References
- Luckhurst GR. Liquid crystals: A missing phase found at last? Nature. 2004;430:413–414(doi:10.1038/430413a).
- Freiser M. Ordered states of a nematic liquid. Phys Rev Lett. 1970;24:1041–1043.
- Yu L, Saupe A. Observation of a biaxial nematic phase in potassium Laurate-1-Decanol-Water mixtures. Phys Rev Lett. 1980;45:1000–1003.
- Acharya B, Primak A, Kumar S. Biaxial nematic phase in bent-Core thermotropic mesogens. Phys Rev Lett. 2004;92:145506.
- Madsen L, Dingemans T, Nakata M, et al. Thermotropic biaxial nematic liquid crystals. Phys Rev Lett. 2004;92:145505.
- Merkel K, Kocot A, Vij J, et al. Thermotropic biaxial nematic phase in liquid crystalline organo-siloxane tetrapodes. Phys Rev Lett. 2004;93:237801.
- Severing K, Saalwachter K. Biaxial nematic phase in a thermotropic liquid-crystalline side-chain polymer. Phys Rev Lett. 2004;92:125501.
- Leslie F, Lavertyand T. Carlsson J. Continuum theory for biaxial nematic liquid crystals. Q J Mech Appl Math. 1992;45:595–606.
- Ericksen J. On equations of motion for liquid crystals. Quart J Mech Appl Math. 1976;29(2):203–208.
- Lin J, Li Y, Wang C. On static and hydrodynamic theory of biaxial nematics; 2020. arXiv:2006.04207v1.
- Lin F, Lin J, Wang C. Liquid crystal flows in two dimensions. Arch Ration Mech Anal. 2010;197(1):297–336.
- Hong MC. Global existence of solutions of the simplified Ericksen–Lesli system in dimension two. Calc Vav PDE. 2011;40:15–36.
- Xu X, Zhang Z. Global regularity and uniqueness of weak solution for the 2-D liquid crystal flows. J Differ Equ. 2012;252(2):1169–1181.
- Lei Z, Li D, Zhang X. Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions. Proc Am Math Soc. 2012;142(11):3801–3810.
- Lin F, Wang C. Global existence of weak solutions of the nematic liquid crystal flow in dimension three. Commun Pure Appl Math. 2015;69(8):101–139.
- Ball J. Mathematics and liquid crystals. Mol Cryst Liq Cryst. 2017;647:1–27.
- Lin F, Wang C. Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Philos Trans. 2014;372(2029):00–0.
- Du H, Huang T, Wang C. Weak compactness of simplified nematic liquid flows in 2D; 2020. arXiv:2006.04210v1.
- Wen H, Ding S. Solutions of incompressible hydrodynamic flow of liquid crystals. Nonlinear Anal Real World Appl. 2011;12(3):1510–1531.
- Feireisl E. Dynamics of viscous compressible fluids. Oxford Science Publication, Oxford; 2004.
- Temam R. Navier-Stokes equations. Theory and numerical analysis. North-Holland, Amsterdam; 1984.
- Ladyzenskaja OA, Solonnikov VA, Ural'Ceva NN. Linear and quasilinear equations of parabolic type; Trans. of Math. Monographs 23, American Mathematical Society, Providence, 1968.
- Simon J. Nonhomogeneous viscous incompressible fluids: existence of vecocity, density and pressure. SIAM J Math Anal. 1990;21(5):1093–1117.
- Choe J, Kim H. Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Commun Partial Differ Equ. 2003;28(5–6):1183–1201.
- Ladyzenskaja OA. On the unique solvability of the initial value problem for viscous incompressible inhomogeneous fluids. J Soviet Math. 1978;9(5):697–749.