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Global Strong Solution of the Pressureless Navier-Stokes/Navier-Stokes System
Acta Mathematica Scientia, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Yue, Yu, Minyan, Tang, Houzhi
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Applied Mathematics Letters, 2023
The relaxed Navier-Stokes equations of the form \[ \begin{split} \partial_t\rho + \operatorname{div}(\rho u) & = 0,\\ \partial_t(\rho u) + \operatorname{div}(\rho u\otimes u) + \nabla p(\varrho) & = \operatorname{div}S_1 +\nabla S_2,\\ \tau_1(\partial_t S_1 + u\cdot \nabla S_1) + S_1 &= \mu\left(\nabla u + (\nabla u)^\top - \frac 23 \operatorname{div ...
Qiangchang Ju, Zhao Wang
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The relaxed Navier-Stokes equations of the form \[ \begin{split} \partial_t\rho + \operatorname{div}(\rho u) & = 0,\\ \partial_t(\rho u) + \operatorname{div}(\rho u\otimes u) + \nabla p(\varrho) & = \operatorname{div}S_1 +\nabla S_2,\\ \tau_1(\partial_t S_1 + u\cdot \nabla S_1) + S_1 &= \mu\left(\nabla u + (\nabla u)^\top - \frac 23 \operatorname{div ...
Qiangchang Ju, Zhao Wang
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On the generalized Navier–Stokes equations
Applied Mathematics and Computation, 2003In this paper, we present a general Inodel of the classical Navier-Stokes equations. With the help of Laplace, Fourier Sine transforms, finite Fourier Sine transforms, and finite Hankel transforms, an exact solutions for three different special cases have been obtained.
Moustafa El-Shahed, Ahmed Salem 0007
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Convergence of the Navier–Stokes–Poisson system to the incompressible Navier–Stokes equations
Journal of Mathematical Physics, 2008The quasineutral limit of the Navier–Stokes–Poisson system in the whole space Rd(d≥1) and in the torus Td is studied in this paper. It is shown that, for the well-prepared initial data, the global weak solution of the Navier–Stokes–Poisson system converges strongly to the strong solution of the incompressible Navier–Stokes equations.
Ju, Qiangchang, Li, Fucai, Wang, Shu
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International Journal of Engineering Science, 2012
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On properties of the Navier–Stokes equations
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a two-order temporal scheme for Navier-Stokes/Navier-Stokes equations
Applied Numerical Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Wei, Huang, Pengzhan
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Solution of the Navier–Stokes problem
Applied Mathematics Letters, 2019The author claims a proof of global existence and uniqueness of solutions of the Navier-Stokes equations. Unfortunately, the proof proposed by the author is incorrect. It is based on a Gronwall-like inequality, viz. \[ \psi(t)\leq \psi(0)+c \int_0^t (t-s)^{-\frac 5 4}\, \psi(s)\, ds. \] As $t_+^{-\frac 5 4}$ is not integrable in a neighbourhood of $0$,
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