...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Discrete and continuous dynamical systems▼hSeries S >THERMISTOR SYSTEMS OF p(x)-LAPLACE-TYPE WITH DISCONTINUOUS EXPONENTS VIA ENTROPY SOLUTIONS
【24h】

THERMISTOR SYSTEMS OF p(x)-LAPLACE-TYPE WITH DISCONTINUOUS EXPONENTS VIA ENTROPY SOLUTIONS

机译：通过熵解获得具有不连续指数的p（x）-Laplace型热敏系统

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We show the existence of solutions to a system of elliptic PDEs, that was recently introduced to describe the electrothermal behavior of organic semiconductor devices. Here, two difficulties appear: (i) the elliptic term in the current-flow equation is of p(x)-Laplacian-type with discontinuous exponent p, which limits the use of standard methods, and (ii) in the heat equation, we have to deal with an a priori L~1 term on the right hand side describing the Joule heating in the device. We prove the existence of a weak solution under very weak assumptions on the data. Our existence proof is based on Schauder's fixed point theorem and the concept of entropy solutions for the heat equation. Here, the crucial point is the continuous dependence of the entropy solutions on the data of the problem.
机译：我们展示了椭圆形PDE系统的解决方案的存在，该解决方案最近被用来描述有机半导体器件的电热行为。在此出现两个困难：（i）电流方程中的椭圆项是p（x）-拉普拉斯型，指数不连续p，这限制了标准方法的使用；（ii）在热方程中，我们必须在右边处理一个先验L〜1项，描述设备中的焦耳热。我们在非常弱的数据假设下证明了弱解的存在。我们的存在性证明是基于Schauder不动点定理和热方程的熵解的概念。在这里，关键点是熵解对问题数据的连续依赖。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号