Chinese Quarterly Journal of Mathematics ›› 2022, Vol. 37 ›› Issue (1): 1-9.doi: 10.13371/j.cnki.chin.q.j.m.2022.01.001

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Well-Posedness for Timoshenko System with Thermodiffusion Effects and Delay

  

  1. Department of Mathematics, Donghua University
  • Received:2021-11-21 Online:2022-03-30 Published:2022-03-30
  • Contact: QIN Yu-ming (1963-), male, native of Jiaozuo, Henan, professor of Donghua University, engages in infinite dimensional dynamical system E-mail:yuming@dhu.edu.cn.
  • About author:QIN Yu-ming (1963-), male, native of Jiaozuo, Henan, professor of Donghua University, engages in infinite dimensional dynamical system; HAN Ning (1997-), female, native of Zhoukou, Henan, master of Donghua University, engages in infinite dimensional dynamical system.
  • Supported by:
    Supported by the NNSF of China (Grant No. 12171082); Fundamental Funds for the Central Universities (Grant No. 2232021G-13).

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Abstract:  In this paper, we study the well-posedness for the thermoelastic Timoshenko system with a constant delay and mass diffusion effects. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam. The C 0 -semigroup theory will be used to prove the well-posedness of the considered problem.

Key words: Timoshenko system, Well-posedness, Delay, C 0 -semigroup theory

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