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<p class="MsoNormal"><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Sayin Liste Uyeleri,<br>
<br>
Gebze Teknik Üniversitesi (GTU</span>) <span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">
Matematik Bölümü Genel Seminerleri kapsamında,<br>
7 Nisan Cuma günü saat 14:00'da </span>Mansur I. Ismaliov<span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"> (Gebze
Teknik Üniversitesi) bir seminer verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.<br>
<br>
Saygılarımızla.<o:p></o:p></span></p>
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Dear all,</span></p>
<p class="MsoNormal"><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><br>
There will be a seminar in Gebze Technical University (GTU) on 7th of<br>
April by </span>Mansur I. Ismailov<span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"> (GTU)<br>
Time and place: At 14:00 in Department of Mathematics, Building I, Seminar room.<br>
<br>
<span style="font-family: Calibri, Arial, Helvetica, sans-serif;">Title: </span><span style="text-align: center; font-size: 12pt; font-family: Calibri, Arial, Helvetica, sans-serif;">An Externally Controlled Problem for Heat Equation with Nonlocal Wentzell-Neumann
Boundary Condition</span></span></p>
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<span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="text-align: center; font-size: 12pt; font-family: Calibri, Arial, Helvetica, sans-serif;"></span>Abstract: <span style="text-align: justify; font-size: 12pt;">We
shall investigate the inverse source problem for the heat equation with the non-local Wentzell-Neumann boundary and the integral overdetermination conditions. Under some regularity, consistency and orthogonality conditions on the data, the existence, uniqueness
and stability of the classical solution will be exhibited by using the generalized Fourier method. This study enables us to arrive at some conclusions on an externally controlled problem. The external energy is supplied to a target at a controlled level by
the microwave generating equipment. The dielectric constant of the target material varies in space and time, this results spatially heterogeneous conversion of electromagnetic energy to heat which corresponds to the source term in form r(t)f(x,t). Here, r(t)
is proportional to power of external energy source and f(x,t) is local conversion rate of microwave energy. It is necessary to notice that the spatial variation of absorbing material does not greatly affect the thermal diffusivity which is due to existence
of another material at higher concentration. We additionally point out that the temperature is not so high, so that we may omit the temperature dependence of dielectric constant as in the case of thermal runaway studies. If u(x,t) denotes the concentration
of absorbed energy, then its integral over all volume of material determines the time dependence absorbed energy. The inverse source problem for such a model gives an idea on how total energy content might be externally controlled when the boundary of the
material is supported by the non-local Wentzell-Neumann boundary condition.</span>
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