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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy Concentration and Weak Stability in Fluid Dynamics
流体动力学 能量集中 弱稳定性
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2023/4/14
The weak stability is an important issue in fluid dynamics. We will discuss the mathematical understudying of concentration phenomena in the framework of weak solutions with either critical or subcrit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy estimates for the two-dimensional acoustical rarefaction waves
二维声稀波 能量估计 无旋
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2023/4/18
We study the two-dimensional acoustical rarefaction waves under the irrotational assumptions. We provide a new energy estimates without loss of derivatives. We also give a detailed geometric descripti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy-preserving Mixed Finite Element Methods for a Ferrofluid Flow Model
铁磁流体 流动模型 节能混合 有限元方法
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2023/4/27
We develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis [Soviet Physics JETP, 1972]. We show that the energy stability of the weak solutions to the model ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁 流体动力学模型 无条件能量稳定 有限元方法
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2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...