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Books on the topic 'Hydrodynamical limits'

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Published: 20 April 2024

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1

De Masi, Anna, and Errico Presutti. Mathematical Methods for Hydrodynamic Limits. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086457.

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2

Masi, Anna De. Mathematical methods for hydrodynamic limits. Berlin: Springer-Verlag, 1991.

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3

Saint-Raymond, Laure. Hydrodynamic Limits of the Boltzmann Equation. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-92847-8.

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4

Hydrodynamic limits of the Boltzmann equation. Berlin: Springer, 2009.

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5

Tadahisa, Funaki, and Woyczyński W. A. 1943-, eds. Nonlinear stochastic PDE's: Hydrodynamic limit and Burgers' turbulence. New York: Springer, 1996.

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6

Kipnis, Claude. Scaling limits of interacting particle systems. New York: Springer, 1999.

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7

Denny, Mark W. Hydrodynamics, shell shape, behavior and survivorship in the owl limpet 'Lottia gigantea'. Cambridge: Cambridge University Press, 2000.

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8

DeMasi, Anna, and Errico Presutti. Mathematical Methods for Hydrodynamic Limits. Springer London, Limited, 2006.

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9

(Editor), Shui Feng, Anna T. Lawniczak (Editor), and S. R. S. Varadhan (Editor), eds. Hydrodynamic Limits and Related Topics (Fields Institute Communications). American Mathematical Society, 2000.

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10

Woyczynski, Wojbor, and Tadahisa Funaki. Nonlinear Stochastic PDEs: Hydrodynamic Limit and Burgers' Turbulence. Springer London, Limited, 2012.

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11

Woyczynski, Wojbor, and Tadahisa Funaki. Nonlinear Stochastic PDEs: Hydrodynamic Limit and Burgers' Turbulence. Springer, 2011.

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12

Morawetz, Klaus. Nonequilibrium Quantum Hydrodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0015.

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The balance equations resulting from the nonlocal kinetic equation are derived. They show besides the Landau-like quasiparticle contributions explicit two-particle correlated parts which can be interpreted as molecular contributions. It looks like as if two particles form a short-living molecule. All observables like density, momentum and energy are found as a conserving system of balance equations where the correlated parts are in agreement with the forms obtained when calculating the reduced density matrix with the extended quasiparticle functional. Therefore the nonlocal kinetic equation for the quasiparticle distribution forms a consistent theory. The entropy is shown to consist also of a quasiparticle part and a correlated part. The explicit entropy gain is proved to complete the H-theorem even for nonlocal collision events. The limit of Landau theory is explored when neglecting the delay time. The rearrangement energy is found to mediate between the spectral quasiparticle energy and the Landau variational quasiparticle energy.

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13

Kipnis, Claude, and Claudio Landim. Scaling Limits of Interacting Particle Systems. Springer London, Limited, 2013.

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14

Savu, Anamaria. Hydrodynamic scaling limit of the contiuum solid-on-solid model. 2004, 2004.

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15

Savu, Anamaria. Hydrodynamic scaling limit of the continuum solid-on-solid model. 2004.

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16

Primitive Benchmark : A Short Treatise on a General Theory of Sailing with the Limits for Sailboat Speed. Windward Enterprises, 1999.

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17

Succi, Sauro. From Kinetic Theory to Navier–Stokes Hydrodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0005.

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This Chapter illustrates the derivation of the macroscopic fluid equations, starting from Boltzmann’s kinetic theory. Two routes are presented, the heuristic derivation based on the enslaving of fast modes to slow ones, and the Hilbert–Chapman–Enskog procedure, based on low-Knudsen number asymptotic expansions. The former is handier but mathematically less rigorous than the latter. Either ways, the assumption of weak departure from local equilibrium proves crucial in recovering hydrodynamics as a large-scale limit of kinetic theory.

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18

Scaling Limits of Interacting Particle Systems Grundlehren Der Mathematischen Wissenschaften Springer. Springer, 2010.

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19

(Editor), Tadahisa Funaki, and Wojbor Woyczynski (Editor), eds. Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence (The IMA Volumes in Mathematics and its Applications). Springer, 1995.

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20

Horing, Norman J. Morgenstern. Random Phase Approximation Plasma Phenomenology, Semiclassical and Hydrodynamic Models; Electrodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0010.

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Chapter 10 reviews both homogeneous and inhomogeneous quantum plasma dielectric response phenomenology starting with the RPA polarizability ring diagram in terms of thermal Green’s functions, also energy eigenfunctions. The homogeneous dynamic, non-local inverse dielectric screening functions (K) are exhibited for 3D, 2D, and 1D, encompassing the non-local plasmon spectra and static shielding (e.g. Friedel oscillations and Debye-Thomas-Fermi shielding). The role of a quantizing magnetic field in K is reviewed. Analytically simpler models are described: the semiclassical and classical limits and the hydrodynamic model, including surface plasmons. Exchange and correlation energies are discussed. The van der Waals interaction of two neutral polarizable systems (e.g. physisorption) is described by their individual two-particle Green’s functions: It devolves upon the role of the dynamic, non-local plasma image potential due to screening. The inverse dielectric screening function K also plays a central role in energy loss spectroscopy. Chapter 10 introduces electromagnetic dyadic Green’s functions and the inverse dielectric tensor; also the RPA dynamic, non-local conductivity tensor with application to a planar quantum well. Kramers–Krönig relations are discussed. Determination of electromagnetic response of a compound nanostructure system having several nanostructured parts is discussed, with applications to a quantum well in bulk plasma and also to a superlattice, resulting in coupled plasmon spectra and polaritons.

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21

Yonk, Ryan M., Jordan Lofthouse, and Megan Hansen. The Reality of American Energy. Praeger, 2017. http://dx.doi.org/10.5040/9798216005704.

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This book dispels common myths about electricity and electricity policy and reveals how government policies manipulate energy markets, create hidden costs, and may inflict a net harm on the American people and the environment. Climate change, energy generation and use, and environmental degradation are among the most salient—and controversial—political issues today. Our country's energy future will be determined by the policymakers who enact laws that favor certain kinds of energy production while discouraging others as much as by the energy-production companies or the scientists working to reduce the environmental impact of all energy production. The Reality of American Energy: The Hidden Costs of Electricity provides rare insights into the politics and economics surrounding electricity in the United States. It identifies the economic, physical, and environmental implications of distorting energy markets to limit the use of fossil fuels while increasing renewable energy production and explains how these unseen effects of favoring renewable energy may be counterproductive to the economic interests of American citizens and to the protection of the environment. The first two chapters of the book introduce the subject of electricity policy in the United States and to enable readers to understand why policymakers do what they do. The remainder of the book examines the realities of the major electricity sources in the United States: coal, natural gas, nuclear, hydrodynamic, wind, biomass, solar, and geothermal. Each of these types of energy sources is analyzed in a dedicated chapter that explains how the electricity source works and identifies how politics and public policy shape the economic and environmental impacts associated with them.

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