数学季刊 ›› 2007, Vol. 22 ›› Issue (4): 607-611.

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对具有非单调压力的非线性热粘弹方程在H4中解的整体存在性的注记

  

  1. 1.Department of Applied Mathematics,Donghua University,Shanghai 201620,China;2.College of Information Science and Technology,Donghua University,Shanghai 201620,China
  • 收稿日期:2006-12-20 出版日期:2007-12-30 发布日期:2023-10-23
  • 作者简介: QIN Yu-ming(1963-), male, native of Jiaozuo, Henan, a professor of Donghua University, Ph.D., engages in nonlinear partial differential equations.
  • 基金资助:
     Supported by the NNSF of China(10571024)；

A Remark on Global Existence in H4 for a Nonlinear Thermoviscoelasticity Equations with Non-monotone Pressure

  1. 1.Department of Applied Mathematics,Donghua University,Shanghai 201620,China;2.College of Information Science and Technology,Donghua University,Shanghai 201620,China
  • Received:2006-12-20 Online:2007-12-30 Published:2023-10-23
  • About author: QIN Yu-ming(1963-), male, native of Jiaozuo, Henan, a professor of Donghua University, Ph.D., engages in nonlinear partial differential equations.
  • Supported by:
     Supported by the NNSF of China(10571024)；

PDF (PC)

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摘要： We consider a one-dimensional continuous model of nutron star,described by a compressible thermoviscoelastic system with a non-monotone equation of state,due to the effective Skyrme nuclear interaction between particles.We will prove that,despite a possible, destabilizing influence of the pressure,which is non-monotone and not always positive,the presence of viscosity and a sufficient thermal dissipation dcscribc the global existence of solutions in H4 with a mixed free boundary problem for our model. 

关键词: global existence, non-monotone ffuid, mixed free boundary model, priori esti- mates

Abstract: We consider a one-dimensional continuous model of nutron star,described by a compressible thermoviscoelastic system with a non-monotone equation of state,due to the effective Skyrme nuclear interaction between particles.We will prove that,despite a possible, destabilizing influence of the pressure,which is non-monotone and not always positive,the presence of viscosity and a sufficient thermal dissipation dcscribc the global existence of solutions in H4 with a mixed free boundary problem for our model. 

Key words: global existence, non-monotone ffuid, mixed free boundary model, priori esti- mates

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