Published In
Applied Mathematical Modelling
Document Type
Article
Publication Date
6-1988
Subjects
Partial differential equations -- Hyperbolic equations and systems -- Nonlinear first-order hyperbolic equations
Abstract
The method of singular surfaces is used to obtain explicit conditions under which a one-dimensional acceleration wave develops into a shock when some dissipation mechanism is present. The conditions which secure the initial growth of the strong shock wave propagating into an undeformed nonlinear and dissipative medium are also derived. The analysis is pre- sented for a single balance law, one-dimensional elasticity, and the non- linear Maxwellian continuum.
DOI
10.1016/0307-904X(88)90035-2
Persistent Identifier
https://archives.pdx.edu/ds/psu/29172
Citation Details
Elżanowski, M., & Epstein, M. (1988). The decay and formation of one-dimensional nonconservative shocks. Applied mathematical modelling, 12(3), 280-284.
Description
Under an Elsevier user license. The definitive published version: https://doi.org/10.1016/0307-904X(88)90035-2 *At the time of publication the author was affiliated with the University of Calgary.