Traveling wave solutions of the heat flow of director fields

M. Bertsch; I. Primi

Annales de l'I.H.P. Analyse non linéaire (2007)

  • Volume: 24, Issue: 2, page 227-250
  • ISSN: 0294-1449

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Bertsch, M., and Primi, I.. "Traveling wave solutions of the heat flow of director fields." Annales de l'I.H.P. Analyse non linéaire 24.2 (2007): 227-250. <http://eudml.org/doc/78733>.

@article{Bertsch2007,
author = {Bertsch, M., Primi, I.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {harmonic maps; topological degree; relaxed energy; point singularity},
language = {eng},
number = {2},
pages = {227-250},
publisher = {Elsevier},
title = {Traveling wave solutions of the heat flow of director fields},
url = {http://eudml.org/doc/78733},
volume = {24},
year = {2007},
}

TY - JOUR
AU - Bertsch, M.
AU - Primi, I.
TI - Traveling wave solutions of the heat flow of director fields
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2007
PB - Elsevier
VL - 24
IS - 2
SP - 227
EP - 250
LA - eng
KW - harmonic maps; topological degree; relaxed energy; point singularity
UR - http://eudml.org/doc/78733
ER -

References

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  3. [3] Bertsch M., Muratov C., Primi I., Traveling wave solutions of harmonic heat flow, Calc. Var. Partial Differential Equations26 (2006) 489-509. Zbl1098.35076MR2235884
  4. [4] M. Bertsch, I. Primi, Non uniqueness of the traveling wave speed for harmonic heat flow, preprint, 2005. 
  5. [5] Bertsch M., Podio-Guidugli P., Valente V., On the dynamics of deformable ferromagnets. I. Global weak solutions for soft ferromagnets at rest, Ann. Mat. Pura Appl.CLXXIX (2001) 331-360. Zbl1097.74017MR1848770
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  12. [12] Hardt R., Lin F.H., Poon C.C., Axially symmetric harmonic maps minimizing a relaxed energy, Comm. Pure Appl. Math.14 (1992) 417-459. Zbl0769.58013MR1161539
  13. [13] Jost J., Harmonic mappings between Riemannian manifolds, in: Proc. Centre Math. Analysis, Canberra, Australian National University Press, 1983. Zbl0542.58001MR756629
  14. [14] Kawohl B., Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Mathematics, vol. 1150, Springer-Verlag, Berlin, 1985. Zbl0593.35002MR810619
  15. [15] I. Primi, Nonuniqueness of the heat flow of director fields, in preparation. 
  16. [16] Matano H., Nonincrease of the lap-number of a solution for a one-dimensional semilinear parabolic equation, J. Fac. Sci. Univ. Tokyo Sect. IA Math.29 (2) (1982) 401-441. Zbl0496.35011MR672070
  17. [17] Pisante A., Reverse bubbling of currents and harmonic heat flows with prescribed singular set, Calc. Var. Partial Differential Equations19 (4) (2004) 337-378. Zbl1059.58010MR2039458
  18. [18] I. Primi, Traveling Waves of Director Fields, PhD thesis, University of Rome “La Sapienza”, 2005. 
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