Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws
We construct global smooth approximate solution to a scalar conservation law with arbitrary smooth monotonic initial data. Different kinds of singularities interactions which arise during the evolution of the initial data are described as well. In order to solve the problem, we use and further devel...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/350762 |
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| _version_ | 1832548152722325504 |
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| author | V. G. Danilov D. Mitrovic |
| author_facet | V. G. Danilov D. Mitrovic |
| author_sort | V. G. Danilov |
| collection | DOAJ |
| description | We construct global smooth approximate solution to a scalar conservation law with arbitrary smooth monotonic initial data. Different kinds of singularities interactions which arise during the evolution of the initial data are
described as well. In order to solve the problem, we use and further develop
the weak asymptotic method, recently introduced technique for investigating nonlinear waves interactions. |
| format | Article |
| id | doaj-art-c738750aeee040969a853feb9efd80c1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c738750aeee040969a853feb9efd80c12025-02-03T06:42:12ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/350762350762Smooth Approximations of Global in Time Solutions to Scalar Conservation LawsV. G. Danilov0D. Mitrovic1Department of Mathematics, Moscow Technical University of Communication and Informatics, Aviamotornaya 8a, 111024 Moscow, RussiaFaculty of Mathematics, University of Montenegro, Cetinjski put bb, 81000 Podgorica, MontenegroWe construct global smooth approximate solution to a scalar conservation law with arbitrary smooth monotonic initial data. Different kinds of singularities interactions which arise during the evolution of the initial data are described as well. In order to solve the problem, we use and further develop the weak asymptotic method, recently introduced technique for investigating nonlinear waves interactions.http://dx.doi.org/10.1155/2009/350762 |
| spellingShingle | V. G. Danilov D. Mitrovic Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws Abstract and Applied Analysis |
| title | Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws |
| title_full | Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws |
| title_fullStr | Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws |
| title_full_unstemmed | Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws |
| title_short | Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws |
| title_sort | smooth approximations of global in time solutions to scalar conservation laws |
| url | http://dx.doi.org/10.1155/2009/350762 |
| work_keys_str_mv | AT vgdanilov smoothapproximationsofglobalintimesolutionstoscalarconservationlaws AT dmitrovic smoothapproximationsofglobalintimesolutionstoscalarconservationlaws |