DSpace DSpace

University of Minnesota Digital Conservancy >
University of Minnesota - Twin Cities >
School of Mathematics >
Preprints >

Please use this identifier to cite or link to this item: http://hdl.handle.net/11299/90859

Title: Existence and stability of viscoelastic shock profiles
Authors: Barker, Blake
Lewicka, Marta
Zumbrun, Kevin
Issue Date: 9-Jun-2010
Abstract: We investigate existence and stability of viscoelastic shock profiles for a class of planar models including the incompressible shear case studied by Antman and Malek-Madani. We establish that the resulting equations fall into the class of symmetrizable hyperbolic--parabolic systems, hence spectral stability implies linearized and nonlinear stability with sharp rates of decay. The new contributions are treatment of the compressible case, formulation of a rigorous nonlinear stability theory, including verification of stability of small-amplitude Lax shocks, and the systematic incorporation in our investigations of numerical Evans function computations determining stability of large-amplitude and or nonclassical type shock profiles.
URI: http://purl.umn.edu/90859
Appears in Collections:Preprints

Files in This Item:

File Description SizeFormat
BLZ62.pdf648.81 kBPDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.