TY - JOUR TI - The asymptotic stability of the Taylor-series expansion method of moment model for Brownian coagulation AU - Xie Mingliang AU - Kong Tingting AU - Li Jin AU - Lin Jiang JN - Thermal Science PY - 2018 VL - 22 IS - 4 SP - 1651 EP - 1657 PT - Article AB - In the present study, the linear stability of population balance equation due to Brownian motion is analyzed with the Taylor-series expansion method of moment. Under certain conditions, the stability of the Taylor-series expansion method of moment model is reduced to a well-studied problem involving eigenvalues of matrices. Based on the principle of dimensional analysis, the perturbation equation is solved asymptotically. The results show that the Taylor-series expansion method of moment model is asymptotic stable, which implies that the asymptotic solution is uniqueness, and supports the self-preserving size distribution hypothesis theoretically.