Publications and Preprints

Hairong Yuan

 


 

Notices:

▪ Each preprint is the authors' version of a work that was submitted  for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. So please note that changes may have been made to this work since it was submitted for publication. To obtain a definitive version, one might visit  the publishers' WebPages.        

If you are interested in our works, feel free to send emails to me for electronic preprints or reprints.       

  ResearcherID: C-2160-2013

  MR Author ID: 729438                          


 

 

[1] A remark on mixed  boundary value problem for Laplace equation, Acta Math. Sinica, Ser. A, 46(6)( 2003), 1091—1096 (in Chinese).

 

[2] Transonic shocks for steady Euler flows with cylindrical symmetry, Nonlinear Analysis, 66(8) (2007), 1853—1878.  doi:10.1016/j.na.2006.02.045

 

[3]  On transonic shocks in two dimensional variable-area ducts for steady Euler system, SIAM Journal of Mathematical  Analysis, 38(4)(2006), 1343—1370.    Click here for a pdf  file.

 

      (*)  A note on the complete proof of estimate (8.9) in the above paper. 

 

[4] (with Shuxing Chen) Transonic shocks in compressible flow passing a duct for three-dimensional Euler system,  Archive for Rational  Mechanics and Analysis, 187(3) (2008), 523—556. 

 

[5]  A Remark on Determination of Transonic Shocks in Divergent Nozzles for Steady Compressible Euler Flows,  Nonlinear Analysis: Real World Applications, 9(2008), 316325.  Click here for a pdf file.

 

[•]  Thesis: On a class of transonic shocks in nozzles, Fudan University, 2006. (In Chinese)

 

[6]  (with Li Liu)  Stability of Cylindrical Transonic Shocks for Two-Dimensional Steady Compressible Euler System, Journal of Hyperbolic Differential Equations, 5(2)(2008), 347—379.   Click here for a pdf file.

       

[7]  Examples of Steady Subsonic Flows in a Convergent-Divergent Approximate Nozzle, Journal of  Differential Equations, 244(7)(2008), 1675—1691. Click here for a pdf file.

 

[8]  (with Yue He) Transonic Potential Flows in a Convergent-Divergent Approximate Nozzle, Journal of Mathematical Analysis and Applications, 353(2)(2009), 614—626.    (Click to obtain preprint  from arXiv)

 

[9]  (with Gui-Qiang Chen) Uniqueness of Transonic Shock Solutions in a Duct for Steady Potential Flow,  Journal of  Differential Equations, 247(2)(2009), 564—573.     (Click to obtain preprint  from arXiv )

 

[10] (with Li Liu)  Global Uniqueness of Transonic Shocks in Divergent Nozzles for Steady Potential Flows,  SIAM Journal of Mathematical  Analysis, 41(5)(2009), 1816—1824. (Click to obtain  preprint from arXiv)

 

[11] (with Pan Liu) Uniqueness and Instability of Subsonic-Sonic Potential Flow in A Convergent Approximate Nozzle, Proceedings of American Mathematical Society, 138(5)(2010), 1793—1801. (Click to obtain  preprint from arXiv)  

 

[12] (with Beixiang Fang and Ya-Guang Wang) Reflection and refraction of shocks on an interface with a reflected rarefaction wave, Journal of Mathematical Physics, 52 (2011), no.7, 073702, 14 pages.

 

[13] (with Li Liu) Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 62(4)(2011), 641—647. 

 

[14] Persistence of shocks in duct. Nonlinear Analysis, 75 (9) (2012), 3874– 3894.

 

[15] (with Beixiang Fang  and Li Liu) Global Uniqueness of Transonic Shocks in Two-Dimensional Steady Compressible Euler Flows. Archive for Rational Mechanics and Analysis, 207(1)(2013), 317– 345.  http://arxiv.org/abs/1004.2002 

 

[16] (with Gui-Qiang Chen) Local Uniqueness of Steady Spherical Transonic Shock-fronts for the Three-Dimensional Full Euler Equations. Communications on Pure and Applied Analysis, 12(6) (2013), 2515–2542.   http://arxiv.org/abs/1112.1750 

 

[17] (with Gui-Qiang Chen and Vaibhav Kukreja)  Stability of Transonic Contact Discontinuity in Two-Dimensional Steady Euler Flows. Journal of Mathematical Physics, 54 (2013), no.2, 021506, 24 pages. http://arxiv.org/abs/1208.5183

 

[18] (with Gui-Qiang Chen and Vaibhav Kukreja) Well-posedness of Transonic Characteristic Discontinuities in Two-Dimensional Steady Compressible Euler Flows. Zeitschrift für Angewandte Mathematik und Physik 64 (2013), no. 6, 1711–1727.  http://arxiv.org/abs/1209.3806

 

[19] (with Li Liu) Steady Subsonic Potential Flows Through Infinite Multi-Dimensional Largely-Open Nozzles. Calculus of Variations and Partial Differential Equations. 49 (2014), no.1-2, 1–36.

 

[20] (with Ya-Guang Wang) Weak  Stability of Transonic Contact  Discontinuities in Three-Dimensional Steady Non-isentropic Compressible Euler Flows. Zeitschrift für Angewandte Mathematik und Physik 2014, to appear.  Click here for a preprint.
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[21] Vaibhav Kukreja; Hairong Yuan; Qiuju Zhao: Stability of Transonic Jet with Strong Shock in Two-Dimensional Steady Compressible Euler Flows. 2014, preprint. Click here for a preprint.

[22] Li Liu; Fusong Shao;Hairong Yuan: Stabilization effect of frictions for transonic shocks in  two-dimensional steady compressible Euler flows. 2014, preprint. Click here for a preprint.

 

 


 


 

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