Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws
Nonlinear geometric optics with various frequencies for entropy solutions only in L∞ of multidimensional scalar conservation laws is analyzed. A new approach to validate nonlinear geometric optics is developed via entropy dissipation through scaling, compactness, homogenization, and L1-stability. Ne...
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| Format: | Journal article |
| Language: | English |
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2006
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| _version_ | 1797051060088471552 |
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| author | Chen, G Junca, S Rascle, M |
| author_facet | Chen, G Junca, S Rascle, M |
| author_sort | Chen, G |
| collection | OXFORD |
| description | Nonlinear geometric optics with various frequencies for entropy solutions only in L∞ of multidimensional scalar conservation laws is analyzed. A new approach to validate nonlinear geometric optics is developed via entropy dissipation through scaling, compactness, homogenization, and L1-stability. New multidimensional features are recognized, especially including nonlinear propagations of oscillations with high frequencies. The validity of nonlinear geometric optics for entropy solutions in L∞ of multidimensional scalar conservation laws is justified. © 2005 Elsevier Inc. All rights reserved. |
| first_indexed | 2024-03-06T18:14:27Z |
| format | Journal article |
| id | oxford-uuid:0422d627-b5bb-4beb-a060-fbfa7453424b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:14:27Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:0422d627-b5bb-4beb-a060-fbfa7453424b2022-03-26T08:50:06ZValidity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation lawsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0422d627-b5bb-4beb-a060-fbfa7453424bEnglishSymplectic Elements at Oxford2006Chen, GJunca, SRascle, MNonlinear geometric optics with various frequencies for entropy solutions only in L∞ of multidimensional scalar conservation laws is analyzed. A new approach to validate nonlinear geometric optics is developed via entropy dissipation through scaling, compactness, homogenization, and L1-stability. New multidimensional features are recognized, especially including nonlinear propagations of oscillations with high frequencies. The validity of nonlinear geometric optics for entropy solutions in L∞ of multidimensional scalar conservation laws is justified. © 2005 Elsevier Inc. All rights reserved. |
| spellingShingle | Chen, G Junca, S Rascle, M Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws |
| title | Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws |
| title_full | Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws |
| title_fullStr | Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws |
| title_full_unstemmed | Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws |
| title_short | Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws |
| title_sort | validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws |
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