ETH Zürich D-MATH

List of publications of Tristan Rivière

List of publications of Tristan Rivière


Books and monographs:
  • with F. Pacard : Linear and Non-linear Aspects of Vortices, Birkhäuser (2000)
  • Integrability by Compensation in the Analysis of Conformally Invariant Problems. (2009) pdf file

Articles:
75. : Sequences of Smooth Global Isothermic Immersions arXiv (2012) pdf file
74. : with P. Laurain :Energy Quantization for Biharmonic Maps arXiv:1112.5393 (2011) pdf file
73. : with P. Laurain : Angular Energy Quantization for Linear Elliptic Systems with Antisymmetric Potentials and Applications arXiv:1109.3599 (2011) pdf file
72. : with Y. Bernard : Energy Quantization for Willmore Surfaces and Applications arXiv:1106.3780 (2011) pdf file
71. : with Y. Bernard : Aymptotic Analysis of Branched Willmore Surfaces, arXiv:1106.4642 pdf file
70. : Lipschitz conformal Immersions from degenerating Surfaces with L2-bounded Second Fundamental Form. , preprint (2010) pdf file
69. : Variational Principles for immersed Surfaces with L2-bounded Second Fundamental Form. , preprint (2010) pdf file
68. : with M. Petrache : Weak closure of singular abelian L^p-bundles in 3-dimensions, to appear in G.A.F.A. (2010) pdf file
67. : Sub-criticality of Schrödinger Systems with Antisymmetric Potentials, J. Math. Pures Appl. (9) 95 (2011), no. 3, 260–276. pdf file
66. with F. Da Lio : Sub-criticality of non-local Schrödinger systems with antisymmetric potential and applications to half harmonic maps, Advances in Math. 227 (2011) 1300-1348. pdf file
65. with M. Blaser : A Minimality Property for Entropic Solutions to Hyperbolic Scalar Conservation Law in 1+1 Dimensions, Comm. P.D.E. 35 (2010), no. 10, 1763–1801 pdf file
64. with F. Da Lio : 3-commutator estimates and the regularity of 1/2-harmonic maps into spheres, Analysis and PDE 4 (2011), no. 1, 149--190. pdf file
63. with C. Bellettini : The regularity of Special Legendrian Integral Cycles, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (2010) pdf file
62. Error Analysis for the Willmore-Helfrich Functional, Oberwolfach Report, workshop on the Mathematics of biomembranes (2008). pdf file
61. with Y. Bernard : Local Palais Smale Sequences for the Willmore Functional, preprint (2008) pdf file
60. with T. Kessel : Singular bundles with bounded L^2 curvatures, Bull. U.M.I. volume dedicated to the memory of Guido Stampacchia, 1 (2008), no 3, 881-901. pdf file
59. The role of Integrability by Compensation in Conformal Geometric Analysis, to appear in Analytic aspects of problems from Riemannian Geometry S.M.F. (2008) pdf file
58. Analysis aspects of Willmore surfaces, Inventiones Math., 174 (2008), no.1, 1-45 pdf file
57. Lois de conservations pour les \'equations de Schrödinger à potentiels antisym\'etriques. GDR EDP Evian (2006) ps file
56. with T. Lamm : Conservation laws for fourth order systems in four dimensions. Comm.P.D.E., 33 (2008), no. 2, 245-262. ps file
55. with M. Struwe : Partial regularity for harmonic maps, and related problems. Comm. Pure and Applied Math., 61 (2008), no. 4, 451-463 ps file
54. Sobolev critical exponents of rational homotopy groups . Pure and App. Math. Quarterly, issue in honor of L.Simon, 3 (2007) 615-630, no 2 ps file
53. Conservation laws for conformal invariant variational problems . Invent. Math., 168 (2007), 1-22.ps file
52. with D. Pumberger : Uniqueness of tangent cones for semi-calibrated 2-cycles . Duke Math. J. 152 (2010), no 3, 441-480.ps file
51. with R. Hardt : Connecting Rational Homotopy Type Singularities . Acta Math., 200 (2008), 15-83.ps file
50. with P. Strzelecki : A sharp non-linear Gagliardo-Nirenberg type estimate and applications to the regularity of elliptic systems . Comm. PDE, 30 (2005).ps file
49. with G.Tian : The Singular Set of 1-1 Integral Currents. Annals of Math. (2) 169 (2009), no. 3, 741-794.pdf file
48. Approximating J-holomorphic curves by holomorphic ones. Calc. Var. and PDE, 21 (2004).ps file
47. A lower-epiperimetric inequality for area minimizing surfaces. Comm. Pure and App. Math., 57 (2004).ps file
46. with C.Delellis : The Rectifiability of Entropy Measures in one Space dimension. Journal de Math. Pures et App. 82 (2003).ps file
45. Bubbling, quantization and regularity issues in geometric non-linear analysis, ICM Beijing (2002).ps file
44. with M.Lecumberry : The rectifiability of shock waves for the solutions of genuinely non-linear scalar conservation laws in "Structures geometriques des parois..." these de Doctorat de l'universite de Nantes (2003).ps file
43. Parois et vortex en micromagn\'etime, Analyse des EDP \`a Forges-les-eaux 3-7 juin 2002.ps file
42. with L.Ambrosio, B. Kirchheim and M.Lecumberry : Rectifiability of defect measures arising in micromagnetic domains, Volume dedicated to the 80th birthday of O. Ladyzhenskaya, Kluwer Academic (2002).ps file
41. with L.Ambrosio and M.Lecumberry : Viscosity property of minimizing micromagnetic configurations, to appear in Comm. Pure and App. Math., 56 (2003).ps file
40. with F.Alouges and S.Serfaty : Wall energies of micromagnetic materials with strong planar anisotropy, to appear in COCV, volume \`a la m\'emoire de J.L.Lions (2002).ps file
39. with G.Tian : The singular set of J-holomorphic maps into algebraic varieties, Journal Reine und Angew. Math., 570 (2004).ps file
38. with M.Lecumberry : Regularity property for Micromagnetic configurations having zero jump energy, Calc of Var. and PDE, 15 (2002).ps file
37. with A.Aftalion : Vortex energy and vortex bending for a rotating Bose-Einstein condensate, Physical Review A, 64, 043611 (2001)1-7.ps file
36. with Y.Meyer : Partial Regularity for a class of stationary Yang-Mills Fields, Rev. Math. Iberoamericana, 19, (2003), 195-219.ps file
35. with S.Serfaty : Compactness, kinetic formulation and entropies for a problem related to Micromagnetics, to appear in Comm. PDE (2002).ps file
34. with R. Hardt : Ensembles singuliers topologiques dans les espaces fonctionnels entre varietes, Seminaire EDP, Ecole Polytechnique, No.7, 14p, (2000).ps file
33. Interpolation Spaces and Energy Quantization for Yang-Mills Fields, to appear in Comm. Ana. Geom. (2002).ps file
32. with M.R. Pakzad : Weak density of smooth maps for the Dirichlet Energy between manifolds, submitted (2001).ps file
31. with R. Hardt : Connecting Topological Hopf Singularities, to appear in Ann. Scuo. Normale Sup. Pisa (2003).ps file
30. with F.H. Lin : Quantization property for moving Line vortices, Comm. Pure App. Math., 54, (2001), 826-850.ps file
29. High-dimensional Helicities and rigidity of linked Foliations, to appear in Asian J. Math. (2002).ps file
28. with S. Serfaty : Limiting domain wall Energy for a Problem related to Micromagnetism, Comm. Pure App. Math., 54, (2001), 294-338.ps file
27. with F.H. Lin : Energy Quantization for Harmonic Maps, to appear in Duke Math. J. (2001).ps file
26. with F.H. Lin : A Quantization property for static Ginzburg-Landau Vortices, Comm. Pure App. Math., 54, (2001), 206-228.ps file
25. Ginzburg Landau Vortices - The static Model, Bourbaki Seminar expose no 868, (1999).
24. On Dense subsets of $H^{\frac{1}{2}}(S^2,S^1)$}, Glob. Anal. and Geom., 18, 5, (2000), 517-528.
23. Towards Jaffe and Taubes Conjectures in the strongly repulsive limit , to appear in Manuscr. Math.ps file
22. On the use of differential forms for the Skyrme Problem, Letters in Math. Phy., 45, 3, 229-238 (1998).
21. with F. Pacard : On the set of Minimizers of the Ginzburg-Landau Functional in dimension 2 in "Harmonic Morphisms, Harmonic Maps and related Topics" Pitman Research notes in Math. Series, CRC Press.
20. with F.H. Lin : Complex Ginzburg-Landau Equations in high dimensions and codimension 2 Minimal surfaces, J. European Math. Soc., 1, (1999) 3, 237-311.
19. Asymptotic analysis for the Ginzburg-Landau Equations Mini-course ETH Zuerich 1997, Bolletino UMI, 2-B, (1999) 8, 537-575.pdf file
18. Minimizing Fibrations and $p$-Harmonic maps in Homotopy Classes from $S^3$ into $S^2$, Comm. Anal. Geom., 6, (1998), 427-483.
17. Line vortices in the $U(1)$-Higgs Model, C.O.C.V., vol 1, 1996, 77-167.
16. Lignes de tourbillons dans le mod\`ele ab\'elien de Higgs}, C.R.Acad.Sc. Paris, 321, (1995), 73-76.
15. with F.Bethuel : Fonctionnelle de Ginzburg-Landau pour la supraconductivite, Expose au seminaire EDP de l'Ecole Polytechnique, Exp. No. 16, 12p. (1994).
14. with D.Ye : Resolutions of the prescribed volume form equation, NoDEA, 3, (1996), 323-369..ps file
13. with D.Ye : Une resolution de l'equation a forme volume prescrite, C.R.Acad.Sc. Paris, 319, (1994), 25-28.
12. with F.Bethuel : Vortices for a variational problem related to Superconductivity, Annales de l'I.H.P., Analyse non lineaire, 12 (1995), 243-303.
11. with H.Brezis and F.Merle : Quantization effects for $-\Delta u=u\, (1-|u|^2)$ in ${\mathbb{R}}^2$}, Arch. Rat. Mech. and Anal, 126, (1994),pp 123-145.
10. with H.Brezis and F.Merle : Effets de quantification pour $-\Delta u=u\, (1-|u|^2)$ sur ${\mathbb{R}}^2$}, C.R.Acad.Sc. Paris, 317, (1993), pp 57-60.
9. Everywhere discontinuous Harmonic Maps into Spheres, Acta Matematica, 175, (1995),197-226.
8. Harmonic maps with values into Torii of revolution, published in `` Applications harmoniques entre varietes'': These de l'universite Paris 6, (1993).
7. Flot des applications harmoniques en dimension deux, published in `` Applications harmoniques entre varietes'': These de l'universite Paris 6, (1993).
6. Infinites des applications harmoniques a valeur dans une sphere pour une condition au bord donnee, published in `` Applications harmoniques entre varietes'': These de l'universite Paris 6, (1993).
5. Harmonic maps from $B^3$ into $S^2$ having a line of singularities, published in `` Applications harmoniques entre varietes'': These de l'universite Paris 6, (1993).
4. Applications harmoniques partout discontinues, Seminaires EDP, Ecole Polytechnique, XIX, (1992)
3. Applications harmoniques de $B^3$ dans $S^2$ partout discontinues, C.R.Acad.Sc. Paris, 314, (1992), pp 719-723.
2. Applications harmoniques de $B^3$ dans $S^2$ ayant une ligne de singularites, C.R.Acad.Sc. Paris, 313, (1991), pp 583-587.
1. with I.Shafrir : Asymptotic analysis of minimizing harmonic maps of region bounded by two cylinders, C.R.Acad.Sc. Paris, 313, (1991), pp 503-508.

 


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