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

Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (4): 607-611.

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

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)；

Abstract

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

CLC Number:

O175.29

QIN Yu-ming, A Zhi-yong, HUANG Lan. A Remark on Global Existence in H⁴ for a Nonlinear Thermoviscoelasticity Equations with Non-monotone Pressure[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(4): 607-611.

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

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