Work

A qualitative analysis on the double porous thermoelastic bodies with microtemperature

Year: 2024

Type: article

Abstract: This study examines a mixed initial-boundary value problem in thermoelastic materials with a double porosity structure, taking into account the effects of microtemperature. The existence of a solution is established by converting the problem into a Cauchy-type problem. Given the complexity of the equations, unknowns, and conditions, we apply contraction semigroup theory within a specific Hilbert space. We prove the existence of a solution using the Lax-Milgram theorem. Additionally, the uniqueness of the solution is demonstrated based on the Lumer-Phillips corollary, which corresponds to the Hille-Yosida theorem. In the final section, we show the continuous dependence of the solution on the mixed initial-boundary value problem for double porous thermoelasticity with microtemperature.

Source: Continuum Mechanics and Thermodynamics

DOI: 10.1007/s00161-024-01330-3

Authors: O. A. Florea, E. M. Craciun, A. Öchsner, A. N. Emin

Institutions: Transylvania University of Brașov, Ovidius University, Academia Oamenilor de Știință din România, Esslingen University of Applied Sciences

Language: English

Topic: Thermoelastic and Magnetoelastic Phenomena

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

OpenAlex ID: W4402943421