Local tracking and stability for degenerate viscous shock waves

abstract

• We study the pointwise behavior of perturbed degenerate (sonic) shock waves for scalar conservation laws with nonconstant diffusion. Building on the pointwise Green's function approach of Zumbrun and Howard (Indiana U. Math. J. 47(3) (1998) 741) we extend the linear analysis to an 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 be incorporated into the general framework for nondegenerate systems (Indiana U. Math. J. 47(3) (1998) 741). 2002 Elsevier Science (USA). All rights reserved.

authors

• Howard, Peter

published proceedings

• Journal of Differential Equations

author list (cited authors)

• Howard, P.

citation count

• 8

complete list of authors

• Howard, Peter

publication date

• January 2002

publisher

• Elsevier  Publisher

published in

• Journal of Differential Equations  Journal

Digital Object Identifier (DOI)

• 10.1016/s0022-0396(02)00032-3

start page

• 440

end page

• 469

volume

• 186

issue

• 2

URL

• http://dx.doi.org/10.1016/s0022-0396(02)00032-3