Write $($do not analyze!$)$ a model for the temperature distribution $u(t,x,y)$ in the two$-$dimensional

domain

$D=\{-3x2,-1y1\}$

for $t0,$ such that there is a heat source $Q=Q(t,x,y)$ in the domain; the initial temperature is

$u(0,x,y)=U_0(x,y)$; on the edges $x=-3,y=-1$ the temperature is prescribed as $u(t,-3,y)=u_{-3}(y)$

and $u(t,x,-1)=u_{-1}(x)$; the system is insulated on the edge $x=2$; finally, there is a heat exchange

condition with coefficient $h$ and ambient temperature $u_{\text{a}\text{m}\text{b}}$ on the edge $y=1.$