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4 Result(s)

within Shangbin Cui Remove this filter Calculus of Variations and Optimal Control; Optimization Remove this filter

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    Article

    On the Banach Manifold of Simple Domains in the Euclidean Space and Applications to Free Boundary Problems

    In this paper we study the Banach manifold made up of simple Cm+μ\(C^{m+\mu }\)-domains in the Euclidean space Rn\(\mathbb{R}^{n}\). This manifold is merely a topological or a C0\(C^{0}\) Banach manifold not possessing...

    Shangbin Cui in Acta Applicandae Mathematicae (2020)

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    Article

    Analysis of a Free Boundary Problem Modeling the Growth of Spherically Symmetric Tumors with Angiogenesis

    This paper is concerned with a free boundary problem modeling the growth of a spherically symmetric tumor with angiogenesis. The unknown nutrient concentration

    Yuehong Zhuang, Shangbin Cui in Acta Applicandae Mathematicae (2019)

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    Article

    Existence of Solutions for the Debye-Hückel System with Low Regularity Initial Data

    In this paper we study existence of solutions for the Cauchy problem of the Debye-Hückel system with low regularity initial data. By using the Chemin-Lerner time-space estimate for the heat equation, we prove ...

    Jihong Zhao, Qiao Liu, Shangbin Cui in Acta Applicandae Mathematicae (2013)

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    Article

    Logarithmically Improved Criteria for the 3D Nematic Liquid Crystal Flows in the Multiplier Spaces

    This paper proves some logarithmically improved regularity criteria in terms of the multiplier space for the 3D nematic liquid crystal flows.

    Qiao Liu, Shangbin Cui, Sadek Gala in Acta Applicandae Mathematicae (2012)