Local tracking and stability for degenerate viscous shock waves

[摘要] We study the pointwise behavior of perturbed degenerate (sonic) shock waves for scalar conservation laws with nonconstant diffusion, Building Oil the pointwise Green's function approach of Zumbrun and Howard (Indiana U/ Math. J. 47(3) (1998) 741) we extend the linear analysis to the equation with nonintegrable coefficients. In lieu of working with the integrated equation, we employ a tracking mechanism that we expect will allow degenerate waves to he incorporated into the general framework for nondegenerate systems (Indiana U, Math. J. 47(3) (1998) 741). (C) 2002 Elsevier Science (USA). All rights reserved.

[发布日期] 2002-12-10