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Ảnh của Ching-hsiao Cheng
Giáo sư

Ching-hsiao Cheng

Lĩnh vực nghiên cứu

  • PDE
  • Fluids Dynamics/Mechanics
  • Free Boundary

Học vấn

Ph.D., University of California

Kinh nghiệm

2022/08/01 ~ Vice-Chairman of Department of Mathematics, National Central University
2014/08 ~ Associate Professor, National Central University
2009/08 ~ 2014/07 Assistant Professor, National Central University
2007/08 ~ 2009/07 Postdoctor, University of Maryland
2006/07 ~ 2007/06 Postdoctor, University of California at Davis
　

Vinh danh

1. 國家理論科學中心98學年度「中心科學家」 
2. 國立中央大學98學年度「新聘傑出教師獎勵」
 

Công trình công bố

Journal papers: 
 

  1. C.H. Arthur Cheng and Steve Shkoller, "Solvability and regularity for an elliptic system prescribing the curl, divergence, and partial trace of a vector field on Sobolev-class domains", J. Math Fluid. Mech., 19(3), (2017)
     
  2. C.H. Arthur Cheng , John M. Hong, Ying-Chieh Lin, Jiahong Wu, and Juan-Ming Yuan, "Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equations on the upper half plane", DCDS-B, 21(3), (2016).
     
  3. C.H. Arthur Cheng, Rafael Granero-Belinchón, and Steve Shkoller, "The well-posedness of the Muskat equations in the H^2 solution space", Adv. Math., 286, (2016), 32--104.
     
  4. C.H. Arthur Cheng, D. COUTAND and Steve Shkoller, "Global existence and decay for solutions of the Hele-Shaw flow with injection", Interfaces and Free Boundaries, 16(3), (2014), 297-338.
     
  5. C.H. Arthur Cheng and Steve Shkoller, "The interaction of the 3D Navier-Stokes equations with a moving nonlinear Koiter elastic shell", SIAM J. Math. Anal., 42, (2010), 1094--1155.
  6. C.H. A. Cheng, D. Coutand and S. Shkoller, "On the limit as the density ratio tends to zero for two perfect incompressible 3-D fluids separated by a surface of discontinuity", Comm, Partial Differential Equations, 35, 817--845, (2010).
  7. A. CHENG, D. COUTAND and S. SHKOLLER, On the Motion of Vortex Sheets with Surface Tension in the 3D Euler Equations with Vorticity, Comm. Pure Appl. Math., 61(12), (2008), 1715--1752.
  8. A. CHENG, L. KELLOG, S. SHKOLLER, and D. TURCOTTE, A liquid-crystal model for friction, Proc. Natl. Acad. Sci. USA, 105, (2008), 7930--7935.
  9. A. CHENG, D. COUTAND and S. SHKOLLER, Navier-Stokes equations interacting with a nonlinear elastic biofluid shell, SIAM J. Math. Anal., 39 , (2007), 742--800.