Determination of Robin coefficient in a fractional diffusion problem

An undetermined coefficient problem for a fractional diffusion equation

We consider a fractional diffusion equation (FDE) = a D u a t u C t xx ( ) with an undetermined time-dependent diffusion coefficient a(t). Firstly, for the direct problem part, we establish the existence, uniqueness and some regularity properties of the weak solution for this FDE with a fixed a t . ( ) Secondly, for the inverse problem part, in order to recover a t , ( ) we introduce an operato...

A Generalized Thermo-Elastic Diffusion Problem in a Functionally Graded Rotating Media Using Fractional Order Theory

A generalized thermo-elastic diffusion problem in a functionally graded isotropic, unbounded, rotating elastic medium due to a periodically varying heat source in the context of fractional order theory is considered in our present work. The governing equations of the theory for a functionally graded material with GNIII model are established. Analytical solution of the problem is derived in Lapl...

Determination of the diffusion coefficient of hydrogen ion in hydrogels.

The role of diffusion in chemical pattern formation has been widely studied due to the great diversity of patterns emerging in reaction-diffusion systems, particularly in H+-autocatalytic reactions where hydrogels are applied to avoid convection. A custom-made conductometric cell is designed to measure the effective diffusion coefficient of a pair of strong electrolytes containing sodium ions o...

Determination of 222Rn Diffusion Coefficient in Japanese Soils

Department of Nuclear Engineering, Graduate School of Enginering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Japan ABSTRACT Radon (Rn) diffusion coefficient as one of some important parameters of Rn transport in the soil has been measured using soil radon diffusion monitor (SRDM). The system of SRDM consists of two scintillation detectors, sample container located between these detectors,...

Determination of the Lithium Ion Diffusion Coefficient in Graphite