Nonlinear Reaction Diffusion Processes For Nanocomposites

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Nonlinear Reaction Diffusion Processes For Nanocomposites

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Author : Jesús Ildefonso Díaz
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-06-21

Nonlinear Reaction Diffusion Processes For Nanocomposites written by Jesús Ildefonso Díaz and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-21 with Mathematics categories.

The behavior of materials at the nanoscale is a key aspect of modern nanoscience and nanotechnology. This book presents rigorous mathematical techniques showing that some very useful phenomenological properties which can be observed at the nanoscale in many nonlinear reaction-diffusion processes can be simulated and justified mathematically by means of homogenization processes when a certain critical scale is used in the corresponding framework.

Nonlinear Functional Analysis And Applications

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Author : Jesús Garcia-Falset
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-03-06

Nonlinear Functional Analysis And Applications written by Jesús Garcia-Falset and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-06 with Mathematics categories.

Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc. This work is devoted, in a self-contained way, to several subjects of this topic such as theory of accretive operators in Banach spaces, theory of abstract Cauchy problem, metric and topological fixed point theory. Special emphasis is given to the study how these theories can be used to obtain existence and uniqueness of solutions for several types of evolution and stationary equations. In particular, equations arising in dynamical population and neutron transport equations are discussed.

Cross Diffusion Systems

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Author : Dung Le
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-10-24

Cross Diffusion Systems written by Dung Le and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-24 with Mathematics categories.

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.

Partial Dynamic Equations

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Author : Svetlin G. Georgiev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-03-03

Partial Dynamic Equations written by Svetlin G. Georgiev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-03 with Mathematics categories.

This book is devoted to the qualitative theory of partial dynamic equations on arbitrary time scales. The results in the book generalize the classical results, and they unify the discrete and continuous cases. The book starts with classification and canonical forms for second-order PDEs. Next, the Laplace transform method and the Fourier transform method are introduced. The Fourier transform is applied to solving second-order PDEs. The method of separation of variables is considered later in the book. The following few chapters are devoted to factoring second-order PDEs, including the wave equation, the heat equation, and the Laplace equation. It proves the weak maximum principle and as its application is investigated the stability of the solutions of the Poisson equation. Finally, the reduction of some nonlinear PDEs to the wave equation, the heat equation, and the Laplace equation are discussed. Тhe main advantage of the book is that it offers a variety of analytical techniques for the study of partial dynamical equations and that the results obtained over arbitrary time scales can be used to derive results in the classical case and in the discrete case.

Lie Group Analysis Of Differential Equations

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Author : Ranis Ibragimov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-03-04

Lie Group Analysis Of Differential Equations written by Ranis Ibragimov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-04 with Mathematics categories.

The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves. This volume represents a unique blend of analytical and numerical methods complemented by the author's developments in ocean and atmospheric sciences and it is meant for researchers and graduate students interested in applied mathematics and mathematical modeling.

Space Time Algebra Of Sedeons

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Author : Victor L. Mironov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-03-31

Space Time Algebra Of Sedeons written by Victor L. Mironov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-31 with Mathematics categories.

This book is a comprehensive guide to the space-time algebra of sixteen-component values "sedeons". This algebra is designed to provide a compact representation of equations that describe various physical systems. The book considers the symmetry of physical quantities concerning the operations of spatial and temporal inversion. This approach allows the formulation of a wide class of mathematical physics equations within a unified framework and enables the generalization of these equations for essential problems in electrodynamics, hydrodynamics, plasma physics, field theory, and quantum mechanics. In particular, it is shown that the broken symmetry between electricity and magnetism in electrodynamics equations is a result of choosing an asymmetric representation of these phenomena. The sedeonic algebra enables the formulation of Maxwell-like equations for the fields with a nonzero mass of quantum, which facilitates the calculation of energy for baryon-baryon interaction and the semi-classical interpretation of this interaction. It also allows one to generalize the hydrodynamics equations for the case of vortex turbulent flows and for a hydrodynamic two-fluid model of electron-ion plasma.

Shape Optimization

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Author : Catherine Bandle
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-06-19

Shape Optimization written by Catherine Bandle and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-19 with Mathematics categories.

This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is exampledriven and illustrates the usefulness of domain variations in various applications.

Nonautonomous Fractional Evolution Equations

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Author : Yong Zhou
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-01

Nonautonomous Fractional Evolution Equations written by Yong Zhou and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.

Fractional evolution equations describe various complex and nonlocal systems with memory. This volume investigates fractional evolution equations, in infinite intervals. The book covers a range of topics, including the existence, uniqueness, attractivity, and applications to fractional diffusion equations and fractional Schrodinger equations. Researchers and graduate students in pure and applied mathematics will find this a useful reference.

Functional Polymer Nanocomposites For Wastewater Treatment

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Author : Mpitloane Joseph Hato
language : en
Publisher: Springer Nature
Release Date : 2022-03-01

Functional Polymer Nanocomposites For Wastewater Treatment written by Mpitloane Joseph Hato and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-01 with Technology & Engineering categories.

This book provides an overview of the latest advances in applications of nanocomposites in wastewater treatment. This book is dedicated to recent developments in the application of polymer nanocomposites to wastewater treatment. Based on their morphology and tailored compositions, polymer nanocomposites provide powerful tools for environmental remediation via selective adsorption of contaminants in complex environmental matrices. The book reviews recent progress in this field, covering various nanocomposite fabrication routes and novel applications for pollutant sensing and detection. It includes discussion of different types of nanocomposites based on metal–organic frameworks and hydrogels, while also covering related topics such as nanocomposite membranes, photocatalysts, and bio-nanocomposites for pollution abatement. Ideal for researchers and engineers in the field, this collection of contributed chapters offers a timely review of current research in nanomaterials for cost-effective pollution control technologies.

3d And 4d Printing Of Polymer Nanocomposite Materials

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Author : Kishor Kumar Sadasivuni
language : en
Publisher: Elsevier
Release Date : 2019-10-11

3d And 4d Printing Of Polymer Nanocomposite Materials written by Kishor Kumar Sadasivuni and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-11 with Technology & Engineering categories.

3D and 4D Printing of Polymer Nanocomposite Materials: Processing, Applications, and Challenges covers advanced 3D and 4D printing processes and the latest developments in novel polymer-based printing materials, thus enabling the reader to understand and benefit from the advantages of this groundbreaking technology. The book presents processes, materials selection, and printability issues, along with sections on the preparation of polymer composite materials for 3D and 4D printing. Across the book, advanced printing techniques are covered and discussed thoroughly, including fused deposition modeling (FDM), selective laser sintering (SLS), selective laser melting (SLM), electron beam melting (EBM), inkjet 3D printing (3DP), stereolithography (SLA), and 3D plotting. Finally, major applications areas are discussed, including electronic, aerospace, construction and biomedical applications, with detailed information on the design, fabrication and processing methods required in each case. - Provides a thorough, clear understanding of polymer preparation techniques and 3D and 4D printing processes, with a view to specific applications - Examines synthesis, formation methodology, the dispersion of fillers, characterization, properties, and performance of polymer nanocomposites - Explores the possibilities of 4D printing, covering the usage of stimuli responsive hydrogels and shape memory polymers