Pointwise estimates and stability for degenerate viscous shock waves

abstract

• We study the pointwise behavior of perturbed degenerate (sonic) shock waves for scalar conservation laws with constant diffusion. Building on the pointwise Green's function approach of [H1-3], [ZH], we extend the linear analysis to an equation with non-integrable coefficients, arriving at an estimate on linearized perturbations believed sharp to a possible error of size log t. Nonlinear stability for degenerate waves follows in all Lpnorms, p 1.

authors

• Howard, Peter

published proceedings

• Journal fur die Reine und Angewandte Mathematik

author list (cited authors)

• Howard, P.

complete list of authors

• Howard, P

publication date

• December 2002

published in

• Journal für die Reine und Angewandte Mathematik  Journal

start page

• 19

end page

• 65

issue

• 545