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Volume 21, Issue 2
Irrotational Approximation to Steady Supersonic Flow in Two Space Variables

Chong Liu

J. Part. Diff. Eq., 21 (2008), pp. 123-133.

Published online: 2008-05

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  • Abstract
On the assumption that the total variation of the initial data is suffi- ciently small, we can use the stability results of Dafermos to get the L2 estimate of the difference between the solutions to the isentropic steady Euler system and the potential flow equations with the same initial data.
  • Keywords

Irrotational approximation supersonic flow steady Euler system

  • AMS Subject Headings

76N15 76N05 35L65 35L67.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-21-123, author = {Chong Liu }, title = {Irrotational Approximation to Steady Supersonic Flow in Two Space Variables}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {2}, pages = {123--133}, abstract = { On the assumption that the total variation of the initial data is suffi- ciently small, we can use the stability results of Dafermos to get the L2 estimate of the difference between the solutions to the isentropic steady Euler system and the potential flow equations with the same initial data.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5273.html} }
TY - JOUR T1 - Irrotational Approximation to Steady Supersonic Flow in Two Space Variables AU - Chong Liu JO - Journal of Partial Differential Equations VL - 2 SP - 123 EP - 133 PY - 2008 DA - 2008/05 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5273.html KW - Irrotational approximation KW - supersonic flow KW - steady Euler system AB - On the assumption that the total variation of the initial data is suffi- ciently small, we can use the stability results of Dafermos to get the L2 estimate of the difference between the solutions to the isentropic steady Euler system and the potential flow equations with the same initial data.
Chong Liu . (2008). Irrotational Approximation to Steady Supersonic Flow in Two Space Variables. Journal of Partial Differential Equations. 21 (2). 123-133. doi:
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