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Existence of global strong solution for ...

Haspot, Boris...

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Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D by Haspot, Boris ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	We consider Navier-Stokes equations for compressible viscous fluids in one dimension. We prove the existence of global strong solution with large initial data for the shallow water system. The key ingredient of the proof relies to a new formulation of the compressible equations involving a new effective velocity $v$ (see \cite{cras,para,CPAM,CPAM1}) such that the density verifies a parabolic equation. We estimate $v$ in $L^\infty$ norm which enables us to control the vacuum on the density.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.5503

Citation

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AMA 11th EditionReferences

Haspot, Boris. Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D. Australian National University. September 06, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23897

APA 7th EditionReferences

Haspot, Boris. (2023). Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D. Australian National University. https://online.provdatabase.com/cite/23897

Chicago 17th EditionReferences

HarvardReferences

Haspot, Boris. (2023). Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23897. (Accessed 20 September 2024).

Harvard AustraliaReferences

Haspot, Boris, 2023, Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23897>

MLA 9th EditionWorks Cited

Haspot, Boris. Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23897.

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