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On some general properties of parabolic conservation equations [electronic resource].

Published:
Washington, D.C. : United States. Dept. of Energy, 1993.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description:
56 pages : digital, PDF file
Additional Creators:
Oak Ridge National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary:
This report deals with certain general properties of partial differential equations of the form S(c)c{sub t} + q{sub z} = Q(c), where t may thought of as time, z as distance, c as an intensive quantity (e.g., temperature), and q its flux (e.g., heat flux), and where q depends on both c and c{sub z}. Six topics are studied, namely: Maximum and minimum principles; ordering of solutions; invariance to stretching (affine) groups; stability of steady states; comparability of solutions; and traveling wave solutions. Illustrative examples are given from the field of nonlinear diffusion, applied superconductivity, and helium cryogenics.
Report Numbers:
E 1.99:ornl/tm--12509
ornl/tm--12509
Subject(s):
Other Subject(s):
Note:
Published through SciTech Connect.
10/01/1993.
"ornl/tm--12509"
"DE94006101"
Dresner, L.
Type of Report and Period Covered Note:
Topical; 10/01/1993 - 10/01/1993
Funding Information:
AC05-84OR21400
View MARC record | catkey: 14354880