The Navier-Stokes Equations - Articles - Scientific Research Publishing

Global Estimation of the Cauchy Problem Solutions’ Fourier Transform Derivatives for the Navier-Stokes Equation (Articles)

Asset A. Durmagambetov, Leyla S. Fazylova

International Journal of Modern Nonlinear Theory and Application Vol.2 No.4, December 2, 2013

DOI: 10.4236/ijmnta.2013.24033 3,279 Downloads 6,103 Views Citations
The Global Attractors of the Solution for 2D Maxwell-Navier-Stokes with Extra Force Equations (Articles)

Cuicui Tian, Meixia Wang, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.3 No.5, November 17, 2014

DOI: 10.4236/ijmnta.2014.35024 3,590 Downloads 4,851 Views Citations
Optimal System of Subalgebras for the Reduction of the Navier-Stokes Equations (Articles)

Sopita Khamrod

Applied Mathematics Vol.4 No.1, January 28, 2013

DOI: 10.4236/am.2013.41022 4,023 Downloads 7,047 Views Citations
Optimal System and Invariant Solutions on ((U_yy(t,s,y)－U_t(t,s,y))y－2sU_sy(t,s,y))y＋（s²＋1)U_ss(t,s,y)＋2sU_s=0 (Articles)

Sopita Khamrod

Applied Mathematics Vol.4 No.8, July 30, 2013

DOI: 10.4236/am.2013.48154 3,633 Downloads 6,907 Views Citations
A Seven-Dimensional System of the Navier-Stokes Equations for a Two-Dimensional Incompressible Fluid on a Torus (Articles)

Heyuan Wang, Yan Gao

Open Journal of Fluid Dynamics Vol.4 No.4, November 17, 2014

DOI: 10.4236/ojfd.2014.44026 3,305 Downloads 4,846 Views Citations
A Five-Mode System of the Navier-Stokes Equations on a Torus (Articles)

Heyuan Wang

Journal of Applied Mathematics and Physics Vol.4 No.7, July 22, 2016

DOI: 10.4236/jamp.2016.47130 1,820 Downloads 5,351 Views Citations
Physical-Informed Neural Networks (PINNs) for Solving Shape Optimization Problems (Articles)

Huanyu Li, Xiaoyan Li, Fangying Song

Journal of Applied Mathematics and Physics Vol.12 No.10, October 31, 2024

DOI: 10.4236/jamp.2024.1210217 131 Downloads 868 Views Citations
The Boundary Layer Equations and a Dimensional Split Method for Navier-Stokes Equations in Exterior Domain of a Spheroid and Ellipsoid (Articles)

Jian Su, Hongzhou Fan, Weibing Feng, Hao Chen, Kaitai Li

International Journal of Modern Nonlinear Theory and Application Vol.4 No.1, March 20, 2015

DOI: 10.4236/ijmnta.2015.41005 4,195 Downloads 5,313 Views Citations
Dissipation Limit for the Compressible Navier-Stokes to Euler Equations in One-Dimensional Domains (Articles)

Shangfei Cui

Journal of Applied Mathematics and Physics Vol.6 No.10, October 29, 2018

DOI: 10.4236/jamp.2018.610180 793 Downloads 1,739 Views Citations
A Short and Simple Solution of the Millennium Problem about the Navier-Stokes Equations and Similarly for the Euler Equations (Articles)

Konstantinos E. Kyritsis

Journal of Applied Mathematics and Physics Vol.10 No.8, August 31, 2022

DOI: 10.4236/jamp.2022.108172 295 Downloads 2,304 Views Citations
This article belongs to the Special Issue on Nonlinear Differential Equations
Fundamental Connections in Differential Geometry: Quantum Field Theory, Electromagnetism, Chemistry and Fluid Mechanics (Articles)

Jorge Zabadal, Ederson Staudt, Ádnei Marinho, Vinícius Ribeiro

Open Access Library Journal Vol.10 No.9, September 7, 2023

DOI: 10.4236/oalib.1110192 132 Downloads 681 Views Citations
From Hölder Continuous Solutions of 3D Incompressible Navier-Stokes Equations to No-Finite Time Blowup on $[0, \infty]$ (Articles)

Terry E. Moschandreou

Advances in Pure Mathematics Vol.14 No.9, September 12, 2024

DOI: 10.4236/apm.2024.149038 215 Downloads 1,235 Views Citations
This article belongs to the Special Issue on Mathematical Analysis and Applications
Discussion of Direct Numerical Simulation Method for Supercritical Carbon Dioxide Jet Flow (Articles)

Hui Gao, Guoqing Hu

Journal of Modern Physics Vol.4 No.10, October 31, 2013

DOI: 10.4236/jmp.2013.410171 5,795 Downloads 8,249 Views Citations
Numerical Simulation of Acoustic-Gravity Waves Propagation in a Heterogeneous Earth-Atmosphere Model with Wind in the Atmosphere (Articles)

B. G. Mikhailenko, A. A. Mikhailov, G. V. Reshetova

Journal of Applied Mathematics and Physics Vol.1 No.4, November 6, 2013

DOI: 10.4236/jamp.2013.14003 6,128 Downloads 8,467 Views Citations
Global Estimation of the Cauchy Problem Solutions’ the Navier-Stokes Equation (Articles)

A. A. Durmagambetov, L. S. Fazilova

Journal of Applied Mathematics and Physics Vol.2 No.4, March 5, 2014

DOI: 10.4236/jamp.2014.24003 3,985 Downloads 8,671 Views Citations
A Series Solution for Three-Dimensional Navier-Stokes Equations of Flow near an Infinite Rotating Disk (Articles)

Hamed Shahmohamadi, Mahdi Mohammadpour

World Journal of Mechanics Vol.4 No.5, May 26, 2014

DOI: 10.4236/wjm.2014.45014 5,189 Downloads 7,436 Views Citations
Analysis of the Navier-Stokes Equations (Articles)

Helmut Martin

Journal of Applied Mathematics and Physics Vol.2 No.10, September 24, 2014

DOI: 10.4236/jamp.2014.210106 6,356 Downloads 9,594 Views Citations
Numerical Modelling and Simulation of Sand Dune Formation in an Incompressible Out-Flow (Articles)

Yahaya Mahamane Nouri, Saley Bisso

Applied Mathematics Vol.6 No.5, May 29, 2015

DOI: 10.4236/am.2015.65080 3,295 Downloads 4,752 Views Citations
Spectral Element Simulation of Rotating Particle in Viscous Flow (Articles)

Don Liu, Ning Zhang

Journal of Applied Mathematics and Physics Vol.4 No.7, July 25, 2016

DOI: 10.4236/jamp.2016.47132 1,626 Downloads 2,747 Views Citations
The Entrance Region of Circular Pipes Revisited (Articles)

Frederick J. Young

Open Access Library Journal Vol.3 No.7, July 20, 2016

DOI: 10.4236/oalib.1102675 1,095 Downloads 2,414 Views Citations

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