Global Existence and Uniqueness of Weak and Regular Solutions of Shallow Shells with Thermal Effects

Autor:	F. Travessini De Cezaro, G. Perla Menzala
Rok vydání:	2015
Předmět:	Work (thermodynamics) Control and Optimization Applied Mathematics Weak solution 010102 general mathematics Mathematical analysis Type (model theory) 01 natural sciences 010101 applied mathematics Nonlinear system Thermal Shallow shell Uniqueness Boundary value problem 0101 mathematics Mathematics
Zdroj:	Applied Mathematics & Optimization. 74:229-271
ISSN:	1432-0606 0095-4616
DOI:	10.1007/s00245-015-9313-5
Popis:	We study a dynamical thin shallow shell whose elastic deformations are described by a nonlinear system of Marguerre---Vlasov's type under the presence of thermal effects. Our main result is the proof of a global existence and uniqueness of a weak solution in the case of clamped boundary conditions. Standard techniques for uniqueness do not work directly in this case. We overcame this difficulty using recent work due to Lasiecka (Appl Anal 4:1376---1422, 1998).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bf057d1831527f7dd0418c1b6ea9823e https://doi.org/10.1007/s00245-015-9313-5 Zobrazit plný text záznamu Full text from SpringerLink