09/2016, Cambridge studies in advanced mathematics, ISBN 9781107019669, Volume 157, 467

...–Stokes equations, this book provides self-contained proofs of some of the most significant results in the area, many of which can only be found in research papers...

Navier-Stokes equations

Navier-Stokes equations

eBook

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 11/2016, Volume 311, pp. 856 - 888

Recently, because of simplicity of meshless methods, they have been employed for solving many partial differential equations...

Variational multiscale element free Galerkin meshless method | Meshless methods | Incompressible Navier–Stokes equation | Proper orthogonal decomposition method | Meshiess methods | POINT INTERPOLATION METHOD | VISCOUS FLOWS | IEFG METHOD | PARALLEL COMPUTATION | IMMERSED OBJECT METHOD | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | ERROR ESTIMATION | Incompressible Navier-Stokes equation | MODEL-REDUCTION | KRIGING LOKRIGING METHOD | ADAPTIVE REFINEMENT | Fluid dynamics | Methods | Differential equations | Numerical analysis | Analysis

Variational multiscale element free Galerkin meshless method | Meshless methods | Incompressible Navier–Stokes equation | Proper orthogonal decomposition method | Meshiess methods | POINT INTERPOLATION METHOD | VISCOUS FLOWS | IEFG METHOD | PARALLEL COMPUTATION | IMMERSED OBJECT METHOD | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | ERROR ESTIMATION | Incompressible Navier-Stokes equation | MODEL-REDUCTION | KRIGING LOKRIGING METHOD | ADAPTIVE REFINEMENT | Fluid dynamics | Methods | Differential equations | Numerical analysis | Analysis

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 2017, Volume 73, Issue 6, pp. 874 - 891

This paper is concerned with the Navier–Stokes equations with time-fractional derivative of order α∈(0,1...

Navier–Stokes equations | Mittag-Leffler functions | Mild solutions | Caputo fractional derivative | Regularity | EXISTENCE | MATHEMATICS, APPLIED | EXTERIOR DOMAINS | SPACES | CAUCHY-PROBLEM | Navier-Stokes equations | Fluid dynamics

Navier–Stokes equations | Mittag-Leffler functions | Mild solutions | Caputo fractional derivative | Regularity | EXISTENCE | MATHEMATICS, APPLIED | EXTERIOR DOMAINS | SPACES | CAUCHY-PROBLEM | Navier-Stokes equations | Fluid dynamics

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 2017, Volume 73, Issue 6, pp. 1016 - 1027

In this paper, we deal with the Navier–Stokes equations with the time-fractional derivative of order α∈(0,1...

Navier–Stokes equations | Weak solutions | Optimal controls | Caputo fractional derivative | Existence | MATHEMATICS, APPLIED | Navier-Stokes equations | Fluid dynamics

Navier–Stokes equations | Weak solutions | Optimal controls | Caputo fractional derivative | Existence | MATHEMATICS, APPLIED | Navier-Stokes equations | Fluid dynamics

Journal Article

Journal of mathematical fluid mechanics, ISSN 1422-6928, 1999

Journal

Journal of computational physics, ISSN 0021-9991, 2005, Volume 210, Issue 2, pp. 676 - 704

In this article we analyze the lattice Boltzmann equation (LBE) by using the asymptotic expansion technique...

Discrete velocity model | Linear collision operator | Lattice Boltzmann equation | Diffusive scaling | Asymptotic analysis | Incompressible Navier–Stokes equation | Incompressible Navier-Stokes equation | incompressible Navier-Stokes equation | discrete velocity model | NUMBER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | diffusive scaling | linear collision operator | asymptotic analysis | lattice Boltzmann equation | PHYSICS, MATHEMATICAL | NAVIER-STOKES LIMIT | Boltzmann equation | Asymptotic properties | Mathematical analysis | Lattices | Consistency | Boltzmann transport equation | Mathematical models | Navier-Stokes equations

Discrete velocity model | Linear collision operator | Lattice Boltzmann equation | Diffusive scaling | Asymptotic analysis | Incompressible Navier–Stokes equation | Incompressible Navier-Stokes equation | incompressible Navier-Stokes equation | discrete velocity model | NUMBER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | diffusive scaling | linear collision operator | asymptotic analysis | lattice Boltzmann equation | PHYSICS, MATHEMATICAL | NAVIER-STOKES LIMIT | Boltzmann equation | Asymptotic properties | Mathematical analysis | Lattices | Consistency | Boltzmann transport equation | Mathematical models | Navier-Stokes equations

Journal Article

Archive for rational mechanics and analysis, ISSN 1432-0673, 2019, Volume 234, Issue 2, pp. 727 - 775

We establish the vanishing viscosity limit of the Navier–Stokes equations to the Euler equations for three-dimensional compressible isentropic flow in the whole space...

Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | DERIVATION | EXISTENCE | MATHEMATICS, APPLIED | MECHANICS | MODELS | CLASSICAL-SOLUTIONS | KORTEWEG | SHALLOW-WATER EQUATIONS | Viscosity | Three dimensional flow | Fluid dynamics | Mathematical analysis | Fluid flow | Inviscid flow | Euler-Lagrange equation | Navier-Stokes equations | Compressible fluids | Viscous flow

Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | DERIVATION | EXISTENCE | MATHEMATICS, APPLIED | MECHANICS | MODELS | CLASSICAL-SOLUTIONS | KORTEWEG | SHALLOW-WATER EQUATIONS | Viscosity | Three dimensional flow | Fluid dynamics | Mathematical analysis | Fluid flow | Inviscid flow | Euler-Lagrange equation | Navier-Stokes equations | Compressible fluids | Viscous flow

Journal Article

Journal of mathematical fluid mechanics, ISSN 1422-6928, 2019, Volume 21, Issue 3, pp. 1 - 28

In this paper, we prove the existence of forward discretely self-similar solutions to the MHD equations and the viscoelastic Navier...

Discretely self-similar solutions | Magnetohydrodynamics equations | 76A10 | Mathematical Methods in Physics | Fluid- and Aerodynamics | Classical and Continuum Physics | 76D03 | Viscoelastic Navier–Stokes equations with damping | 76W05 | Physics | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Viscoelastic Navier-Stokes equations with damping | PHYSICS, FLUIDS & PLASMAS | WEAK SOLUTIONS | PARTIAL REGULARITY | Fluid dynamics

Discretely self-similar solutions | Magnetohydrodynamics equations | 76A10 | Mathematical Methods in Physics | Fluid- and Aerodynamics | Classical and Continuum Physics | 76D03 | Viscoelastic Navier–Stokes equations with damping | 76W05 | Physics | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Viscoelastic Navier-Stokes equations with damping | PHYSICS, FLUIDS & PLASMAS | WEAK SOLUTIONS | PARTIAL REGULARITY | Fluid dynamics

Journal Article

Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 04/2018, Volume 28, Issue 4, pp. 697 - 732

We provide a rigorous derivation of the compressible Reynolds system as a singular limit of the compressible (barotropic) Navier-Stokes system on a thin...

stationary Navier-Stokes equations | Bogovskii's operator | lubrication | Reynolds equation | Compressible fluids | thin films | SYSTEM | MATHEMATICS, APPLIED | 2-PHASE MODEL | FLUID | OF-STATE | FLOWS

stationary Navier-Stokes equations | Bogovskii's operator | lubrication | Reynolds equation | Compressible fluids | thin films | SYSTEM | MATHEMATICS, APPLIED | 2-PHASE MODEL | FLUID | OF-STATE | FLOWS

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 10/2014, Volume 274, pp. 50 - 63

A modified lattice Boltzmann model with multiple relaxation times (MRT) for the convection–diffusion equation (CDE) is proposed. By modifying the relaxation...

Modified relaxation matrix | Convection–diffusion equation | Deviation term | Anisotropic diffusion | Lattice Boltzmann model | Convection-diffusion equation | DISPERSION | STABILITY | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ADVECTION | NAVIER-STOKES EQUATION | FLOWS | NUMERICAL SIMULATIONS | PARTICULATE SUSPENSIONS | SCHEMES | Anisotropy | Analysis | Models | Mechanical engineering | Mathematical analysis | Mathematical models | Dispersions | Vectors (mathematics) | Diffusion | Relaxation time | Physics - Computational Physics

Modified relaxation matrix | Convection–diffusion equation | Deviation term | Anisotropic diffusion | Lattice Boltzmann model | Convection-diffusion equation | DISPERSION | STABILITY | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ADVECTION | NAVIER-STOKES EQUATION | FLOWS | NUMERICAL SIMULATIONS | PARTICULATE SUSPENSIONS | SCHEMES | Anisotropy | Analysis | Models | Mechanical engineering | Mathematical analysis | Mathematical models | Dispersions | Vectors (mathematics) | Diffusion | Relaxation time | Physics - Computational Physics

Journal Article

Communications in mathematical physics, ISSN 1432-0916, 2014, Volume 330, Issue 3, pp. 1179 - 1225

In this paper we deal with weak solutions to the Maxwell–Landau–Lifshitz equations and to the Hall–Magneto...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | NONUNIQUENESS | INCOMPRESSIBLE EULER | NAVIER-STOKES EQUATIONS | CONSERVATION | DIMENSION | IDEAL HYDRODYNAMICS | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | EULER EQUATIONS | CONJECTURE | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | NONUNIQUENESS | INCOMPRESSIBLE EULER | NAVIER-STOKES EQUATIONS | CONSERVATION | DIMENSION | IDEAL HYDRODYNAMICS | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | EULER EQUATIONS | CONJECTURE | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Journal Article

2006, London Mathematical Society lecture note series, ISBN 9780521681629, Volume 334, x, 196

The Navier-Stokes equations were firmly established in the 19th Century as the system of nonlinear partial differential equations which describe the motion of most commonly occurring fluids in air...

Navier-Stokes equations

Navier-Stokes equations

Book

1979, Rev. ed., ISBN 0444853081, Volume 2, 1979., x, 519

Book

Journal of computational physics, ISSN 0021-9991, 2010, Volume 229, Issue 20, pp. 7747 - 7764

.... In comparison with many existing kinetic schemes for the Boltzmann equation, the current method has no difficulty to get accurate Navier–Stokes (NS...

Navier–Stokes equations | Unified scheme | Free molecule flow | Navier-Stokes equations | BGK SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | BOLTZMANN-EQUATION | NUMERICAL SCHEMES | SIMULATION | PHYSICS, MATHEMATICAL | Analysis | Merchant seamen | Collisions (Nuclear physics) | Boltzmann equation | Discretization | Mathematical analysis | Continuum flow | Mathematical models | Transport | Collision dynamics | Distribution functions | DIFFERENTIAL EQUATIONS | DIMENSIONLESS NUMBERS | EQUATIONS | BOLTZMANN EQUATION | FUNCTIONS | COMPUTERIZED SIMULATION | PRANDTL NUMBER | MATHEMATICAL SOLUTIONS | DISTRIBUTION FUNCTIONS | KNUDSEN FLOW | NAVIER-STOKES EQUATIONS | REYNOLDS NUMBER | PARTIAL DIFFERENTIAL EQUATIONS | HEAT FLUX | INTEGRO-DIFFERENTIAL EQUATIONS | FLUID FLOW | GAS FLOW | KINETIC EQUATIONS | MATHEMATICAL METHODS AND COMPUTING

Navier–Stokes equations | Unified scheme | Free molecule flow | Navier-Stokes equations | BGK SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | BOLTZMANN-EQUATION | NUMERICAL SCHEMES | SIMULATION | PHYSICS, MATHEMATICAL | Analysis | Merchant seamen | Collisions (Nuclear physics) | Boltzmann equation | Discretization | Mathematical analysis | Continuum flow | Mathematical models | Transport | Collision dynamics | Distribution functions | DIFFERENTIAL EQUATIONS | DIMENSIONLESS NUMBERS | EQUATIONS | BOLTZMANN EQUATION | FUNCTIONS | COMPUTERIZED SIMULATION | PRANDTL NUMBER | MATHEMATICAL SOLUTIONS | DISTRIBUTION FUNCTIONS | KNUDSEN FLOW | NAVIER-STOKES EQUATIONS | REYNOLDS NUMBER | PARTIAL DIFFERENTIAL EQUATIONS | HEAT FLUX | INTEGRO-DIFFERENTIAL EQUATIONS | FLUID FLOW | GAS FLOW | KINETIC EQUATIONS | MATHEMATICAL METHODS AND COMPUTING

Journal Article

Journal of computational physics, ISSN 0021-9991, 2019, Volume 396, pp. 669 - 686

Permeability estimation of porous media from directly solving the Navier–Stokes equations has a wide spectrum of applications in petroleum industry...

Projection method | Porous media | Interior penalty discontinuous Galerkin method | Incompressible Navier–Stokes equation | BENCHMARKS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Incompressible Navier-Stokes equation | PHYSICS, MATHEMATICAL | SPLITTING METHOD | FLOW | CT imaging | Algorithms | Permeability | Robustness (mathematics) | Computational fluid dynamics | Computer simulation | Fluid flow | Galerkin method | Navier-Stokes equations

Projection method | Porous media | Interior penalty discontinuous Galerkin method | Incompressible Navier–Stokes equation | BENCHMARKS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Incompressible Navier-Stokes equation | PHYSICS, MATHEMATICAL | SPLITTING METHOD | FLOW | CT imaging | Algorithms | Permeability | Robustness (mathematics) | Computational fluid dynamics | Computer simulation | Fluid flow | Galerkin method | Navier-Stokes equations

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 2018, Volume 76, Issue 1, pp. 35 - 44

We consider an initial–boundary value problem for the two-dimensional Burgers equation on the plane...

Unbounded domains | Fourier transform | Galerkin method | Gaussian function | Navier–Stokes equation | Burgers equation | SYSTEM | MATHEMATICS, APPLIED | DECOMPOSITION METHOD | Navier-Stokes equation | Turbulence | Methods | Algorithms

Unbounded domains | Fourier transform | Galerkin method | Gaussian function | Navier–Stokes equation | Burgers equation | SYSTEM | MATHEMATICS, APPLIED | DECOMPOSITION METHOD | Navier-Stokes equation | Turbulence | Methods | Algorithms

Journal Article

1985, ISBN 3528089156, Volume E8., xxiv, 264

Book

Nonlinear analysis, ISSN 0362-546X, 2011, Volume 74, Issue 18, pp. 7543 - 7561

In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on a Banach space with locally monotone operators, which is a generalization of the classical...

Porous medium equation | [formula omitted]-Laplace equation | Pseudo-monotone | Reaction–diffusion equation | Navier–Stokes equation | Locally monotone | Nonlinear evolution equation | Burgers equation | Reactiondiffusion equation | p-Laplace equation | NavierStokes equation | MATHEMATICS, APPLIED | FAST-DIFFUSION-EQUATIONS | SPACES | ATTRACTOR | MODEL | Navier-Stokes equation | MATHEMATICS | Reaction-diffusion equation | GENERALIZED POROUS-MEDIA | HARNACK INEQUALITY | NON-LINEAR EQUATIONS | Operators | Mathematical analysis | Uniqueness | Nonlinear evolution equations | Mathematical models | Three dimensional | Navier-Stokes equations

Porous medium equation | [formula omitted]-Laplace equation | Pseudo-monotone | Reaction–diffusion equation | Navier–Stokes equation | Locally monotone | Nonlinear evolution equation | Burgers equation | Reactiondiffusion equation | p-Laplace equation | NavierStokes equation | MATHEMATICS, APPLIED | FAST-DIFFUSION-EQUATIONS | SPACES | ATTRACTOR | MODEL | Navier-Stokes equation | MATHEMATICS | Reaction-diffusion equation | GENERALIZED POROUS-MEDIA | HARNACK INEQUALITY | NON-LINEAR EQUATIONS | Operators | Mathematical analysis | Uniqueness | Nonlinear evolution equations | Mathematical models | Three dimensional | Navier-Stokes equations

Journal Article