EuDML | Browse

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 1 of 1

Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary $p$ -summable right-hand side

Pierre-Etienne Druet (2010)

Applications of Mathematics

We consider a model for transient conductive-radiative heat transfer in grey materials. Since the domain contains an enclosed cavity, nonlocal radiation boundary conditions for the conductive heat-flux are taken into account. We generalize known existence and uniqueness results to the practically relevant case of lower integrable heat-sources, and of nonsmooth interfaces. We obtain energy estimates that involve only the $L^{p}$ norm of the heat sources for exponents $p$ close to one. Such estimates are...

Currently displaying 1 – 1 of 1

Page 1

Displaying 1 – 1 of 1

Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary p -summable right-hand side

Currently displaying 1 – 1 of 1

Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary $p$ -summable right-hand side