2015/07/20 by Santwana Mukhopadhyay, Rainer Picard, Mukhopadhyay, Santwana +5
Engineering · Mathematics · Physics and Astronomy · #35F15 #35M32 #35Q74 #Analysis of PDEs (math.AP) #Elasticity and Wave Propagation #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena #math-ph #math.AP #math.MP #msc:35F15 #msc:35M32 #msc:35Q74
paper · pdf · doi:10.48550/arxiv.1507.05411
17 pages
arxiv created 2015/07/20 · openalex publication_date 2015/07/20 · arxiv updated 2015/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We discuss the so-called two-temperature model in linear thermoelasticity and provide a Hilbert space framework for proving well-posedness of the equations under consideration. With the abstract perspective of evolutionary equations, the two-temperature model turns out to be a coupled system of the elastic equations and an abstract ode. Following this line of reasoning, we propose another model being entirely an abstract ode. We highlight also an alternative way for a two-temperature model, which might be of independent interest.