| Title:
|
On the sign of Colombeau functions and applications to conservation laws (English) |
| Author:
|
Jelínek, Jiří |
| Author:
|
Pražák, Dalibor |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2009 |
| Pages:
|
245-264 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A generalized concept of sign is introduced in the context of Colombeau algebras. It extends the sign of the point-value in the case of sufficiently regular functions. This concept of generalized sign is then used to characterize the entropy condition for discontinuous solutions of scalar conservation laws. (English) |
| Keyword:
|
Colombeau algebra |
| Keyword:
|
generalized sign |
| Keyword:
|
conservation law |
| Keyword:
|
entropy condition |
| MSC:
|
35L67 |
| MSC:
|
46F30 |
| idZBL:
|
Zbl 1212.46061 |
| idMR:
|
MR2537834 |
| . |
| Date available:
|
2009-08-18T12:24:54Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133431 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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