The Behavior of Spherically Symmetric Equilibria Near Infinity.

reportActive / Technical Report | Accession Number: ADA093631 | Open PDF

Abstract:

The study of the radially symmetric equilibria of a non-linear diffusion equation in several space dimensions leads to an ordinary differential equation. Under the hypotheses that the reaction terms are in gradient form, conditions are found which imply that solutions are asymptotically constant at infinity. As an application it is shown that the all spherically symmetric solutions of the sine-Gordon equation are asymptotically constant and consequently bounded. Author

Author(s):
Conley, C.
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0013

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2117
Contract/Grant Number(s):
DAAG29-80-C-0041
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_5.3_Planning
Modernization Areas:
Autonomy
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*DIFFERENTIAL EQUATIONS, *DIFFUSION, *NONLINEAR ALGEBRAIC EQUATIONS, SOLUTIONS(GENERAL), SYMMETRY, SCALAR FUNCTIONS, VECTOR SPACES, TRAVELING WAVES, ASYMPTOTIC NORMALITY, GRADIENTS, THEOREMS
Field(s)/Group(s):
Theoretical Mathematics
Report Date:
1980 Sep 01