Liu, Chao The emergence of nonlinear Jeans-type instabilities for quasilinear wave equations. arXiv:2409.02516 Preprint, arXiv:2409.02516 [math.AP] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Ma, Yingjie; Gao, Xi; Liu, Chao; Li, Jie Improved SQP and SLSQP Algorithms for Feasible Path-based Process Optimisation. arXiv:2402.10396 Preprint, arXiv:2402.10396 [math.OC] (2024). × Cite Format Result Cite Full Text: DOI arXiv OA License
Liu, Chao Fully nonlinear gravitational instabilities for expanding spherical symmetric Newtonian universes with inhomogeneous density and pressure. arXiv:2305.13211 Preprint, arXiv:2305.13211 [math-ph] (2023). × Cite Format Result Cite Full Text: arXiv OA License
Liu, Chao; yang, Jun Multiple-interface solutions of one dimensional generalized parabolic Cahn-Hilliard equation. arXiv:2303.17288 Preprint, arXiv:2303.17288 [math.AP] (2023). × Cite Format Result Cite Full Text: arXiv OA License
Liu, Chao Fully nonlinear gravitational instabilities for expanding Newtonian universes with inhomogeneous pressure and entropy: Beyond the Tolman’s solution. arXiv:2210.04657 Preprint, arXiv:2210.04657 [gr-qc] (2022). × Cite Format Result Cite Full Text: DOI arXiv OA License
Liu, Chao Blowups for a class of second order nonlinear hyperbolic equations: A reduced model of nonlinear Jeans instability. arXiv:2208.06788 Preprint, arXiv:2208.06788 [math.AP] (2022). MSC: 35A01 35L02 35L10 83F05 × Cite Format Result Cite Full Text: arXiv OA License
Liu, Chao; Shi, Yiqing Rigorous proof of slightly nonlinear Jeans instability in the expanding Newtonian universe. arXiv:2201.01199 Preprint, arXiv:2201.01199 [math.AP] (2022). × Cite Format Result Cite Full Text: DOI arXiv OA License
Liu, Chao Localized continuation criterion, improved local existence and uniqueness for the Euler-Poisson system in a bounded domain. arXiv:2111.11708 Preprint, arXiv:2111.11708 [math.AP] (2021). × Cite Format Result Cite Full Text: arXiv OA License
Liu, Chao; Wang, Jinhua A new symmetric hyperbolic formulation and the local Cauchy problem for the Einstein–Yang–Mills system in the temporal gauge. arXiv:2111.04540 Preprint, arXiv:2111.04540 [gr-qc] (2021). × Cite Format Result Cite Full Text: arXiv OA License