專著： 馬天，劉瑞寬，楊佳艷.《從數學觀點看物理世界----統計物理與臨界相變理論》，北京：科學出版社，2018, 584頁. 論文： (1) Deng，Dong；Liu, Ruikuan*，Bifurcation solutions of Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates. Discrete Contin. Dyn. Syst. Ser. B doi: 10.3934/dcdsb.2018306 （通訊作者） (2) Ruikuan Liu, Tian Ma, Shouhong Wang, Jiayan Yang. Thermodynamical potentials of classical and quantum systems. Discrete Contin. Dyn. Syst. Ser. B, doi: 10.3934/dcdsb.2018214 (3) Yang, Jiayan; Liu, Ruikuan*，The existence for a new 2-D compressible fluid model with the horizontal thermal gradient effect. ZAMM Z. Angew. Math. Mech. 98 (2018), no. 8, 1302–1319. （通訊作者） (4) Yang, Jiayan; Wang, Quan; Liu, Ruikuan，Exact steady-state solutions of 3D toroidal flows and their stability. J. Geom. Phys. 132 (2018), 205–221. (5) Zhang, Dongpei; Liu, Ruikuan, Existence of solutions for a quasi-linear phase separation of multi-component system. Electron. J. Differential Equations 2018, Paper No. 76, 13 pp. (6) Zhang, Dongpei; Liu, Ruikuan*, Dynamical transition for S-K-T biological competing model with cross-diffusion. Math. Methods Appl. Sci. 41 (2018), no. 12, 4641–4658. （通訊作者） (7) Wang, Huichao; Wang, Quan; Liu, Ruikuan*, A time-dependent perturbation solution from a steady state for Marangoni problem. Appl. Anal. 97 (2018), no. 9, 1526–1539. （通訊作者） (8) Liu, Ruikuan; Yang, Jiayan, Magneto-hydrodynamical model for plasma. Z. Angew. Math. Phys. 68 (2017), no. 5, 114, 15 pp. （通訊作者） (9) Wang, Huichao; Liu, Ruikuan*, The existence of stationary star solutions for compressible magnetohydrodynamic flows. Bound. Value Probl. 2016, Paper No. 216, 13 pp. （通訊作者） (10) Ma, Ruyun; Liu, Ruikuan*, Multiplicity of radial solutions of quasilinear problems with minimum and maximum. Adv. Nonlinear Stud. 16 (2016), no. 2, 273–286. （通訊作者） (11) Ma, Ruyun; Zhang, Lu; Liu, Ruikuan, Existence results for nonlinear problems with ?-Laplacian. Electron. J. Qual. Theory Differ. Equ. 2015, No. 22, 7 pp. (12) Liu, Rui Kuan*, Bifurcation structure of positive solutions for asymptotically linear fourth-order semipositone boundary value problems. (Chinese) J. Jilin Univ. Sci. 52 (2014), no. 4, 661–666. （通訊作者） (13) Liu, Ruikuan*; Ma, Ruyun Existence of positive solutions for an elastic beam equation with nonlinear boundary conditions. J. Appl. Math. 2014, Art. ID 972135, 5 pp. （通訊作者） |
