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Volume 27, Issue 2
Global Well-posedness of Classical Solutions with Large Initial Data to the Two-dimensional Isentropic Compressible Navier-Stokes Equations

Peixin Zhang, Xuemei Deng & Junning Zhao

DOI: 10.4208/jpde.v27.n2.5

J. Part. Diff. Eq., 27 (2014), pp. 143-157.

Published online: 2014-06

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  • Abstract
We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data under the assumption that the viscosity coefficient μ is large enough. Here we do not require that the initial data is small.
  • Keywords

Isentropic compressible Navier-Stokes equations large viscosity coefficient global classical solutions

  • AMS Subject Headings

76N10, 35M10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zhpx@hqu.edu.cn (Peixin Zhang)

dxuemei@gmail.com (Xuemei Deng)

jnzhao@xmu.edu.cn (Junning Zhao)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-27-143, author = {Zhang , PeixinDeng , Xuemei and Zhao , Junning}, title = {Global Well-posedness of Classical Solutions with Large Initial Data to the Two-dimensional Isentropic Compressible Navier-Stokes Equations}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {2}, pages = {143--157}, abstract = { We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data under the assumption that the viscosity coefficient μ is large enough. Here we do not require that the initial data is small.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n2.5}, url = {http://global-sci.org/intro/article_detail/jpde/5132.html} }
TY - JOUR T1 - Global Well-posedness of Classical Solutions with Large Initial Data to the Two-dimensional Isentropic Compressible Navier-Stokes Equations AU - Zhang , Peixin AU - Deng , Xuemei AU - Zhao , Junning JO - Journal of Partial Differential Equations VL - 2 SP - 143 EP - 157 PY - 2014 DA - 2014/06 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n2.5 UR - https://global-sci.org/intro/article_detail/jpde/5132.html KW - Isentropic compressible Navier-Stokes equations KW - large viscosity coefficient KW - global classical solutions AB - We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data under the assumption that the viscosity coefficient μ is large enough. Here we do not require that the initial data is small.
Zhang , PeixinDeng , Xuemei and Zhao , Junning. (2014). Global Well-posedness of Classical Solutions with Large Initial Data to the Two-dimensional Isentropic Compressible Navier-Stokes Equations. Journal of Partial Differential Equations. 27 (2). 143-157. doi:10.4208/jpde.v27.n2.5
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