Optimal System; Invariant Solutions; Partially Invariant Solutions; Navier-Stokes Equations - Articles

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 4,026 Downloads 7,082 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 3,636 Downloads 6,920 Views Citations
Unique Measure for the Time-Periodic Navier-Stokes on the Sphere Navier-Stokes on the Sphere (Articles)

Gregory Varner

Applied Mathematics Vol.6 No.11, October 16, 2015

DOI: 10.4236/am.2015.611160 3,085 Downloads 4,302 Views Citations
Deterministic Chaos of Exponential Oscillons and Pulsons (Articles)

Victor A. Miroshnikov

American Journal of Computational Mathematics Vol.10 No.1, March 4, 2020

DOI: 10.4236/ajcm.2020.101004 594 Downloads 1,515 Views Citations
Lie Symmetries, 1-Dimensional Optimal System and Optimal Reductions of (1 + 2)-Dimensional Nonlinear Schrödinger Equation (Articles)

Meirong Mu, Chaolu Temuer

Journal of Applied Mathematics and Physics Vol.2 No.7, June 17, 2014

DOI: 10.4236/jamp.2014.27067 4,330 Downloads 6,010 Views Citations
Hyperbolic Monge-Ampère Equation (Articles)

Fang Gao

Journal of Applied Mathematics and Physics Vol.8 No.12, December 23, 2020

DOI: 10.4236/jamp.2020.812220 532 Downloads 1,492 Views Citations
Classical Fundamental Unique Solution for the Incompressible Navier-Stokes Equation in R^N (Articles)

Waleed S. Khedr

Journal of Applied Mathematics and Physics Vol.5 No.4, April 30, 2017

DOI: 10.4236/jamp.2017.54083 1,709 Downloads 4,037 Views Citations
Hyperbolic Method to Explore Multiplicity Flow Solutions in a Four-Sided Lid-Driven Cavity (Articles)

Hubert Baty

American Journal of Computational Mathematics Vol.12 No.3, September 6, 2022

DOI: 10.4236/ajcm.2022.123021 306 Downloads 1,012 Views Citations
Exact Solution for Thermal Stagnation-Point Flow with Surface Curvature and External Vorticity Effects (Articles)

Ronald Ming Cho So, Elizabeth Wing Sze Kam

Journal of Applied Mathematics and Physics Vol.5 No.4, April 30, 2017

DOI: 10.4236/jamp.2017.54085 1,490 Downloads 3,197 Views Citations
On the Construction and Classification of the Common Invariant Solutions for Some P(1,4) -Invariant Partial Differential Equations (Articles)

Vasyl M. Fedorchuk, Volodymyr I. Fedorchuk

Applied Mathematics Vol.14 No.11, November 9, 2023

DOI: 10.4236/am.2023.1411044 236 Downloads 900 Views Citations
Potential Symmetries, One-Dimensional Optimal System and Invariant Solutions of the Coupled Burgers’ Equations (Articles)

Yuexing Bai, Sudao Bilige, Temuer Chaolu

Journal of Applied Mathematics and Physics Vol.6 No.9, September 11, 2018

DOI: 10.4236/jamp.2018.69156 1,696 Downloads 2,846 Views Citations
Wave Turbulence of Exponential Oscillons and Pulsons (Articles)

Victor A. Miroshnikov

American Journal of Computational Mathematics Vol.14 No.1, March 29, 2024

DOI: 10.4236/ajcm.2024.141004 284 Downloads 844 Views Citations
Time-Periodic Solutions of the Hydrodynamic Equations for a Reacting Mixture in n-Dimension (Articles)

Chenhan Wang

Open Journal of Applied Sciences Vol.12 No.4, April 29, 2022

DOI: 10.4236/ojapps.2022.124040 242 Downloads 788 Views Citations
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 3,281 Downloads 6,113 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 3,603 Downloads 4,873 Views Citations
The Global Stability Analysis of a Mathematical Cellular Model of Hepatitis C Virus Infection with Non-Cytolytic Process (Articles)

Alexis Nangue, Cyprien Fokoue, Raoue Poumeni

Journal of Applied Mathematics and Physics Vol.7 No.7, July 24, 2019

DOI: 10.4236/jamp.2019.77104 1,056 Downloads 2,674 Views Citations
Existence and Concentration of Sign-Changing Solutions of Quasilinear Choquard Equation (Articles)

Die Wang, Yuqi Wang, Shaoxiong Chen

Journal of Applied Mathematics and Physics Vol.11 No.4, April 28, 2023

DOI: 10.4236/jamp.2023.114074 236 Downloads 1,201 Views Citations
The Numerical Solutions of Systems of Nonlinear Integral Equations with the Spline Functions (Articles)

Xiaoyan Liu, Yurong Pan

Journal of Applied Mathematics and Physics Vol.8 No.3, March 12, 2020

DOI: 10.4236/jamp.2020.83037 896 Downloads 2,424 Views Citations
This article belongs to the Special Issue on Differential Dynamical Systems
Experimental Quantization of Exact Wave Turbulence I: Spatial Quantization (Articles)

Victor A. Miroshnikov

American Journal of Computational Mathematics Vol.15 No.3, September 23, 2025

DOI: 10.4236/ajcm.2025.153018 60 Downloads 459 Views Citations
Experimental Quantization of Exact Wave Turbulence II: Temporal Quantization (Articles)

Victor A. Miroshnikov

American Journal of Computational Mathematics Vol.15 No.4, October 31, 2025

DOI: 10.4236/ajcm.2025.154019 72 Downloads 868 Views Citations

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