DECAY RATES OF PLANAR VISCOUS RAREFACTION WAVE FOR MULTI-DIMENSIONAL SCALAR CONSERVATION LAW WITH DEGENERATE VISCOSITY ON HALF SPACE  

作　　者：刘艳红 

机构地区：[1]Department of Mathematics,Huazhong University of Science and Technology

出　　处：《Acta Mathematica Scientia》2010年第1期47-54,共8页数学物理学报（B辑英文版）

基　　金：supported by the NSF of China (10625105,10431060);the Program for New Centary Excellent Talents in University (NCEF-04-0745)

摘　　要：We investigate the decay rates of the planar viscous rarefaction wave of the initial-boundary value problem to scalar conservation law with degenerate viscosity in several dimensions on the half-line space, where the corresponding one-dimensional problem admits the rarefaction wave as an asymptotic state. The analysis is based on the standard L2-energy method and L1-estimate.We investigate the decay rates of the planar viscous rarefaction wave of the initial-boundary value problem to scalar conservation law with degenerate viscosity in several dimensions on the half-line space, where the corresponding one-dimensional problem admits the rarefaction wave as an asymptotic state. The analysis is based on the standard L2-energy method and L1-estimate.

关 键 词：planar viscous rarefaction wave degenerate viscosity energy method L1-estimate decay rates boundary layer 

分 类 号：O175[理学—数学]