1.
Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data

Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 06/2016, Volume 26, Issue 6, pp. 1025 - 1049

We disprove a conjecture in Density Functional Theory, relative to multimarginal optimal transport maps with Coulomb cost...

spherically symmetric data | Monge-Kantorovich problem | optimal transport problem | Density Functional Theory | MATHEMATICS, APPLIED | DENSITY-FUNCTIONAL THEORY

spherically symmetric data | Monge-Kantorovich problem | optimal transport problem | Density Functional Theory | MATHEMATICS, APPLIED | DENSITY-FUNCTIONAL THEORY

Journal Article

Fuel (Guildford), ISSN 0016-2361, 2013, Volume 108, pp. 824 - 832

...-A. ► The two HRJ fuels also match Jet-A in terms of flame and sooting dynamics. ► The spherically symmetric droplet flame is useful to benchmark new generation fuels...

Spherically symmetric | Alternative jet fuel | Camelina | Hydroprocessed biofuel | Droplet combustion | FLAMES | COMBUSTION | ENERGY & FUELS | MODEL | MIXTURES | ENGINEERING, CHEMICAL | JP-8 | FUEL | Fuel and fuel systems | Biomass energy | Jet planes | Aerospace engineering | Blends | Aviation | Aircraft fuels | Aeronautics | Domestic | Droplets | Combustion | Fuels

Spherically symmetric | Alternative jet fuel | Camelina | Hydroprocessed biofuel | Droplet combustion | FLAMES | COMBUSTION | ENERGY & FUELS | MODEL | MIXTURES | ENGINEERING, CHEMICAL | JP-8 | FUEL | Fuel and fuel systems | Biomass energy | Jet planes | Aerospace engineering | Blends | Aviation | Aircraft fuels | Aeronautics | Domestic | Droplets | Combustion | Fuels

Journal Article

Electrochimica acta, ISSN 0013-4686, 2017, Volume 258, pp. 544 - 553

Process of bromate reduction from aqueous acidic medium at (hemi)spherical microelectrode under steady-state conditions has been analyzed theoretically. Since...

Comproportionation reaction | Bromine/bromide redox mediation | Absence of convection effects | Spherically symmetrical transport | Autocatalytic cycle | ELECTROCHEMISTRY | BROMIDE REACTION | ANION | LIMITING CURRENTS | SURFACE CATALYTIC MECHANISM | REMOVAL | RADIUS | REDUCTION | KINETICS | ELECTRODE | SQUARE-WAVE VOLTAMMETRY | Mediation | Chemical Sciences

Comproportionation reaction | Bromine/bromide redox mediation | Absence of convection effects | Spherically symmetrical transport | Autocatalytic cycle | ELECTROCHEMISTRY | BROMIDE REACTION | ANION | LIMITING CURRENTS | SURFACE CATALYTIC MECHANISM | REMOVAL | RADIUS | REDUCTION | KINETICS | ELECTRODE | SQUARE-WAVE VOLTAMMETRY | Mediation | Chemical Sciences

Journal Article

Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 07/2017, Volume 196, Issue C, pp. 254 - 269

.... It allows for greater adaptivity than competing methods without sacrificing generality. The method is extensively tested on a spherically symmetric, static, inverse-power-law scattering atmosphere...

Finite element method | Stellar radiative transfer | Spherical Milne's problem | Hyperbolic partial integrodifferential equation | TRANSPORT | RADIANT-HEAT TRANSFER | SPECTROSCOPY | EQUILIBRIUM | OPTICS | SPHERICALLY SYMMETRIC-SYSTEMS | Multiprocessing | Analysis | Methods | Radiation | MATHEMATICS AND COMPUTING | INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Finite element method | Stellar radiative transfer | Spherical Milne's problem | Hyperbolic partial integrodifferential equation | TRANSPORT | RADIANT-HEAT TRANSFER | SPECTROSCOPY | EQUILIBRIUM | OPTICS | SPHERICALLY SYMMETRIC-SYSTEMS | Multiprocessing | Analysis | Methods | Radiation | MATHEMATICS AND COMPUTING | INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 2/2017, Volume 68, Issue 1, pp. 1 - 34

In the paper, we consider the free boundary value problem to 3D spherically symmetric compressible isentropic Navier–Stokes...

Engineering | Spherically symmetric | Mathematical Methods in Physics | Free boundary | 76N15 | Compressible Navier–Stokes–Poisson equations | 35Q35 | Long time behavior | Global existence | Theoretical and Applied Mechanics | Compressible Navier-Stokes-Poisson equations | SYSTEM | MATHEMATICS, APPLIED | GASEOUS STARS | Mathematics - Analysis of PDEs

Engineering | Spherically symmetric | Mathematical Methods in Physics | Free boundary | 76N15 | Compressible Navier–Stokes–Poisson equations | 35Q35 | Long time behavior | Global existence | Theoretical and Applied Mechanics | Compressible Navier-Stokes-Poisson equations | SYSTEM | MATHEMATICS, APPLIED | GASEOUS STARS | Mathematics - Analysis of PDEs

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 07/2013, Volume 88, Issue 2

.... The resulting transport equation is intended for use in simulations involving numerical relativity, particularly in the absence of spherical symmetry...

SPHERICALLY SYMMETRIC FLOWS | CORE-COLLAPSE | RADIATION HYDRODYNAMICS | TRANSPORT | COLLECTIVE NEUTRINO OSCILLATIONS | MECHANISM | ASTRONOMY & ASTROPHYSICS | SIMULATIONS | FORMULATION | SUPERNOVAE | COMOVING-FRAME EQUATION | PHYSICS, PARTICLES & FIELDS

SPHERICALLY SYMMETRIC FLOWS | CORE-COLLAPSE | RADIATION HYDRODYNAMICS | TRANSPORT | COLLECTIVE NEUTRINO OSCILLATIONS | MECHANISM | ASTRONOMY & ASTROPHYSICS | SIMULATIONS | FORMULATION | SUPERNOVAE | COMOVING-FRAME EQUATION | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of fluid mechanics, ISSN 0022-1120, 01/2011, Volume 667, pp. 188 - 215

.... A novel application of multiple-network poroelastic theory (MPET) is proposed to investigate water transport in the cerebral environment...

Papers | biological fluid dynamics | convection in porous media | flow-vessel interactions | COMMUNICATING HYDROCEPHALUS | BLOOD-CSF BARRIER | WHITE-MATTER | 3RD VENTRICULOSTOMY | PHYSICS, FLUIDS & PLASMAS | CEREBROSPINAL-FLUID | SPHERICALLY SYMMETRIC MODEL | NEONATAL HYDROCEPHALUS | MECHANICS | DYNAMIC-BEHAVIOR | DIFFUSION | BRAIN | Fluid mechanics | Body fluids | Brain research | Fluid dynamics | Networks | Capillarity | Fluid flow | Breakdown | Exploration | Transport | Blood

Papers | biological fluid dynamics | convection in porous media | flow-vessel interactions | COMMUNICATING HYDROCEPHALUS | BLOOD-CSF BARRIER | WHITE-MATTER | 3RD VENTRICULOSTOMY | PHYSICS, FLUIDS & PLASMAS | CEREBROSPINAL-FLUID | SPHERICALLY SYMMETRIC MODEL | NEONATAL HYDROCEPHALUS | MECHANICS | DYNAMIC-BEHAVIOR | DIFFUSION | BRAIN | Fluid mechanics | Body fluids | Brain research | Fluid dynamics | Networks | Capillarity | Fluid flow | Breakdown | Exploration | Transport | Blood

Journal Article

Annals of Global Analysis and Geometry, ISSN 0232-704X, 3/2017, Volume 51, Issue 2, pp. 129 - 154

We give a general description of the construction of weighted spherically symmetric metrics on vector bundle manifolds, i.e...

{\mathrm {G}_{2}}$$ G 2 manifold | Theoretical, Mathematical and Computational Physics | 53C55 | Mathematics | Primary 53C07 | 53C25 | 53C29 | Geometry | Metric connection | Vector bundle | Holonomy | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | Secondary 53C22 | Group Theory and Generalizations | Spherically symmetric metric | manifold | G | MATHEMATICS | TANGENT SPHERE BUNDLES | CHEEGER-GROMOLL-TYPE | NONNEGATIVE CURVATURE | EXCEPTIONAL HOLONOMY | G manifold | POSITIVE RICCI CURVATURE | RIEMANNIAN MANIFOLD | Studies | Algebra | Bundling | Mathematical analysis | Norms | Texts | Vectors (mathematics) | Manifolds (mathematics) | Joints | Symmetry | Mathematics - Differential Geometry

{\mathrm {G}_{2}}$$ G 2 manifold | Theoretical, Mathematical and Computational Physics | 53C55 | Mathematics | Primary 53C07 | 53C25 | 53C29 | Geometry | Metric connection | Vector bundle | Holonomy | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | Secondary 53C22 | Group Theory and Generalizations | Spherically symmetric metric | manifold | G | MATHEMATICS | TANGENT SPHERE BUNDLES | CHEEGER-GROMOLL-TYPE | NONNEGATIVE CURVATURE | EXCEPTIONAL HOLONOMY | G manifold | POSITIVE RICCI CURVATURE | RIEMANNIAN MANIFOLD | Studies | Algebra | Bundling | Mathematical analysis | Norms | Texts | Vectors (mathematics) | Manifolds (mathematics) | Joints | Symmetry | Mathematics - Differential Geometry

Journal Article

Monthly Notices of the Royal Astronomical Society, ISSN 0035-8711, 08/2003, Volume 343, Issue 4, pp. 1207 - 1212

ABSTRACT The shear‐free condition is studied for dissipative relativistic self‐gravitating fluids in the quasi‐static approximation. It is shown that, in the...

diffusion | hydrodynamics | stellar dynamics | gravitation | relativity | radiation mechanisms: general | Hydrodynamics | Gravitation | Diffusion | Radiation mechanisms: general | Relativity | Stellar dynamics | LOCAL ANISOTROPY | COSMIC CENSORSHIP | TRANSPORT-PROPERTIES | GENERAL-RELATIVITY | SPHERICALLY SYMMETRICAL COLLAPSE | STELLAR MODELS | DUST COLLAPSE | ASTRONOMY & ASTROPHYSICS | POST-NEWTONIAN GRAVITY | radiation mechanisms : general | ANISOTROPIC FLUID | DENSE MATTER

diffusion | hydrodynamics | stellar dynamics | gravitation | relativity | radiation mechanisms: general | Hydrodynamics | Gravitation | Diffusion | Radiation mechanisms: general | Relativity | Stellar dynamics | LOCAL ANISOTROPY | COSMIC CENSORSHIP | TRANSPORT-PROPERTIES | GENERAL-RELATIVITY | SPHERICALLY SYMMETRICAL COLLAPSE | STELLAR MODELS | DUST COLLAPSE | ASTRONOMY & ASTROPHYSICS | POST-NEWTONIAN GRAVITY | radiation mechanisms : general | ANISOTROPIC FLUID | DENSE MATTER

Journal Article

10.
Full Text
Analytical Solutions for Solute Transport in a Spherically Symmetric Divergent Flow Field

Transport in Porous Media, ISSN 0169-3913, 05/2006, Volume 63, Issue 2, pp. 305 - 321

... by parabolic cylindrical functions. The novel solutions derived here may be applied to predict concentration distributions in space and time for porous media transport in a spherically symmetric flow field or for the special case...

Geotechnical Engineering | Mechanics, Fluids, Thermodynamics | Geosciences | Hydrogeology | spherically symmetric flow | Civil Engineering | analytical solution | Industrial Chemistry/Chemical Engineering | subsurface transport | Spherically symmetric flow | Analytical solution | Subsurface transport | ENGINEERING, CHEMICAL | LAPLACE TRANSFORM SOLUTION | RADIAL DISPERSION | NUMERICAL INVERSION | INJECTION WELL | POROUS-MEDIA | BOUNDARY | Porous media | Hypergeometric functions | Decay rate | Partial differential equations | Mathematical analysis | Exact solutions | Boundary conditions | Laplace transforms | Transport | Wastewater

Geotechnical Engineering | Mechanics, Fluids, Thermodynamics | Geosciences | Hydrogeology | spherically symmetric flow | Civil Engineering | analytical solution | Industrial Chemistry/Chemical Engineering | subsurface transport | Spherically symmetric flow | Analytical solution | Subsurface transport | ENGINEERING, CHEMICAL | LAPLACE TRANSFORM SOLUTION | RADIAL DISPERSION | NUMERICAL INVERSION | INJECTION WELL | POROUS-MEDIA | BOUNDARY | Porous media | Hypergeometric functions | Decay rate | Partial differential equations | Mathematical analysis | Exact solutions | Boundary conditions | Laplace transforms | Transport | Wastewater

Journal Article

Boundary Value Problems, ISSN 1687-2762, 12/2016, Volume 2016, Issue 1, pp. 1 - 20

In this paper, we study the exterior problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficients...

Ordinary Differential Equations | Analysis | 35Q35 | spherically symmetric Navier-Stokes equations | Difference and Functional Equations | Approximations and Expansions | 76D03 | Mathematics, general | exterior problem | Mathematics | density-dependent viscosity | Partial Differential Equations | DERIVATION | EXISTENCE | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | COEFFICIENT | FLOWS | GLOBAL WEAK SOLUTIONS | SHALLOW-WATER MODEL | Viscosity | Boundary value problems | Navier-Stokes equations | Tests, problems and exercises | Compressibility | Mathematical analysis | Exteriors | Regularity | Symmetry

Ordinary Differential Equations | Analysis | 35Q35 | spherically symmetric Navier-Stokes equations | Difference and Functional Equations | Approximations and Expansions | 76D03 | Mathematics, general | exterior problem | Mathematics | density-dependent viscosity | Partial Differential Equations | DERIVATION | EXISTENCE | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | COEFFICIENT | FLOWS | GLOBAL WEAK SOLUTIONS | SHALLOW-WATER MODEL | Viscosity | Boundary value problems | Navier-Stokes equations | Tests, problems and exercises | Compressibility | Mathematical analysis | Exteriors | Regularity | Symmetry

Journal Article

12.
Full Text
A fully dynamic multi-compartmental poroelastic system: Application to aqueductal stenosis

Journal of Biomechanics, ISSN 0021-9290, 2015, Volume 49, Issue 11, pp. 2306 - 2312

Abstract This study proposes the implementation of a fully dynamic four-network poroelastic model which is underpinned by multiple-network poroelastic theory...

Physical Medicine and Rehabilitation | Aqueduct | Stenosis | Multiple-network poroelastic theory | Cerebrospinal fluid | Hydrocephalus | SPHERICALLY SYMMETRIC MODEL | BIOPHYSICS | FLUID | ENGINEERING, BIOMEDICAL | DIFFUSION | Elasticity | Adult | Hydrocephalus - physiopathology | Models, Biological | Humans | Cerebrospinal Fluid Pressure | Mechanical engineering | Biomedical engineering | Conflicts of interest | Boundary conditions | Collaboration | Dynamics | Amalgamation | Skull | Constants | Mathematical models | Dynamical systems | Displacement | Delay

Physical Medicine and Rehabilitation | Aqueduct | Stenosis | Multiple-network poroelastic theory | Cerebrospinal fluid | Hydrocephalus | SPHERICALLY SYMMETRIC MODEL | BIOPHYSICS | FLUID | ENGINEERING, BIOMEDICAL | DIFFUSION | Elasticity | Adult | Hydrocephalus - physiopathology | Models, Biological | Humans | Cerebrospinal Fluid Pressure | Mechanical engineering | Biomedical engineering | Conflicts of interest | Boundary conditions | Collaboration | Dynamics | Amalgamation | Skull | Constants | Mathematical models | Dynamical systems | Displacement | Delay

Journal Article

The journal of high energy physics, ISSN 1029-8479, 2012, Volume 2012, Issue 9, pp. 1 - 44

We consider a general Kaluza-Klein reduction of a truncated Lovelock theory. We find necessary geometric conditions for the reduction to be consistent. The...

Holography and condensed matter physics (AdS/CMT) | Black Holes | Gauge-gravity correspondence | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AdS-CFT correspondence | Black holes | BRANE | FIELD | GAUSS-BONNET THEORY | TERMS | EQUATIONS | SPHERICALLY SYMMETRICAL-SOLUTIONS | GRAVITY | STRING THEORY | COSMOLOGY | DILATON | PHYSICS, PARTICLES & FIELDS | Holography | Thermodynamics | Fluid dynamics | Specific gravity | Analysis | Scale invariance | Singularities | Fermi surfaces | Fluid flow | Hydrodynamics | Order parameters | Entropy | Entanglement | Dilatons | Cosmological constant | Shear viscosity | Reduction | Naked singularities | Tensors | Density ratio | Mathematical analysis | Event horizon | General Relativity and Quantum Cosmology | Astrophysics | High Energy Physics - Theory

Holography and condensed matter physics (AdS/CMT) | Black Holes | Gauge-gravity correspondence | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AdS-CFT correspondence | Black holes | BRANE | FIELD | GAUSS-BONNET THEORY | TERMS | EQUATIONS | SPHERICALLY SYMMETRICAL-SOLUTIONS | GRAVITY | STRING THEORY | COSMOLOGY | DILATON | PHYSICS, PARTICLES & FIELDS | Holography | Thermodynamics | Fluid dynamics | Specific gravity | Analysis | Scale invariance | Singularities | Fermi surfaces | Fluid flow | Hydrodynamics | Order parameters | Entropy | Entanglement | Dilatons | Cosmological constant | Shear viscosity | Reduction | Naked singularities | Tensors | Density ratio | Mathematical analysis | Event horizon | General Relativity and Quantum Cosmology | Astrophysics | High Energy Physics - Theory

Journal Article

2017 International Conference "Quality Management,Transport and Information Security, Information Technologies" (IT&QM&IS), 09/2017, pp. 388 - 390

The one-dimensional problem with a free boundary that describes processes of cooling and freezing biological tissue using cryoprobes with applicator of...

method of iterations | Cooling | free boundary | nodes of the grid | Biological tissues | spherically symmetric hypothermia | Differential equations | Mathematical model | MATLAB | Information technology | difference scheme | Physics | Nodes of the grid | Difference scheme | Free boundary | Spherically symmetric hypothermia | Method of iterations

method of iterations | Cooling | free boundary | nodes of the grid | Biological tissues | spherically symmetric hypothermia | Differential equations | Mathematical model | MATLAB | Information technology | difference scheme | Physics | Nodes of the grid | Difference scheme | Free boundary | Spherically symmetric hypothermia | Method of iterations

Conference Proceeding

Fortschritte der Physik, ISSN 0015-8208, 11/2015, Volume 63, Issue 11-12, pp. 711 - 918

The Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory leads to a model of a modified acceleration that can fit an anomalous acceleration experienced by the...

PERIHELION PRECESSION | RELATIVISTIC CELESTIAL MECHANICS | SPHERICALLY SYMMETRIC SOLUTION | COSMOLOGICAL CONSTANT | PHYSICS, MULTIDISCIPLINARY | DARK-MATTER | TELESCOPE KEY PROJECT | SOLAR-SYSTEM | EQUIVALENCE PRINCIPLE | INVERSE-SQUARE LAW | GRAVITATIONAL CONSTANT | Space vehicles | Space ships | Analysis

PERIHELION PRECESSION | RELATIVISTIC CELESTIAL MECHANICS | SPHERICALLY SYMMETRIC SOLUTION | COSMOLOGICAL CONSTANT | PHYSICS, MULTIDISCIPLINARY | DARK-MATTER | TELESCOPE KEY PROJECT | SOLAR-SYSTEM | EQUIVALENCE PRINCIPLE | INVERSE-SQUARE LAW | GRAVITATIONAL CONSTANT | Space vehicles | Space ships | Analysis

Journal Article

Monthly Notices of the Royal Astronomical Society, ISSN 0035-8711, 2009, Volume 398, Issue 2, pp. 841 - 852

... a central accretor is determined by viscosity, without which there could be no angular momentum transport on outer length‐scales, and, therefore, no infall. Viscosity...

hydrodynamics | black hole physics | accretion, accretion discs | instabilities | Hydrodynamics | Instabilities | Accretion, accretion discs | Black hole physics | ADVECTION-DOMINATED ACCRETION | CIRCULAR HYDRAULIC JUMP | accretion discs | BINARY-SYSTEMS | accretion | PULSATIONAL INSTABILITY | SPHERICALLY SYMMETRIC ACCRETION | RELATIVISTIC ACCRETION | ASTRONOMY & ASTROPHYSICS | RANKINE-HUGONIOT SHOCKS | BLACK-HOLE ACCRETION | TRANSONIC DISK ACCRETION | GALACTIC NUCLEI | Fluid dynamics | Analysis | Fluid mechanics | Astrophysics | Black holes | Accretion disks | 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

hydrodynamics | black hole physics | accretion, accretion discs | instabilities | Hydrodynamics | Instabilities | Accretion, accretion discs | Black hole physics | ADVECTION-DOMINATED ACCRETION | CIRCULAR HYDRAULIC JUMP | accretion discs | BINARY-SYSTEMS | accretion | PULSATIONAL INSTABILITY | SPHERICALLY SYMMETRIC ACCRETION | RELATIVISTIC ACCRETION | ASTRONOMY & ASTROPHYSICS | RANKINE-HUGONIOT SHOCKS | BLACK-HOLE ACCRETION | TRANSONIC DISK ACCRETION | GALACTIC NUCLEI | Fluid dynamics | Analysis | Fluid mechanics | Astrophysics | Black holes | Accretion disks | 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