International Journal of Thermophysics, ISSN 0195-928X, 12/2017, Volume 38, Issue 12, pp. 1 - 12

A wide-ranging formulation for the viscosity of methane in the limit of zero density is presented. Using ab initio calculated data of Hellmann et al. (J Chem...

Condensed Matter Physics | Methane | Reference standards | Viscosity | Symbolic regression | Correlation | Limit of zero density | Physical Chemistry | Molecular interactions | Classical Mechanics | Industrial Chemistry/Chemical Engineering | Physics | GASEOUS-MIXTURES | PHYSICS, APPLIED | THERMOPHYSICAL PROPERTIES | CHEMISTRY, PHYSICAL | HYDROGEN-SULFIDE | MOLECULE PAIR | TEMPERATURE VISCOSITIES | INTERMOLECULAR FORCES | MECHANICS | THERMODYNAMICS | ATOM PAIR | POTENTIAL-ENERGY SURFACE | GAS | CARBON-DIOXIDE

Condensed Matter Physics | Methane | Reference standards | Viscosity | Symbolic regression | Correlation | Limit of zero density | Physical Chemistry | Molecular interactions | Classical Mechanics | Industrial Chemistry/Chemical Engineering | Physics | GASEOUS-MIXTURES | PHYSICS, APPLIED | THERMOPHYSICAL PROPERTIES | CHEMISTRY, PHYSICAL | HYDROGEN-SULFIDE | MOLECULE PAIR | TEMPERATURE VISCOSITIES | INTERMOLECULAR FORCES | MECHANICS | THERMODYNAMICS | ATOM PAIR | POTENTIAL-ENERGY SURFACE | GAS | CARBON-DIOXIDE

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2011, Volume 250, Issue 4, pp. 2162 - 2176

Based on geometric singular perturbation theory we prove the existence of classical Liénard equations of degree 6 having 4 limit cycles. It implies the...

Singular perturbations | Relaxation oscillation | Limit cycles | Classical Liénard equations | Slow–fast system | Slow-fast system | MATHEMATICS | Classical Lienard equations

Singular perturbations | Relaxation oscillation | Limit cycles | Classical Liénard equations | Slow–fast system | Slow-fast system | MATHEMATICS | Classical Lienard equations

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 7/2014, Volume 329, Issue 2, pp. 725 - 744

A combined incompressible and vanishing capillarity limit in the barotropic compressible Navier–Stokes equations for smooth solutions is proved. The equations...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | SINGULAR LIMITS | HYPERBOLIC SYSTEMS | COMPRESSIBLE FLUID | SAINT-VENANT SYSTEM | INCOMPRESSIBLE LIMIT | MACH NUMBER LIMIT | PHYSICS, MATHEMATICAL | GLOBAL WEAK SOLUTIONS | ROTATING FLUIDS | SHALLOW-WATER EQUATIONS | Mathematics - Analysis of PDEs

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | SINGULAR LIMITS | HYPERBOLIC SYSTEMS | COMPRESSIBLE FLUID | SAINT-VENANT SYSTEM | INCOMPRESSIBLE LIMIT | MACH NUMBER LIMIT | PHYSICS, MATHEMATICAL | GLOBAL WEAK SOLUTIONS | ROTATING FLUIDS | SHALLOW-WATER EQUATIONS | Mathematics - Analysis of PDEs

Journal Article

Journal de mathématiques pures et appliquées, ISSN 0021-7824, 03/2017, Volume 107, Issue 3, pp. 315 - 335

We consider the Rosenau–Korteweg–de Vries equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the...

Entropy condition | Compensated compactness | Singular limit | Rosenau–KdV-equation | MATHEMATICS, APPLIED | OSTROVSKY | NUMERICAL-METHOD | APPROXIMATIONS | Rosenau-KdV-equation | MATHEMATICS | SCHEME | WAVES | SOLITONS | DYNAMICS | CONVERGENCE | DIFFUSION | KDV | Environmental law

Entropy condition | Compensated compactness | Singular limit | Rosenau–KdV-equation | MATHEMATICS, APPLIED | OSTROVSKY | NUMERICAL-METHOD | APPROXIMATIONS | Rosenau-KdV-equation | MATHEMATICS | SCHEME | WAVES | SOLITONS | DYNAMICS | CONVERGENCE | DIFFUSION | KDV | Environmental law

Journal Article

The Astrophysical Journal, ISSN 0004-637X, 07/2008, Volume 681, Issue 2, pp. 1356 - 1376

Magnetic fields are usually considered dynamically important in star formation when the dimensionless mass-to-flux ratio is close to, or less than, unity...

MHD | Stars: formation | Accretion, accretion disks | ISM: magnetic fields | SINGULAR ISOTHERMAL TOROIDS | GRAVITATIONAL COLLAPSE | accretion, accretion disks | STAR-FORMATION | CONSTRAINED TRANSPORT | 2 SPACE DIMENSIONS | ISM : magnetic fields | stars : formation | DENSE CORE | SELF-SIMILAR COLLAPSE | ASTRONOMY & ASTROPHYSICS | MOLECULAR CLOUD CORES | RADIATION MAGNETOHYDRODYNAMICS CODE | ASTROPHYSICAL FLOWS | Physics - Cosmology and Nongalactic Astrophysics | Physics - Earth and Planetary Astrophysics | Physics - Instrumentation and Methods for Astrophysics | Physics - High Energy Astrophysical Phenomena | Physics - Solar and Stellar Astrophysics | Physics - Astrophysics of Galaxies

MHD | Stars: formation | Accretion, accretion disks | ISM: magnetic fields | SINGULAR ISOTHERMAL TOROIDS | GRAVITATIONAL COLLAPSE | accretion, accretion disks | STAR-FORMATION | CONSTRAINED TRANSPORT | 2 SPACE DIMENSIONS | ISM : magnetic fields | stars : formation | DENSE CORE | SELF-SIMILAR COLLAPSE | ASTRONOMY & ASTROPHYSICS | MOLECULAR CLOUD CORES | RADIATION MAGNETOHYDRODYNAMICS CODE | ASTROPHYSICAL FLOWS | Physics - Cosmology and Nongalactic Astrophysics | Physics - Earth and Planetary Astrophysics | Physics - Instrumentation and Methods for Astrophysics | Physics - High Energy Astrophysical Phenomena | Physics - Solar and Stellar Astrophysics | Physics - Astrophysics of Galaxies

Journal Article

Advances in Mathematics, ISSN 0001-8708, 10/2017, Volume 319, pp. 348 - 395

The low Mach limit for 1D non-isentropic compressible Navier–Stokes flow, whose density and temperature have different asymptotic states at infinity, is...

Compressible Navier–Stokes equations | Ill-prepared data | Low Mach limit | Nonlinear diffusion wave | Well-prepared data | NUMBER LIMIT | BOUNDARY-CONDITIONS | INCOMPRESSIBLE LIMIT | MAGNETOHYDRODYNAMIC EQUATIONS | MATHEMATICS | THERMAL-CONDUCTIVITY COEFFICIENT | SINGULAR LIMITS | NONISENTROPIC EULER EQUATIONS | BOLTZMANN-EQUATION | EXTERIOR DOMAIN | KORTEWEG-THEORY | Compressible Navier-Stokes equations | Fluid dynamics

Compressible Navier–Stokes equations | Ill-prepared data | Low Mach limit | Nonlinear diffusion wave | Well-prepared data | NUMBER LIMIT | BOUNDARY-CONDITIONS | INCOMPRESSIBLE LIMIT | MAGNETOHYDRODYNAMIC EQUATIONS | MATHEMATICS | THERMAL-CONDUCTIVITY COEFFICIENT | SINGULAR LIMITS | NONISENTROPIC EULER EQUATIONS | BOLTZMANN-EQUATION | EXTERIOR DOMAIN | KORTEWEG-THEORY | Compressible Navier-Stokes equations | Fluid dynamics

Journal Article

7.
Full Text
Two-point one-dimensional δ-δ′ Interactions: Non-abelian addition law and decoupling limit

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 12/2015, Volume 49, Issue 1

In this contribution to the study of one-dimensional point potentials, we prove that if we take the limit q -> 0 on a potential of the type v(0)delta(y) +...

group theory | quantum mechanics | delta prime | point interactions | quantum dynamical systems | singular potentials | STATES | PHYSICS, MULTIDISCIPLINARY | PISTONS | PHYSICS, MATHEMATICAL | ENERGIES | OPERATORS | SCATTERING

group theory | quantum mechanics | delta prime | point interactions | quantum dynamical systems | singular potentials | STATES | PHYSICS, MULTIDISCIPLINARY | PISTONS | PHYSICS, MATHEMATICAL | ENERGIES | OPERATORS | SCATTERING

Journal Article

Journal of Mathematical Biology, ISSN 0303-6812, 2/2018, Volume 76, Issue 3, pp. 531 - 565

The effect of dispersal under heterogeneous environment is studied in terms of the singular limit of an Allen–Cahn equation. Since biological organisms often...

Perturbed motion by mean curvature | Fokker–Planck type diffusion | Generation and propagation of interface | 35B25 | Mathematical and Computational Biology | Singular limit | Mathematics | 92C17 | 35R35 | Applications of Mathematics | 35K57 | Food metric | SYSTEM | CHEMOTAXIS | REACTION-DIFFUSION EQUATION | MODEL | Fokker-Planck type diffusion | MOTION | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | INTERFACES | INHOMOGENEOUS REACTION TERM | PROPAGATION | Usage | Mathematical models | Models | Diffusion | Food consumption | Diffusion rate | Dispersal | Migration | Spatial discrimination | Spatial heterogeneity | Curvature | Dispersion | Environmental effects | Food

Perturbed motion by mean curvature | Fokker–Planck type diffusion | Generation and propagation of interface | 35B25 | Mathematical and Computational Biology | Singular limit | Mathematics | 92C17 | 35R35 | Applications of Mathematics | 35K57 | Food metric | SYSTEM | CHEMOTAXIS | REACTION-DIFFUSION EQUATION | MODEL | Fokker-Planck type diffusion | MOTION | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | INTERFACES | INHOMOGENEOUS REACTION TERM | PROPAGATION | Usage | Mathematical models | Models | Diffusion | Food consumption | Diffusion rate | Dispersal | Migration | Spatial discrimination | Spatial heterogeneity | Curvature | Dispersion | Environmental effects | Food

Journal Article

Mechanical Systems and Signal Processing, ISSN 0888-3270, 06/2016, Volume 75, pp. 455 - 472

Fully electric vehicles with individually controlled drivetrains can provide a high degree of drivability and vehicle safety, all while increasing the...

Fully electric vehicle | Yaw rate and sideslip control | Phase-plane analysis | Direct yaw moment control | Enhanced Sport Mode | Singular value decomposition | ENGINEERING, MECHANICAL | Electric vehicles | Control systems | Analysis | Controllers | Friction | Cornering | Yaw | Sideslip | Vehicles

Fully electric vehicle | Yaw rate and sideslip control | Phase-plane analysis | Direct yaw moment control | Enhanced Sport Mode | Singular value decomposition | ENGINEERING, MECHANICAL | Electric vehicles | Control systems | Analysis | Controllers | Friction | Cornering | Yaw | Sideslip | Vehicles

Journal Article

Physics Letters A, ISSN 0375-9601, 02/2017, Volume 381, Issue 6, pp. 597 - 603

Dynamics arising in the Hindmarsh–Rose model are considered from a novel perspective. We study qualitative changes that occur as the time scale of the slow...

Slow-fast dynamics | Hindmarsh–Rose model | Spike-adding | Singular limit | Hindmarsh-Rose model | PHYSICS, MULTIDISCIPLINARY | BIFURCATIONS | HOPF

Slow-fast dynamics | Hindmarsh–Rose model | Spike-adding | Singular limit | Hindmarsh-Rose model | PHYSICS, MULTIDISCIPLINARY | BIFURCATIONS | HOPF

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 8/2016, Volume 85, Issue 3, pp. 1665 - 1677

By using the bifurcation method of dynamical systems, we investigate the singular solutions and their limit forms for generalized...

Engineering | Vibration, Dynamical Systems, Control | Singular solutions | Mechanics | Limit forms | Automotive Engineering | Mechanical Engineering | Generalized Calogero–Bogoyavlenskii–Schiff equation | Bifurcation method | EXPANSION METHOD | F-EXPANSION | MECHANICS | Generalized Calogero-Bogoyavlenskii-Schiff equation | PERIODIC-WAVE SOLUTIONS | MULTIPLE-SOLITON-SOLUTIONS | BIFURCATION | ENGINEERING, MECHANICAL | Computer science | Bifurcations | Elliptic functions | Hyperbolic functions | Trigonometric functions

Engineering | Vibration, Dynamical Systems, Control | Singular solutions | Mechanics | Limit forms | Automotive Engineering | Mechanical Engineering | Generalized Calogero–Bogoyavlenskii–Schiff equation | Bifurcation method | EXPANSION METHOD | F-EXPANSION | MECHANICS | Generalized Calogero-Bogoyavlenskii-Schiff equation | PERIODIC-WAVE SOLUTIONS | MULTIPLE-SOLITON-SOLUTIONS | BIFURCATION | ENGINEERING, MECHANICAL | Computer science | Bifurcations | Elliptic functions | Hyperbolic functions | Trigonometric functions

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 12/2018, Volume 86, pp. 77 - 82

The small Alfvén number limit of the plane magnetohydrodynamic flows is rigorously proved under appropriate initial conditions. The limit system that we...

Smooth solution | Alfvén number | Plane magnetohydrodynamic flows | SINGULAR LIMITS | MATHEMATICS, APPLIED | Alfven number | HYPERBOLIC SYSTEMS | INCOMPRESSIBLE LIMIT | LARGE PARAMETER

Smooth solution | Alfvén number | Plane magnetohydrodynamic flows | SINGULAR LIMITS | MATHEMATICS, APPLIED | Alfven number | HYPERBOLIC SYSTEMS | INCOMPRESSIBLE LIMIT | LARGE PARAMETER

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 6/2019, Volume 79, Issue 3, pp. 1907 - 1935

We propose and compare numerically spatial/temporal resolution of various efficient numerical methods for solving the Klein–Gordon–Dirac system (KGD) in the...

Optimal resolution | Computational Mathematics and Numerical Analysis | Nonrelativistic limit regime | Time-splitting technique | Klein–Gordon–Dirac system | Theoretical, Mathematical and Computational Physics | 35Q55 | Mathematics | High oscillation | Exponential wave integrator | 81Q05 | Algorithms | 65M70 | Mathematical and Computational Engineering | Yukawa interaction | NUMERICAL-METHODS | MATHEMATICS, APPLIED | Klein-Gordon-Dirac system | EQUATION | Analysis | Methods | Resveratrol

Optimal resolution | Computational Mathematics and Numerical Analysis | Nonrelativistic limit regime | Time-splitting technique | Klein–Gordon–Dirac system | Theoretical, Mathematical and Computational Physics | 35Q55 | Mathematics | High oscillation | Exponential wave integrator | 81Q05 | Algorithms | 65M70 | Mathematical and Computational Engineering | Yukawa interaction | NUMERICAL-METHODS | MATHEMATICS, APPLIED | Klein-Gordon-Dirac system | EQUATION | Analysis | Methods | Resveratrol

Journal Article

Automatica, ISSN 0005-1098, 12/2013, Volume 49, Issue 12, pp. 3613 - 3622

We develop analytical and numerical conditions to determine whether limit cycle oscillations synchronize in diffusively coupled systems. We examine two classes...

Diffusively-coupled systems | Limit cycles | Synchronization | Time-varying systems | Structured singular value | TIME-PERIODIC-SYSTEMS | PATTERN-FORMATION | ROBUSTNESS | STABILITY | KURAMOTO | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Nonlinear dynamics | Asymptotic properties | Mathematical analysis | Compartments | Trajectories | Diffusion | Dynamical systems | Oscillators

Diffusively-coupled systems | Limit cycles | Synchronization | Time-varying systems | Structured singular value | TIME-PERIODIC-SYSTEMS | PATTERN-FORMATION | ROBUSTNESS | STABILITY | KURAMOTO | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Nonlinear dynamics | Asymptotic properties | Mathematical analysis | Compartments | Trajectories | Diffusion | Dynamical systems | Oscillators

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 01/2015, Volume 258, Issue 2, pp. 379 - 398

This paper studies the low Mach number limit of the full compressible Navier–Stokes equations in a three-dimensional bounded domain where the velocity field...

Full Navier–Stokes equations | Polytropic gas | Low Mach number limit | Bounded domain | Slip boundary conditions | Full Navier-Stokes equations | COMPRESSIBLE FLOWS | INCOMPRESSIBLE LIMIT | MATHEMATICS | SINGULAR LIMITS | FOURIER SYSTEM | FLUID | INITIAL DATA | EULER EQUATIONS | Fluid dynamics

Full Navier–Stokes equations | Polytropic gas | Low Mach number limit | Bounded domain | Slip boundary conditions | Full Navier-Stokes equations | COMPRESSIBLE FLOWS | INCOMPRESSIBLE LIMIT | MATHEMATICS | SINGULAR LIMITS | FOURIER SYSTEM | FLUID | INITIAL DATA | EULER EQUATIONS | Fluid dynamics

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 08/2017, Volume 273, Issue 3, pp. 875 - 916

Liouville Field Theory (LFT for short) is a two dimensional model of random surfaces, which is for instance involved in 2 string theory or in the description...

Liouville field theory | Large deviation principle | Gaussian multiplicative chaos | Semiclassical limit | MEHLER KERNEL FORMULAS | CONDITIONAL WIENER INTEGRALS | EQUATIONS | QUANTUM-GRAVITY | MATHEMATICS | CURVATURE | LAPLACE ASYMPTOTIC EXPANSIONS | LARGE DEVIATIONS | GAUSSIAN INTEGRALS | String theory | Analysis | Probability | Mathematics

Liouville field theory | Large deviation principle | Gaussian multiplicative chaos | Semiclassical limit | MEHLER KERNEL FORMULAS | CONDITIONAL WIENER INTEGRALS | EQUATIONS | QUANTUM-GRAVITY | MATHEMATICS | CURVATURE | LAPLACE ASYMPTOTIC EXPANSIONS | LARGE DEVIATIONS | GAUSSIAN INTEGRALS | String theory | Analysis | Probability | Mathematics

Journal Article

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, ISSN 1531-3492, 08/2019, Volume 24, Issue 8, pp. 3653 - 3666

We examine the invariance principle in the stability theory of differential equations, within a general singularly perturbed system. The limit dynamics of such...

invariant measures | Liapunov functions | MATHEMATICS, APPLIED | LaSalle invariance principle | DYNAMIC-SYSTEMS | Singular perturbations | ASYMPTOTIC STABILITY | Young measures

invariant measures | Liapunov functions | MATHEMATICS, APPLIED | LaSalle invariance principle | DYNAMIC-SYSTEMS | Singular perturbations | ASYMPTOTIC STABILITY | Young measures

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2018, Volume 64, Issue 11, pp. 7311 - 7338

In this paper, we propose a general framework for tensor singular value decomposition (tensor singular value decomposition (SVD)), which focuses on the...

signal denoising | Maximum likelihood estimation | Tensile stress | Matrix decomposition | minimax techniques | Computational complexity | Signal to noise ratio | Principal component analysis | Singular value decomposition | tensor SVD | maximum likelihood estimation | DECOMPOSITIONS | SPARSE PCA | PRINCIPAL COMPONENT ANALYSIS | COMPUTER SCIENCE, INFORMATION SYSTEMS | LOW-RANK MATRIX | CLIQUES | ENGINEERING, ELECTRICAL & ELECTRONIC | Lower bounds | Economic models | Minimax technique | Iterative methods

signal denoising | Maximum likelihood estimation | Tensile stress | Matrix decomposition | minimax techniques | Computational complexity | Signal to noise ratio | Principal component analysis | Singular value decomposition | tensor SVD | maximum likelihood estimation | DECOMPOSITIONS | SPARSE PCA | PRINCIPAL COMPONENT ANALYSIS | COMPUTER SCIENCE, INFORMATION SYSTEMS | LOW-RANK MATRIX | CLIQUES | ENGINEERING, ELECTRICAL & ELECTRONIC | Lower bounds | Economic models | Minimax technique | Iterative methods

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2020, Volume 43, Issue 2, pp. 580 - 599

This paper is concerned with a one‐dimensional nonisentropic compressible planar magnetohydrodynamic flow with general initial data, whose behaviors at far...

uniform estimates | nonisentropic magnetohydrodynamics (MHD) | low Mach limit | SINGULAR LIMITS | MATHEMATICS, APPLIED | NUMBER LIMIT | DIFFUSIVE WAVE | SYSTEMS | INCOMPRESSIBLE LIMIT

uniform estimates | nonisentropic magnetohydrodynamics (MHD) | low Mach limit | SINGULAR LIMITS | MATHEMATICS, APPLIED | NUMBER LIMIT | DIFFUSIVE WAVE | SYSTEMS | INCOMPRESSIBLE LIMIT

Journal Article

20.