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

作者：Liu Yanhong^*

来源：Acta Mathematica Scientia, 2010, 30(1): 47-54.

• planar viscous rarefaction wave
• degenerate viscosity
• energy method
• L(1)-estimate
• decay rates
• boundary layer

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 L(2)-energy method and L(1)-estimate.

• 出版日期2010-1
• 单位华中科技大学