Il teorema del trasporto per un'interfaccia in moto attraverso una regione di controllo

Alessandro Tiero

Rendiconti del Seminario Matematico della Università di Padova (1994)

  • Volume: 92, page 91-125
  • ISSN: 0041-8994

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Tiero, Alessandro. "Il teorema del trasporto per un'interfaccia in moto attraverso una regione di controllo." Rendiconti del Seminario Matematico della Università di Padova 92 (1994): 91-125. <http://eudml.org/doc/108347>.

@article{Tiero1994,
author = {Tiero, Alessandro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {kinematics of interfaces; Lie derivative operator; transport theorem},
language = {ita},
pages = {91-125},
publisher = {Seminario Matematico of the University of Padua},
title = {Il teorema del trasporto per un'interfaccia in moto attraverso una regione di controllo},
url = {http://eudml.org/doc/108347},
volume = {92},
year = {1994},
}

TY - JOUR
AU - Tiero, Alessandro
TI - Il teorema del trasporto per un'interfaccia in moto attraverso una regione di controllo
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1994
PB - Seminario Matematico of the University of Padua
VL - 92
SP - 91
EP - 125
LA - ita
KW - kinematics of interfaces; Lie derivative operator; transport theorem
UR - http://eudml.org/doc/108347
ER -

References

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  1. [1] R. Abraham - J.E. Marsden - T. Ratiu, Manifolds, Tensor Analysis, and Applications, Applied Mathematical Sciences, Vol. 75, Springer-Verlag, New York (1988). Zbl0875.58002MR960687
  2. [2] S. Angenent - M.E. Gurtin, Multiphase thermomechanics with interfacial structures, II. Evolution of an isotermal interface, Arch. Rational Mech. Anal., 108 (1989), pp. 323-391. Zbl0723.73017MR1013461
  3. [3] M.E. Gurtin - A. Struthers, Multiphase thermomechanics with interfacial structures, III. Evolving phase boundaries in the presence of bulk deformation, Arch. Rational Mech. Anal., 112 (1990), pp. 97-160. Zbl0723.73018MR1073827
  4. [4] M.E. Gurtin - A. Struthers - W.O. Williams, A transport theorem for moving interfaces, Q. Appl. Math., 47, N. 4 (1989). Zbl0686.73004MR1031691
  5. [5] M.W. Hirsch, Differential Topology, Graduate Texts in Mathematics, Vol. 33, Springer-Verlag, New York (1976). Zbl0356.57001MR448362
  6. [6] G.P. Moeckel, Thermodinamics of an interface, Arch. Rational Mech. Anal., 57 (1975), pp. 255-280. Zbl0338.73001MR366245
  7. [7] P.J. Olver, Applications of Lie Groups to Differential Equations, Graduate Texts in Mathematics, Vol. 107, Springer-Verlag, New York (1986). Zbl0588.22001MR836734
  8. [8] Osher - J.A. Sethian, Front propagating with curvature depending speed: algorithms based on Hamilton-Jacoby formulations, J. Comp. Phys., 79 (1990), pp. 12-49. Zbl0659.65132
  9. [9] J.A. Sethian, Curvature and the evolution of fronts, Comm. Math. Phys., 101 (1985), pp. 487-499. Zbl0619.76087MR815197

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