Regularity and Uniqueness in quasilinear parabolic systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00362723" target="_blank" >RIV/67985840:_____/11:00362723 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10492-011-0020-5" target="_blank" >http://dx.doi.org/10.1007/s10492-011-0020-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10492-011-0020-5" target="_blank" >10.1007/s10492-011-0020-5</a>
Alternative languages
Result language
angličtina
Original language name
Regularity and Uniqueness in quasilinear parabolic systems
Original language description
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. Thenonlinear 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F10%2F2315" target="_blank" >GAP201/10/2315: Mathematical modeling of Processes in Hysteretic Materials</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of Mathematics
ISSN
0862-7940
e-ISSN
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Volume of the periodical
56
Issue of the periodical within the volume
4
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
30
Pages from-to
341-370
UT code for WoS article
000300061400001
EID of the result in the Scopus database
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