التفاصيل البيبلوغرافية
| العنوان: |
Improved bounds for some nonstandard problems in generalized heat conduction |
| المؤلفون: |
Philip W. Schaefer, L. E. Payne, J.C. Song |
| المصدر: |
Journal of Mathematical Analysis and Applications. (1):325-340 |
| بيانات النشر: |
Elsevier Inc. |
| مصطلحات موضوعية: |
Differential equation, Applied Mathematics, Mathematical analysis, Maxwell–Cattaneo system, Thermal conduction, System of linear equations, Generalized heat conduction, Constraint (information theory), Range (mathematics), Heat flux, Heat equation, Analysis, Mathematics, Nonstandard problem |
| الوصف: |
We consider the Maxwell–Cattaneo system of equations for generalized heat conduction where the temperature and heat flux satisfy a nonstandard auxiliary condition which prescribes a combination of their values initially and at a later time. We obtain L 2 bounds for the temperature and heat flux by means of Lagrange identities. These bounds extend the range of validity for the parameter in the nonstandard condition under a constraint on the coefficients in the differential equations. |
| اللغة: |
English |
| تدمد: |
0022-247X |
| DOI: |
10.1016/j.jmaa.2004.05.018 |
| URL الوصول: |
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bef996e3b59f388fc95db1f82c614d5a |
| Rights: |
OPEN |
| رقم الانضمام: |
edsair.doi.dedup.....bef996e3b59f388fc95db1f82c614d5a |
| قاعدة البيانات: |
OpenAIRE |