Nonlinear aggregation-diffusion equations

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:gxmvsgxm
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
  A large variety of stationary and dynamic patterns are the results of the competition between nonlinear diffusion and aggregation effects,including the well-known Patlak-Keller-Segel system.These systems are typically modelled from the collective behaviour of individuals,as the kinetic and/or continuum description based on mean-field type PDEs.
其他文献
  We will discuss recent results on the local convergence of Anderson Acceleration.This is an algorithm for accelerating the convergence of fixed point or Pic
会议
  Anderson acceleration has demonstrated significant benefits in accelerating fixed point solutions in a number of applications.The method,however,adds new sy
会议
  We develop an efficient numerical method to compute effective properties for media with varying microstructures.We achieve essentially equal accuracy to tha
会议
  Continued growth in the complexity of computational models has resulted in an increased demand for solution methods for nonlinear problems with characterist
会议
  Engineers manually optimizing a structure using simulation software often employ an iterative approach where in each iteration they change the structure and
会议
  We present an approach for the optimization of the microstructure of a material,in order to minimize its compliance.The current microstructure is modelled a
会议
  With this Minisymposium we aim to gather leading researchers in the field of numerical multiscale methods,i.e.methods that are constructed to efficiently ta
会议
  In this talk,we discuss an aggregation equation with a constraint on the maximum density.We will discuss the relationship between this equation and the Kell
会议
  In this work,a nonlocal Fisher KPP reaction-diffusion problem with the reaction powers α.When α ≥ 1 and the initial mass is greater than or equal to one,
会议
  We approximate diffusion equations with finite numbers of particles.As the 2-Wasserstein energy is not defined for point-masses,we spread uniformly the mass
会议