ZIB

Hits per page

hit 1 - 1 | 1 hit

Select All Export

Unknown

Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits (2022)

Montefusco, Alberto (Dr.) ; Sharma, Upanshu (Dr.) ; Tse, Oliver (Dr.)

add to mindlist on the mindlist

Details

Publication Date: 2024-01-12

Description: We introduce a variational structure for the Fourier-Cattaneo (FC) system which is a second-order hyperbolic system. This variational structure is inspired by the large-deviation rate functional for the Kac process which is closely linked to the FC system. Using this variational formulation we introduce appropriate solution concepts for the FC equation and prove an a priori estimate which connects this variational structure to an appropriate Lyapunov function and Fisher information, the so-called FIR inequality. Finally, we use this formulation and estimate to study the diffusive and hyperbolic limits for the FC system.

Language: English

Type: article , doc-type:article

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

OPUS

Overview

hit 1 - 1 | 1 hit