Monday, 15 June 2009

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER
Transactions ID Number: 32-556
Full Name: POPESCU MARIUS-CONSTANTIN
Position: Associate Professor
Age: ON
Sex: Male
Address: CRAIOVA, STR. PALTINIS, NR. 59, BL. K-7, AP. 2
Country: ROMANIA
Tel: 0745438287
Tel prefix: 004
Fax: +40251435255
E-mail address: popescu_ctin2006@yahoo.com
Other E-mails: popescu.marius.c@gmail.com
Title of the Paper: Theoretical and Practical Aspects of Heating Equation
Authors as they appear in the Paper: MARIUS-CONSTANTIN POPESCU, GHEORGHE MANOLEA, LILIANA PERESCU-POPESCUNIKOS MASTORAKIS
Email addresses of all the authors: popescu.marius.c@gmail.com ghmanolea@gmail.com mastor@wses.org
Number of paper pages: 10
Abstract: We are interested in a null controllability problem for a class of strongly degenerate heat equations. Heat equation parameters are represented graphically (temperature, heat flux) for a particular situation. Then, first for all T>0, we prove a regional null controllability result at time T at least in the region where the equation is not degenerate. The proof is based on an adequate observability inequality for the homogeneous adjoint problem. This inequality is obtained by application of Carleman estimates combined with the introduction of cut-off functions. Then we improve this result: for all T`>T, we obtain a result of persistent regional null controllability during the time interval [T,T]. We give similar results for the (non degenerate) heat equation in unbounded domain. Analysis by numerical simulation of the heating room space has highlighted that the use of composite materials instead of the usual materials of construction is more advantageous in terms o!
f achieving the microclimate conditions, making possible, within certain limits of temperature exterior, a passive air conditioning, which involves reducing energy consumption.
Keywords: epresentation equations, Control, Null controllability, Air conditioning
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