Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501610 | Journal of Differential Equations | 2005 | 65 Pages |
Abstract
For the case of multidimensional viscous conservation laws with fourth-order smoothing only, we develop detailed pointwise estimates on the Green's function for the linear fourth-order convection equation that arises upon linearization of the conservation law about a viscous planar wave solution. As in previous analyses in the case of second-order smoothing, our estimates are sufficient to establish that spectral stability implies nonlinear stability, though the full development of this result will be considered in a companion paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Peter Howard, Changbing Hu,