2024
DOI: 10.1007/s00161-024-01330-3
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A qualitative analysis on the double porous thermoelastic bodies with microtemperature

O. A. Florea,
E. M. Craciun,
A. Öchsner
et al.

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 solut… Show more

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