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  • Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma.
  • Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma. (en)
Title
  • Regularity and Uniqueness in quasilinear parabolic systems
  • Regularity and Uniqueness in quasilinear parabolic systems (en)
skos:prefLabel
  • Regularity and Uniqueness in quasilinear parabolic systems
  • Regularity and Uniqueness in quasilinear parabolic systems (en)
skos:notation
  • RIV/67985840:_____/11:00362723!RIV12-AV0-67985840
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(GAP201/10/2315), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 4
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  • 226269
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  • RIV/67985840:_____/11:00362723
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  • parabolic system; regularity; uniqueness (en)
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  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [42EC9C1DEF3C]
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  • Applications of Mathematics
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  • 56
http://linked.open...iv/tvurceVysledku
  • Krejčí, Pavel
  • Panizzi, L.
http://linked.open...ain/vavai/riv/wos
  • 000300061400001
http://linked.open...n/vavai/riv/zamer
issn
  • 0862-7940
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10492-011-0020-5
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