“Irregularization” of systems of conservation laws

Materials Theory

Stefanos Papanikolaou¹  Woosong Choi²  Matthew Bierbaum²  James P. Sethna²  Hunter Swan²  Yong S. Chen² 

[1] Department of Mechanical Engineering, The Johns Hopkins University, Hopkins Extreme Materials Institute, 113 Malone Baltimore, USA;Laboratory of Atomic and Solid State Physics (LASSP), Clark Hall, Cornell University, Ithaca, USA

关键词: Dislocation;    Delta shock;    Continuum dislocation dynamics;    CDD;   

DOI  :  10.1186/s41313-018-0012-x

学科分类：凝聚态物理

来源: Springer

【 摘 要 】

We explore new ways of regulating defect behavior in systems of conservation laws. Contrary to usual regularization schemes (such as a vanishing viscosity limit), which attempt to control defects by making them smoother, our schemes result in defects which are more singular, and we thus refer to such schemes as “irregularizations”. In particular, we seek to produce delta shock defects which satisfy a condition of stationarity. We are motivated to pursue such exotic defects by a physical example arising from dislocation dynamics in materials physics, which we describe.

【 授权许可】

CC BY