Homogenization of diffusion equation with scalar hysteresis operator
نویسندگان
چکیده
منابع مشابه
Homogenization of Diffusion Equation with Scalar Hysteresis Operator
The paper deals with a scalar diffusion equation c ut = (F [ux])x+f, where F is a Prandtl-Ishlinskii operator and c, f are given functions. In the diffusion or heat conduction equation the linear constitutive relation is replaced by a scalar Prandtl-Ishlinskii hysteresis spatially dependent operator. We prove existence, uniqueness and regularity of solution to the corresponding initial-boundary...
متن کاملStability Analysis of Scalar Advection-Diffusion Equation
This note recounts detailed stability and accuracy analysis of a scalar advection-diffusion equation.
متن کاملHomogenization of convection-diffusion equation in infinite cylinder
The paper deals with a periodic homogenization problem for a non-stationary convection-diffusion equation stated in a thin infinite cylindrical domain with homogeneous Neumann boundary condition on the lateral boundary. It is shown that homogenization result holds in moving coordinates, and that the solution admits an asymptotic expansion which consists of the interior expansion being regular i...
متن کاملDiffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation
Abstract. The paper deals with the diffusion approximation of the Boltzmann equation for semiconductors in the presence of spatially oscillating electrostatic potential. When the oscillation period is of the same order of magnitude as the mean free path, the asymptotics leads to the Drift-Diffusion equation with a homogenized electrostatic potential and a diffusion matrix involving the small sc...
متن کاملSimultaneous diffusion and homogenization asymptotic for the linear Boltzmann equation
This article is on the simultaneous diffusion approximation and homogenization of the linear Boltzmann equation when both the mean free path ε and the heterogeneity length scale η vanish. No periodicity assumption is made on the scattering coefficient of the background material. There is an assumption made on the heterogeneity length scale η that it scales as ε for β ∈ (0,∞). In one space dimen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2001
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2001.134031