首页> 美国卫生研究院文献>Proceedings. Mathematical Physical and Engineering Sciences >Moving boundary problems governed by anomalous diffusion
【2h】

Moving boundary problems governed by anomalous diffusion

机译:由异常扩散控制的移动边界问题

代理获取
本网站仅为用户提供外文OA文献查询和代理获取服务,本网站没有原文。下单后我们将采用程序或人工为您竭诚获取高质量的原文,但由于OA文献来源多样且变更频繁,仍可能出现获取不到、文献不完整或与标题不符等情况,如果获取不到我们将提供退款服务。请知悉。

摘要

Anomalous diffusion can be characterized by a mean-squared displacement 〈x2(t)〉 that is proportional to tα where α≠1. A class of one-dimensional moving boundary problems is investigated that involves one or more regions governed by anomalous diffusion, specifically subdiffusion (α<1). A novel numerical method is developed to handle the moving interface as well as the singular history kernel of subdiffusion. Two moving boundary problems are solved: the first involves a subdiffusion region to the one side of an interface and a classical diffusion region to the other. The interface will display non-monotone behaviour. The subdiffusion region will always initially advance until a given time, after which it will always recede. The second problem involves subdiffusion regions to both sides of an interface. The interface here also reverses direction after a given time, with the more subdiffusive region initially advancing and then receding.
机译:异常扩散的特征在于均方根位移〈x 2 (t)〉与t α成正比,其中α≠1。研究了一类一维运动边界问题,该问题涉及一个或多个受异常扩散(特别是亚扩散(α<1))控制的区域。开发了一种新颖的数值方法来处理运动界面以及子扩散的奇异历史核。解决了两个移动边界问题:第一个涉及界面一侧的子扩散区域,而另一侧涉及经典扩散区域。该界面将显示非单调行为。子扩散区域将始终始终先行到指定的时间,此后它将始终后退。第二个问题涉及到界面两侧的子扩散区域。在给定的时间之后,此处的界面也会反转方向,其中次亚扩散区域会先行然后回退。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
代理获取

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