Publications of Zhi-an Wang

Submitted Papers

T. Li and Z.A. Wang,
Nonlinear stability of traveling waves to a hyperbolic-parabolic system modeling chemotaxis,
Submitted, 2009 [PDF]

R. Lui and Z.A. Wang,
Traveling wave solutions from microscopic to macroscopic chemotaxis models,
Submitted, 2009 [PDF]

T. Hillen, P. Hinow and Z.A. Wang,
Measure-valued solutions for a kinetic models of cell movement in tissue networks,
Submitted, 2008.[PDF]

Y.S. Choi and Z.A. Wang,
Prevention of blow up in chemotaxis by fast diffusion,
Submitted, 2008. [PDF]

Z.A. Wang
Connections between microscopic and macroscopic models for chemotaxis,
Submitted, 2008. [PDF]  

Refereed Papers

Z.A. Wang, T. Hillen and M. Li,
Mesenchymal motion models in one dimension,
SIAM. J. Appl. Math., 69(2008): 375-397. [PDF]

Z.H. Guo, M.N. Jiang, Z.A. Wang and G.F. Zheng,
Existence of global weak solutions to the Camassa-Holm equation,
Discrete Contin. Dyn. Syst., 21(2008), 883-906. [PDF]

Z.A. Wang and T. Hillen,
Shock formation in a chemotaxis model,
Math. Methods. Appl. Sci., 31(2008): 45-70. [PDF]

Z.A. Wang and T. Hillen,
Classical solutions and pattern formation for a volume filling chemotaxis model,
Chaos 17, 037108 (2007).[PDF]

Z.A. Wang and H. Sang,
Asymptotic profile to the nonlinear dissipative evolution equations with conservation form,
Math. Meth. Appl. Sci., 20(2007): 977-994.

Z.A. Wang,
Optimal convergence rates toward diffusion wave of solutions to non-linear evolution equations with conservational form,
J. Math. Anal. Appl., 319(2006): 740-763.

Z.A. Wang,
Optimal decay rates of solutions to dissipative nonlinear evolution equations with ellipticity,
Z. Angew. Math. Phys., 57(2006): 399-418.

Z.A. Wang,
Large time behaviors of solutions for a dissipative nonlinear evolution system with conservation form,
J. Phys. A: Math. Gen., 38 (2005), 10955-10969.

C. J. Zhu and Z.A. Wang,
Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity,
Z. Angew. Math. Phys., 55(2004): 994-1014.

Z.A. Wang, C. J. Zhu,
Stability of the rarefaction wave for the generalized KdV-Burgers equation,
Acta Math Scientia., 22B(2002), no.3, 319-328.

C. J. Zhu, Z.A. Wang,                                            
Asymptotic behavior of solutions to dissipative nonlinear evolution equations with ellipticity,
J. CCNU. Natur. Sci., 37(2003), no.3, 277-281.

Z.A. Wang, M. N. Jiang,
Uniform estimates of solutions to the generalized Korteweg-de Vries-Burgers equation,
J. CCNU.Natur. Sci., 35(2001), no.3, 264-266.