Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Measurements, Mechanisms, and Models of Heat Transport offers an interdisciplinary approach to the dynamic response of matter to energy input. Using a combination of fundamental principles of physics, recent developments in measuring time-dependent heat conduction, and analytical mathematics, this timely reference summarizes the relative advantages of currently used methods, and remediates flaws in modern models and their historical precursors. Geophysicists, physical chemists, and engineers will find the book to be a valuable resource for its discussions of radiative transfer models and the kinetic theory of gas, amended to account for atomic collisions being inelastic. This book is a prelude to a companion volume on the thermal state, formation, and evolution of planets. Covering both microscopic and mesoscopic phenomena of heat transport, Measurements, Mechanisms, and Models of Heat Transport offers both the fundamental knowledge and up-to-date measurements and models to encourage further improvements.--

Terrestrial heat flow. --- Terrestrial heat transfer --- Burgers equation --- Earth temperature --- Geophysics --- Heat --- Heat budget (Geophysics) --- Heat equation --- Transmission

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The aim of these notes is to include in a uniform presentation style several topics related to the theory of degenerate nonlinear diffusion equations, treated in the mathematical framework of evolution equations with multivalued m-accretive operators in Hilbert spaces. The problems concern nonlinear parabolic equations involving two cases of degeneracy. More precisely, one case is due to the vanishing of the time derivative coefficient and the other is provided by the vanishing of the diffusion coefficient on subsets of positive measure of the domain. From the mathematical point of view the results presented in these notes can be considered as general results in the theory of degenerate nonlinear diffusion equations. However, this work does not seek to present an exhaustive study of degenerate diffusion equations, but rather to emphasize some rigorous and efficient techniques for approaching various problems involving degenerate nonlinear diffusion equations, such as well-posedness, periodic solutions, asymptotic behaviour, discretization schemes, coefficient identification, and to introduce relevant solving methods for each of them.

Burgers equation --- Degenerate differential equations --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Burgers equation. --- Degenerate differential equations. --- Equations of degenerate type --- Diffusion equation, Nonlinear --- Heat flow equation, Nonlinear --- Nonlinear diffusion equation --- Nonlinear heat flow equation --- Mathematics. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Calculus of variations. --- Partial Differential Equations. --- Calculus of Variations and Optimal Control; Optimization. --- Applications of Mathematics. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Engineering --- Engineering analysis --- Mathematical analysis --- Partial differential equations --- Math --- Science --- Differential equations, Partial --- Heat equation --- Navier-Stokes equations --- Turbulence --- Differential equations, partial. --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Operations research --- Simulation methods --- System analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

After a brief review of global tectonics and the structure of the crust and upper mantle, the basic relations of conductive heat transport and the rock thermal properties are introduced as well as the various methods for measuring thermal conductivity and heat generation due to the decay of radioactive elements. The authors analyze geothermal flow and the thermal state of the lithosphere and deep interior and discuss the fundamental problems related to the formation, upwelling mechanisms, solidification and cooling of magmas. The text presents analytical methods that allow us to gain information on heat and groundwater flow from the analyses of temperature–depth data. It also provides ample data and examples to facilitate understanding of the different topics. This book is useful to researchers and graduate students interested in pure and applied geothermics.

Terrestrial heat flow. --- Lithosphere. --- Terrestrial heat transfer --- Earth sciences. --- Renewable energy resources. --- Geophysics. --- Hydrogeology. --- Renewable energy sources. --- Alternate energy sources. --- Green energy industries. --- Earth Sciences. --- Geophysics/Geodesy. --- Geophysics and Environmental Physics. --- Renewable and Green Energy. --- Earth Sciences, general. --- Burgers equation --- Earth temperature --- Geophysics --- Heat --- Heat budget (Geophysics) --- Heat equation --- Transmission --- Physical geography. --- Hydraulic engineering. --- Geography. --- Cosmography --- Earth sciences --- World history --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Alternate energy sources --- Alternative energy sources --- Energy sources, Renewable --- Sustainable energy sources --- Power resources --- Renewable natural resources --- Agriculture and energy --- Geography --- Geosciences --- Environmental sciences --- Physical sciences --- Geohydrology --- Geology --- Hydrology --- Groundwater --- Geological physics --- Terrestrial physics --- Physics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects.

adjoint-symmetry --- one-form --- symmetry --- vector field --- geometrical formulation --- nonlocal conservation laws --- differential coverings --- polynomial and rational invariants --- syzygy --- free resolution --- discretization --- differential invariants --- invariant derivations --- symplectic --- contact spaces --- Euler equations --- shockwaves --- phase transitions --- symmetries --- integrable systems --- Darboux-Bäcklund transformation --- isothermic immersions --- Spin groups --- Clifford algebras --- Euler equation --- quotient equation --- contact symmetry --- optimal investment theory --- linearization --- exact solutions --- Korteweg–de Vries–Burgers equation --- cylindrical and spherical waves --- saw-tooth solutions --- periodic boundary conditions --- head shock wave --- Navier–Stokes equations --- media with inner structures --- plane molecules --- water --- Levi–Civita connections --- Lagrangian curve flows --- KdV type hierarchies --- Darboux transforms --- Sturm–Liouville --- clamped --- hinged boundary condition --- spectral collocation --- Chebfun --- chebop --- eigenpairs --- preconditioning --- drift --- error control

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This monograph aims to provide state-of-the-art theoretical results in a systematic treatment of convective and advective heat transfer during fluid flow in geological systems at the crustal scale. Although some numerical results are provided to complement theoretical ones, the main focus of this monograph is on theoretical aspects of the topic. The theoretical treatment contained in this monograph is also applicable to a wide range of problems of other length-scales such as engineering length-scales. To broaden the readership of this monograph, common mathematical notations are used to derive the theoretical solutions. This enables this monograph to be used either as a useful textbook for postgraduate students or as a valuable reference book for mathematicians, engineers and geoscientists.

Terrestrial heat flow. --- Terrestrial heat flow --- Measurement. --- Earth --- Crust. --- Earth sciences. --- Geophysics. --- Continuum physics. --- Thermodynamics. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Earth Sciences. --- Geophysics/Geodesy. --- Classical Continuum Physics. --- Earth Sciences, general. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Mass transport (Physics) --- Thermodynamics --- Transport theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Heat --- Mechanical engineering --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat-engines --- Quantum theory --- Classical field theory --- Continuum physics --- Continuum mechanics --- Geological physics --- Terrestrial physics --- Earth sciences --- Geosciences --- Environmental sciences --- Physical sciences --- Terrestrial heat transfer --- Burgers equation --- Earth temperature --- Geophysics --- Heat budget (Geophysics) --- Heat equation --- Transmission --- Physical geography. --- Geography. --- Engineering. --- Classical and Continuum Physics. --- Construction --- Industrial arts --- Technology --- Cosmography --- World history --- Geography --- Earth (Planet)