Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations Full article
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Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304 |
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| Output data | Year: 2018, Volume: 15, Pages: 1158–1173 Pages count : 16 DOI: 10.17377/semi.2018.15.094 | ||||
| Tags | Entropy solution; Forward-backward ultra-parabolic equation; Kinetic solution | ||||
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Abstract:
The results formulated in (I.V. Kuznetsov, Sib. Elect. Math. Rep. 14 (2017), 710-731) are extended onto the multi-time case. We prove existence and uniqueness of kinetic solutions to genuinely nonlinear forward-backward ultra-parabolic equations and show that kinetic solutions do not depend on the anisotropic elliptic regularization.
Cite:
Kuznetsov I.V.
, Sazhenkov S.A.
Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2018. V.15. P.1158–1173. DOI: 10.17377/semi.2018.15.094 WOS Scopus РИНЦ
Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2018. V.15. P.1158–1173. DOI: 10.17377/semi.2018.15.094 WOS Scopus РИНЦ
Dates:
| Submitted: | Jun 26, 2018 |
| Published online: | Oct 15, 2018 |
Identifiers:
| Web of science: | WOS:000454860200036 |
| Scopus: | 2-s2.0-85074955522 |
| Elibrary: | 36998673 |