The formation of singularities in relativistic flows is not well understood.Smooth solutions to the relativistic Euler equations are known to have a finite lifespan;the possible breakdown mechanisms are shock formatio...The formation of singularities in relativistic flows is not well understood.Smooth solutions to the relativistic Euler equations are known to have a finite lifespan;the possible breakdown mechanisms are shock formation,violation of the subluminal conditions andmass concentration.We propose a new hybrid Glimm/centralupwind scheme for relativistic flows.The scheme is used to numerically investigate,for a family of problems,which of the above mechanisms is involved.展开更多
基金supported by the National Science Foundation(NSF)through grants DMS-0811150.Y.Sun’s research is partially supported by NSF through the NSF Joint Institutes’Postdoctoral Fellowship at SAMSI and a USC startup fund.
文摘The formation of singularities in relativistic flows is not well understood.Smooth solutions to the relativistic Euler equations are known to have a finite lifespan;the possible breakdown mechanisms are shock formation,violation of the subluminal conditions andmass concentration.We propose a new hybrid Glimm/centralupwind scheme for relativistic flows.The scheme is used to numerically investigate,for a family of problems,which of the above mechanisms is involved.
