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A Remark on Global Existence in H^4 for a Nonlinear Thermoviscoelasticity Equations with Non-monotone Pressure
  • ISSN号：1002-0462
  • 期刊名称：《数学季刊：英文版》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Applied Mathematics, Donghua University, Shanghai 201620, China, [2]College of Information Science and Technology, Donghua University, Shanghai 201620, China
  • 相关基金：Foundation item： Supported by the NNSF of China（10571024）
作者： QIN Yu-ming[1], MA Zhi-yong[2], HUANG Lan[2]
关键词： 广义存在性, 非单调流体, 边界模型, 预先估计, global existence, non-monotone fluid, mixed free boundary model, priori estimates
中文摘要：

我们考虑 nutron 星的一个一个维的连续模型，与状态的一个非单调方程由一个可压缩的 thermoviscoelastic 系统描述了由于在 particles.We 之间的原子相互作用将证明那的有效 Skyrme ，尽管有可能的使动摇，压力影响，它是非单调并且不总是积极，粘性和足够的热驱散的存在为我们的模型与一个混合免费边界问题在 H4 描述答案的全球存在。

英文摘要：

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 describe the global existence of solutions in H^4 with a mixed free boundary problem for our model.

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期刊信息
  • 《数学季刊：英文版》
  • 北大核心期刊（2004版）
  • 主管单位:
  • 主办单位:河南大学
  • 主编：胡和生 林群
  • 地址：河南省开封市明伦街85号河南大学
  • 邮编：475001
  • 邮箱：
  • 电话：0378-3881698
  • 国际标准刊号：ISSN：1002-0462
  • 国内统一刊号：ISSN：41-1102/O1
  • 邮发代号:36-170
  • 获奖情况:
  • 1998年河南省优秀科技期刊二等奖. 2000年河南省优...
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  • 被引量:468