Regularity and Uniqueness in quasilinear parabolic systems

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SYSNO ASEP	0362723
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Regularity and Uniqueness in quasilinear parabolic systems
Author(s)	Krejčí, Pavel (MU-W)_{RID, SAI, ORCID} Panizzi, L. (DE)
Source Title	Applications of Mathematics. - : Springer - ISSN 0862-7940 Roč. 56, č. 4 (2011), s. 341-370
Number of pages	30 s.
Language	eng - English
Country	CZ - Czech Republic
Keywords	parabolic system ; regularity ; uniqueness
Subject RIV	BA - General Mathematics
R&D Projects	GAP201/10/2315 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000300061400001
EID SCOPUS	80052977899
DOI	10.1007/s10492-011-0020-5
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1