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Potential Systems and Nonlocal Conservation Laws of Prandtl Boundary Layer Equations on the Surface of a Sphere

  • R. Naz EMAIL logo
Veröffentlicht/Copyright: 17. März 2017
Zeitschrift für Naturforschung A
Aus der Zeitschrift Zeitschrift für Naturforschung A Band 72 Heft 4

Abstract:

The potential systems and nonlocal conservation laws of Prandtl boundary layer equations on the surface of a sphere have been investigated. The multiplier approach yields two local conservation laws for the Prandtl boundary layer equations on the surface of a sphere. Two potential variables ψ and ϕ are introduced corresponding to first and second conservation law. Moreover, another potential variable p is introduced by considering the linear combination of both conservation laws. Two level one potential systems involving a single nonlocal variable ψ or ϕ are constructed. One level two potential system involving both nonlocal variables ψ and ϕ is established. The nonlocal variable p is utilised to derive a spectral potential system. The nonlocal conservation laws of Prandtl boundary layer equations on the surface of a sphere are derived by computing the local conservation laws of its potential systems. The nonlocal conservation laws are utilised to derive the further nonlocally related systems.

Keywords:: Multiplier Approach; Nonlocal Conservation Laws; Potential Systems

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Received: 2016-10-24
Accepted: 2017-1-26
Published Online: 2017-3-17
Published in Print: 2017-4-1

©2017 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. On Type-II Bäcklund Transformation for the MKdV Hierarchy
  3. Elastic Properties and Electronic Structure of WS2 under Pressure from First-principles Calculations
  4. Study of Caking of Powders Using NQR Relaxometry with Inversion of the Laplace Transform
  5. Rogue Waves and Hybrid Solutions of the Boussinesq Equation
  6. Exact Solution for Capillary Bridges Properties by Shooting Method
  7. Structural, Electronic, and Mechanical Properties of CoN and NiN: An Ab Initio Study
  8. On the Heisenberg Supermagnet Model in (2+1)-Dimensions
  9. Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrödinger Equation
  10. Study on the Spectrum of Photonic Crystal Cavity and Its Application in Measuring the Concentration of NaCl Solution
  11. Potential Systems and Nonlocal Conservation Laws of Prandtl Boundary Layer Equations on the Surface of a Sphere
  12. Density and Adiabatic Compressibility of the Immiscible Molten AgBr+LiCl Mixture
  13. Kaluza–Klein Bulk Viscous Fluid Cosmological Models and the Validity of the Second Law of Thermodynamics in f(R, T) Gravity
  14. Tungsten Sulfide Nanoflakes: Synthesis by Electrospinning and Their Gas Sensing Properties
  15. Crystal Structure and Bonding Analysis of (La0.8Ca0.2)(Cr0.9−x Co0.1Cux)O3 Ceramics
https://doi.org/10.1515/zna-2016-0386
Schlagwörter für diesen Artikel
Multiplier Approach; Nonlocal Conservation Laws; Potential Systems

Artikel in diesem Heft

  1. Frontmatter
  2. On Type-II Bäcklund Transformation for the MKdV Hierarchy
  3. Elastic Properties and Electronic Structure of WS2 under Pressure from First-principles Calculations
  4. Study of Caking of Powders Using NQR Relaxometry with Inversion of the Laplace Transform
  5. Rogue Waves and Hybrid Solutions of the Boussinesq Equation
  6. Exact Solution for Capillary Bridges Properties by Shooting Method
  7. Structural, Electronic, and Mechanical Properties of CoN and NiN: An Ab Initio Study
  8. On the Heisenberg Supermagnet Model in (2+1)-Dimensions
  9. Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrödinger Equation
  10. Study on the Spectrum of Photonic Crystal Cavity and Its Application in Measuring the Concentration of NaCl Solution
  11. Potential Systems and Nonlocal Conservation Laws of Prandtl Boundary Layer Equations on the Surface of a Sphere
  12. Density and Adiabatic Compressibility of the Immiscible Molten AgBr+LiCl Mixture
  13. Kaluza–Klein Bulk Viscous Fluid Cosmological Models and the Validity of the Second Law of Thermodynamics in f(R, T) Gravity
  14. Tungsten Sulfide Nanoflakes: Synthesis by Electrospinning and Their Gas Sensing Properties
  15. Crystal Structure and Bonding Analysis of (La0.8Ca0.2)(Cr0.9−x Co0.1Cux)O3 Ceramics
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