Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
Advances in Nonlinear Analysis, 2023 In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
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Global Well-Posedness for the Compressible Nematic Liquid Crystal Flows
Mathematics, 2022 In this paper, we prove the unique existence of global strong solutions and decay estimates for the simplified Ericksen–Leslie system describing compressible nematic liquid crystal flows in RN, 3≤N≤7.
Miho Murata
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On the two-dimensional singular stochastic viscous nonlinear wave equations
Comptes Rendus. Mathématique, 2022 We study the stochastic viscous nonlinear wave equations (SvNLW) on $\mathbb{T}^2$, forced by a fractional derivative of the space-time white noise $\xi $.
Liu, Ruoyuan, Oh, Tadahiro
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A Class of Sixth Order Viscous Cahn-Hilliard Equation with Willmore Regularization in ℝ3
Mathematics, 2020 The main purpose of this paper is to study the Cauchy problem of sixth order viscous Cahn–Hilliard equation with Willmore regularization. Because of the existence of the nonlinear Willmore regularization and complex structures, it is difficult to obtain ...
Xiaopeng Zhao, Ning Duan
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Global well-posedness of the full compressible Hall-MHD equations
Advances in Nonlinear Analysis, 2021 This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large ...
Tao Qiang, Zhu Canze
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Global Well Posedness for the Thermally Radiative Magnetohydrodynamic Equations in 3D
Journal of Function Spaces, 2020 In this paper, we study the thermally radiative magnetohydrodynamic equations in 3D, which describe the dynamical behaviors of magnetized fluids that have nonignorable energy and momentum exchange with radiation under the nonlocal thermal equilibrium ...
Peng Jiang, Fei Yu
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On the Well Posedness and Refined Estimates for the Global Attractor of the TYC Model
Boundary Value Problems, 2010 The Trojan Y Chromosome strategy (TYC) is a theoretical method for eradication of invasive species. It requires constant introduction of artificial individuals into a target population, causing a shift in the sex ratio that ultimately leads to local ...
Rana D. Parshad, Juan B. Gutierrez
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Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
Open Mathematics, 2022 In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
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Multilinear weighted estimates and quantum Zakharov system
Mathematical Modelling and Analysis, 2022 We consider the well-posedness theory of the compact case of one-dimensional quantum Zakharov system with the periodic boundary condition. The global well-posedness for sufficiently regular data is shown.
Brian Choi
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On the Global Well-Posedness of Rotating Magnetohydrodynamics Equations with Fractional Dissipation
Fractal and Fractional, 2022 This work considers the three-dimensional incompressible rotating magnetohydrodynamics equation spaces with fractional dissipation (−Δ)℘ for ...
Muhammad Zainul Abidin +3 more
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