On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations

Eduard Feireisl; Antonin Novotny; Hana Petzeltova

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On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations

机译：关于Navier-Stokes方程的全局定义的弱解的存在性

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摘要

We prove the existence of globally defined weak solutions to the Navier-Stokes equations of compressible isentropic flows in three space dimensions on condition that the adiabatic constant satisfies γ > 3/2.

机译：我们证明了在绝热常数满足γ> 3/2的情况下，可压缩等熵流的Navier-Stokes方程在三个空间维度上存在全局定义的弱解。

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来源
《Journal of mathematical fluid mechanics 》 |2001年第4期| 共35页
作者
Eduard Feireisl; Antonin Novotny; Hana Petzeltova;
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正文语种 eng
中图分类力学 ;
关键词
compressible Navier-Stokes equations; global existence; critical adiabatic exponent;

机译：可压缩的Navier-Stokes方程;整体存在;临界绝热指数;

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专利

1. On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations [J] . Eduard Feireisl, Antonin Novotny, Hana Petzeltova Journal of mathematical fluid mechanics . 2001 ,第4期

机译：关于Navier-Stokes方程的全局定义的弱解的存在性
2. From the Highly Compressible Navier-Stokes Equations to Fast Diffusion and Porous Media Equations, Existence of Global Weak Solution for the Quasi-Solutions [J] . Haspot Boris Journal of mathematical fluid mechanics . 2016 ,第2期

机译：从高度可压缩的Navier-Stokes方程到快速扩散和多孔介质方程，拟解的整体弱解的存在
3. Existence of global weak solutions for Navier-Stokes-Poisson equations with quantum effect and convergence to incompressible Navier-Stokes equations [J] . Yang Jianwei, Ju Qiangchang Mathematical Methods in the Applied Sciences . 2015 ,第17期

机译：具有量子效应的Navier-Stokes-Poisson方程的整体弱解的存在性和不可压缩Navier-Stokes方程的收敛性
4. POROUS MEDIA EQUATIONS, FAST DIFFUSIONS EQUATIONS AND THE EXISTENCE OF GLOBAL WEAK SOLUTION FOR THE QUASI-SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES EQUATIONS [C] . BORIS HASPOT International Conference on Hyperbolic Problems . 2014

机译：多孔介质方程，快速扩散方程以及压缩Navier-Stokes方程准溶液的全局弱解决方案
5. Global existence of solutions with large, discontinuous initial data for the Navier-Stokes equations for compressible fluid flows. [D] . Perepelitsa, Mikhail. 2004

机译：对于可压缩流体流的Navier-Stokes方程，具有大量不连续初始数据的解决方案的全球存在。
6. Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales [O] . Bing Li, Yongkun Li, Xuemei Zhang -1

机译：时标上n维中立型动力方程周期解的存在性和全局指数稳定性
7. Global existence of finite energy weak solutions to the Quantum Navier-Stokes equations with non-trivial far-field behavior [O] . Paolo Antonelli, Lars Eric Hientzsch, Stefano Spirito 2021

机译：具有非琐事远场行为的量子Navier-Stokes方程的全球有限能量弱解

On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations

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