiana Univ. Math. Jour., vol. 56, 135-186, 2007.
- R. L. Jerrard,
Local minimizers with vortex filaments for a
Gross-Pitaevsky functional,
ESAIM Contrôle Optim. Calc. Var., vol. 13, 35-71, 2007 .
- 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.
- R. L. Jerrard and N. Jung,
Strict convergence and minimal liftings in BV,
Proc. Roy. Soc. Edinburgh Sect A, vol. 134, 1163-1176, 2004.
- 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.
- 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.
- 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.
- R. L. Jerrard, A new proof of the rectifiable slices theorem,
Ann. Scuola Norm. Sup. Pisa Cl. Sci (5), vol. 1, 905-924, 2002.
- R. L. Jerrard, Vortex filament dynamics for Gross-Pitaevsky type equations,
Ann. Scuola Norm. Sup. Pisa Cl. Sci (5), vol. 1, 733-768, 2002.
- R. L. Jerrard and H. M. Soner,
Limiting behavior of the Ginzburg-Landau functional,
J. Funct. Anal., vol. 192, 524-561, 2002.
- A. Aftalion and R. L. Jerrard,
On the shape of vortices for a rotating Bose-Einstein condensate,
Phys. Rev. A, vol. 66, 023611, 2002.
- R. L. Jerrard and H. M. Soner,
Functions of bounded higher variation,
Indiana Univ. Math. Journal., vol. 51, 645-677, 2002.
- R. L. Jerrard and H. M. Soner,
The Jacobian and the Ginzburg-Landau energy,
Calc. Var and PDE, 14, 151-191, 2002.
- J. C. Bronski and R. L. Jerrard,
Soliton dynamics in a potential,
Math. Res. Lett., vol. 7, 329-342, 2000.
- 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.
- R. L. Jerrard,
Vortex dynamics for the Ginzburg-Landau wave equation,
Calc. Var. and PDE, vol. 9, 1-30, 1999.
- 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.
- R. L. Jerrard,
Lower bounds for generalized Ginzburg-Landau functionals,
SIAM Math. Anal., vol. 30, 721-746, 1999.
- 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.
- R. L. Jerrard
Vortex dynamics for conservative Ginzburg-Landau systems,
Proceedings of the Seventh Tokyo Conference on Nonlinear PDE, 70-80, 1998.
- J. E. Colliander and R. L. Jerrard
Vortex dynamics for the Ginzburg-Landau Schrödinger
equation, Int. Math. Res. Notices,
vol. 1998, 333-358, 1998.
- R. L. Jerrard and H. M. Soner,
Dynamics of
Ginzburg-Landau vortices, Arch. Rat. Mech. Anal., vol.142,
99-125, 1998.
- R. L. Jerrard,
Singular limits of scalar Ginzburg-Landau equations with
multiple-well potentials, Adv Diff Eqns, vol. 2, 1-38, 1997.
- R. L. Jerrard
Fully nonlinear phase field equations and generalized mean
curvature motion, Comm PDE, vol. 20, 233-265, 1995.