Choose an application

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

Scalar field theory. --- Wave theory of light.

Choose an application

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

This monograph discusses cosmological inflation and provides exact and slow roll solutions. It also reviews new and advanced approaches of exact solutions construction with canonical scalar fields, including application of generating functions methods, the superpotential and many others. This book presents the reduction of the Friedmann equation to the Abel equation, which is a very useful tool in cosmology. It offers new solutions and discusses its properties.Additionally, it touches upon the role of phantom scalar field cosmology and analyzes phantonical models. It describes brane cosmology with scalar fields, providing exact solutions construction using the superpotential method as well as Darboux transformations.This book provides detailed calculations throughout.

Scalar field theory. --- Cosmology. --- General relativity (Physics) --- Relativistic astrophysics. --- Relativité générale (physique) --- Astrophysique relativiste.

Choose an application

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

This set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is an introduction to intrinsic scaling, a powerful method in the analysis of degenerate and singular PDEs. In the first part, the theory is presented from scratch for the model case of the degenerate p-Laplace equation. This approach brings to light what is really essential in the method, leaving aside technical refinements needed to deal with more general equations, and is entirely self-contained. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions. The aim is to convince the reader of the strength of the method as a systematic approach to regularity for this important class of equations.

Differential equations, Partial. --- Scalar field theory. --- Equations aux dérivées partielles --- Champs scalaires --- Scalar field theory --- Differential equations, Partial --- Calculus --- Operations Research --- Mathematics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Partial differential equations --- Scalar fields --- Scalars (Mathematics) --- Mathematics. --- Partial differential equations. --- Partial Differential Equations. --- Math --- Science --- Calculus of tensors --- Mathematical physics --- Differential equations, partial.

Choose an application

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

The scalar strong interaction Hadron theory, SSI, is a first principles' and nonlocal theory at quantum mechanical level that provides an alternative to low energy QCD and Higgs related part of the standard model. The quark-quark interaction is scalar rather than color-vectorial. A set of equations of motion for mesons and another set for baryons have been constructed. This book provides an account of the present state of a theory supposedly still at its early stage of development. This work will facilitate researchers interested in entering into this field.

Hadron interactions. --- Hadrons --- Wave equation. --- Scalar field theory. --- Scalar fields --- Scalars (Mathematics) --- Calculus of tensors --- Mathematical physics --- Differential equations, Partial --- Wave-motion, Theory of --- Collisions, Hadron --- Hadron collisions --- Interactions, Hadron --- Nuclear reactions --- Decay.

Choose an application

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

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry, and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings ,and non-gradient type monotonicity on Riemannian manifolds. Scalar and Asymptotic Derivatives: Theory and Applications also presents the material in relation to Euclidean spaces, Hilbert spaces, Banach spaces, Riemannian manifolds, and Hadamard manifolds. This book is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry, and applied mathematics. In addition, it fills a gap in the literature as the first book to appear on the subject.

Mathematics. --- Numerical analysis. --- Scalar field theory. --- Numerical analysis --- Scalar field theory --- Applied Mathematics --- Engineering & Applied Sciences --- Scalar fields --- Scalars (Mathematics) --- Functional analysis. --- Differential geometry. --- Mathematical optimization. --- Functional Analysis. --- Optimization. --- Differential Geometry. --- Calculus of tensors --- Mathematical physics --- Mathematical analysis --- Global differential geometry. --- Geometry, Differential --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Differential geometry