Weak-strong uniqueness criterion for the $$\beta $$-generalized surface quasi-geostrophic equation
Abstract We prove that weak-strong uniqueness holds for the $$\beta $$-generalized surface quasi-geostrophic equation in the regular class $$\nabla \theta \in L^{q}(0,T; L^{p}(\mathbb{R }^{2}))$$ with $$\frac{\alpha }{q}+\frac{2}{p}=\alpha +\beta -1$$, where $$\alpha \in (0,1], \beta \in [1,2)$$ and...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhao, Jihong [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Systematik: |
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| Anmerkung: |
© Springer-Verlag Wien 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Monatshefte für Mathematik - Springer Vienna, 1948, 172(2013), 3-4 vom: 04. Juni, Seite 431-440 |
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| Übergeordnetes Werk: |
volume:172 ; year:2013 ; number:3-4 ; day:04 ; month:06 ; pages:431-440 |
| Links: |
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| DOI / URN: |
10.1007/s00605-013-0521-2 |
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| Katalog-ID: |
OLC2059512808 |
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| 520 | |a Abstract We prove that weak-strong uniqueness holds for the $$\beta $$-generalized surface quasi-geostrophic equation in the regular class $$\nabla \theta \in L^{q}(0,T; L^{p}(\mathbb{R }^{2}))$$ with $$\frac{\alpha }{q}+\frac{2}{p}=\alpha +\beta -1$$, where $$\alpha \in (0,1], \beta \in [1,2)$$ and $$\frac{2}{\alpha +\beta -1}<p<\infty $$. | ||
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Weak-strong uniqueness criterion for the $$\beta $$-generalized surface quasi-geostrophic equation |
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Abstract We prove that weak-strong uniqueness holds for the $$\beta $$-generalized surface quasi-geostrophic equation in the regular class $$\nabla \theta \in L^{q}(0,T; L^{p}(\mathbb{R }^{2}))$$ with $$\frac{\alpha }{q}+\frac{2}{p}=\alpha +\beta -1$$, where $$\alpha \in (0,1], \beta \in [1,2)$$ and $$\frac{2}{\alpha +\beta -1}<p<\infty $$. © Springer-Verlag Wien 2013 |
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Abstract We prove that weak-strong uniqueness holds for the $$\beta $$-generalized surface quasi-geostrophic equation in the regular class $$\nabla \theta \in L^{q}(0,T; L^{p}(\mathbb{R }^{2}))$$ with $$\frac{\alpha }{q}+\frac{2}{p}=\alpha +\beta -1$$, where $$\alpha \in (0,1], \beta \in [1,2)$$ and $$\frac{2}{\alpha +\beta -1}<p<\infty $$. © Springer-Verlag Wien 2013 |
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Abstract We prove that weak-strong uniqueness holds for the $$\beta $$-generalized surface quasi-geostrophic equation in the regular class $$\nabla \theta \in L^{q}(0,T; L^{p}(\mathbb{R }^{2}))$$ with $$\frac{\alpha }{q}+\frac{2}{p}=\alpha +\beta -1$$, where $$\alpha \in (0,1], \beta \in [1,2)$$ and $$\frac{2}{\alpha +\beta -1}<p<\infty $$. © Springer-Verlag Wien 2013 |
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