Download or read book Functional Approach to Nonlinear Models of Water Flow in Soils written by G. Marinoschi and published by Springer Science & Business Media. This book was released on 2006-09-05 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work of applied mathematics focuses on the functional study of the nonlinear boundary value problems relating to water flow in porous media, a topic which has not up to now been explored in book form. The author shows that abstract theory may be sometimes easier and richer in consequences for applications than standard classical approaches are. The volume deals with diffusion type models, emphasizing the mathematical treatment of their nonlinear aspects.
Download or read book Dual Variational Approach to Nonlinear Diffusion Equations written by Gabriela Marinoschi and published by Springer Nature. This book was released on 2023-03-28 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. The author demonstrates how this method can be utilized as a convenient tool for proving the existence of these solutions when others may fail, such as in cases of evolution equations with nonautonomous operators, with low regular data, or with singular diffusion coefficients. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation. This procedure simplifies the proof of the existence of minimizers and, in particular, the determination of the first-order conditions of optimality. The dual variational formulation is illustrated in the text with specific diffusion equations that have general nonlinearities provided by potentials having various stronger or weaker properties. These equations can represent mathematical models to various real-world physical processes. Inverse problems and optimal control problems are also considered, as this technique is useful in their treatment as well.
Download or read book Degenerate Nonlinear Diffusion Equations written by Angelo Favini and published by Springer. This book was released on 2012-05-08 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Applied Analysis And Differential Equations written by Ovidiu Carja and published by World Scientific. This book was released on 2007-03-27 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed research articles written by experts in the field of applied analysis, differential equations and related topics. Well-known leading mathematicians worldwide and prominent young scientists cover a diverse range of topics, including the most exciting recent developments.A broad range of topics of recent interest are treated: existence, uniqueness, viability, asymptotic stability, viscosity solutions, controllability and numerical analysis for ODE, PDE and stochastic equations. The scope of the book is wide, ranging from pure mathematics to various applied fields such as classical mechanics, biomedicine, and population dynamics.
Download or read book Modeling with It Stochastic Differential Equations written by E. Allen and published by Springer Science & Business Media. This book was released on 2007-03-08 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains a procedure for constructing realistic stochastic differential equation models for randomly varying systems in biology, chemistry, physics, engineering, and finance. Introductory chapters present the fundamental concepts of random variables, stochastic processes, stochastic integration, and stochastic differential equations. These concepts are explained in a Hilbert space setting which unifies and simplifies the presentation.
Download or read book Modelling Water Flow in Unsaturated Porous Media written by Adam Szymkiewicz and published by Springer Science & Business Media. This book was released on 2012-10-11 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on two issues related to mathematical and numerical modelling of flow in unsaturated porous media. In the first part numerical solution of the governing equations is discussed, with particular emphasis on the spatial discretization of highly nonlinear permeability coefficient. The second part deals with large scale flow in heterogeneous porous media of binary structure. Upscaled models are developed and it is shown that the presence of material heterogeneities may give rise to additional non-equilibrium terms in the governing equations or to hysteresis in the averaged constitutive relationships.
Download or read book Stochastic Equations in Infinite Dimensions written by Giuseppe Da Prato and published by Cambridge University Press. This book was released on 2014-04-17 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updates in this second edition include two brand new chapters and an even more comprehensive bibliography.
Download or read book Nonlinear Differential Equations of Monotone Types in Banach Spaces written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 2010-01-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopedia of Agrophysics written by Jan Gliński and published by Springer Science & Business Media. This book was released on 2011-06-07 with total page 1075 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Encyclopedia of Agrophysics will provide up-to-date information on the physical properties and processes affecting the quality of the environment and plant production. It will be a "first-up" volume which will nicely complement the recently published Encyclopedia of Soil Science, (November 2007) which was published in the same series. In a single authoritative volume a collection of about 250 informative articles and ca 400 glossary terms covering all aspects of agrophysics will be presented. The authors will be renowned specialists in various aspects in agrophysics from a wide variety of countries. Agrophysics is important both for research and practical use not only in agriculture, but also in areas like environmental science, land reclamation, food processing etc. Agrophysics is a relatively new interdisciplinary field closely related to Agrochemistry, Agrobiology, Agroclimatology and Agroecology. Nowadays it has been fully accepted as an agricultural and environmental discipline. As such this Encyclopedia volume will be an indispensable working tool for scientists and practitioners from different disciplines, like agriculture, soil science, geosciences, environmental science, geography, and engineering.
Download or read book Modeling of Unsaturated Water Flow in Highly Heterogeneous Soils written by Adam Szymkiewicz and published by . This book was released on 2004 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis concerns the unsaturated water flow in soils of two distinct sub-domains with contrasting hydraulic parameters (double-porosity soils). The analysis start at the Darcy scale, where the flow in each sub-domain is described by the Richards equation. The asymptotic homogenization method is used to derive macroscopic models for two types of soil structure, i.e with weakly conductive and highly conductive inclusions. In each case one obtains a one-equation nonlinear model arises. The effective conductivity of the medium is calculated from the local boundary value problem and it is independent of the conductivity of the inclusions. For the soil with weakly conductive inclusions the macroscopic model has non-equilibrium character and contains an integral term, which represents the exchange of water between the two sub-domains. The obtained models are compared to other approaches existing in literature. The models are implemented into a numerical code DPOR-1D. It enables the simulation of macroscopically 1D flow in soils with various geometrics of 2D and 3D inclusions (circle, rectangle, sphere, parallelepiped). The results obtained with DPOR-1D code are close to the fine scale numerical solution, where the heterogeneous structure of the medium is explicity represented. The DPOR-1D simulations are also in good agreement with the results of 1D infiltration experiments in a 60-cm long vertical column filed with a mixture of sand and sintered clayey spheres.
Download or read book Modeling Methods and Practices in Soil and Water Engineering written by Balram Panigrahi and published by CRC Press. This book was released on 2017-03-16 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the development of useful models and their applications in soil and water engineering. It covers various modeling methods, including groundwater recharge estimation, rainfall-runoff modeling using artificial neural networks, development and application of a water balance model and a HYDRUS-2D model for cropped fields, a multi-model approach for stream flow simulation, multi-criteria analysis for construction of groundwater structures in hard rock terrains, hydrologic modeling of watersheds using remote sensing, and GIS and AGNPS.
Download or read book Mathematical Reports written by and published by . This book was released on 2008 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Optimization in Engineering and Sciences written by Debashis Dutta and published by Springer Nature. This book was released on 2020-04-07 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents select peer-reviewed papers presented at the International Conference on Numerical Optimization in Engineering and Sciences (NOIEAS) 2019. The book covers a wide variety of numerical optimization techniques across all major engineering disciplines like mechanical, manufacturing, civil, electrical, chemical, computer, and electronics engineering. The major focus is on innovative ideas, current methods and latest results involving advanced optimization techniques. The contents provide a good balance between numerical models and analytical results obtained for different engineering problems and challenges. This book will be useful for students, researchers, and professionals interested in engineering optimization techniques.
Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1991 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rivista di matematica della Universit di Parma written by and published by . This book was released on 2006 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Sixteenth Biennial Conference on Ground Water written by and published by . This book was released on 1988 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
