Global Well Posedness Of Nonlinear Parabolic Hyperbolic Coupled Systems
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Global Well Posedness Of Nonlinear Parabolic Hyperbolic Coupled Systems
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Author : Yuming Qin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-28
Global Well Posedness Of Nonlinear Parabolic Hyperbolic Coupled Systems written by Yuming Qin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-28 with Mathematics categories.
This book presents recent results on nonlinear parabolic-hyperbolic coupled systems such as the compressible Navier-Stokes equations, and liquid crystal system. It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material. All models under consideration are built on compressible equations and liquid crystal systems. This type of partial differential equations arises not only in many fields of mathematics, but also in other branches of science such as physics, fluid dynamics and material science.
Nonlinear Parabolic Equations And Hyperbolic Parabolic Coupled Systems
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Author : Songmu Zheng
language : en
Publisher: CRC Press
Release Date : 2020-05-05
Nonlinear Parabolic Equations And Hyperbolic Parabolic Coupled Systems written by Songmu Zheng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-05 with Mathematics categories.
This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based on recent research carried out by the author and his collaborators. The book can be divided into two parts. In the first part, the results on decay of solutions to nonlinear parabolic equations and hyperbolic parabolic coupled systems are obtained, and a chapter is devoted to the global existence of small smooth solutions to fully nonlinear parabolic equations and quasilinear hyperbolic parabolic coupled systems. Applications of the results to nonlinear thermoelasticity and fluid dynamics are also shown. Some nonlinear parabolic equations and coupled systems arising from the study of phase transitions are investigated in the second part of the book. The global existence, uniqueness and asymptotic behaviour of smooth solutions with arbitrary initial data are obtained. The final chapter is further devoted to related topics: multiplicity of equilibria and the existence of a global attractor, inertial manifold and inertial set. A knowledge of partial differential equations and Sobolev spaces is assumed. As an aid to the reader, the related concepts and results are collected and the relevant references given in the first chapter. The work will be of interest to researchers and graduate students in pure and applied mathematics, mathematical physics and applied sciences.
Nonlinear Parabolic Hyperbolic Coupled Systems And Their Attractors
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Author : Yuming Qin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-25
Nonlinear Parabolic Hyperbolic Coupled Systems And Their Attractors written by Yuming Qin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-25 with Mathematics categories.
This book presents recent results concerning the global existence in time, the large-time behavior, decays of solutions and the existence of global attractors for nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations.
Global Well Posedness And Asymptotic Behavior Of The Solutions To Non Classical Thermo Visco Elastic Models
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Author : Yuming Qin
language : en
Publisher: Springer
Release Date : 2016-07-29
Global Well Posedness And Asymptotic Behavior Of The Solutions To Non Classical Thermo Visco Elastic Models written by Yuming Qin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-29 with Mathematics categories.
This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history. Part of the book is based on the research conducted by the authors and their collaborators in recent years. The book will benefit interested beginners in the field and experts alike.
Computational And Mathematical Models In Biology
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Author : Carla M.A. Pinto
language : en
Publisher: Springer Nature
Release Date : 2024-01-09
Computational And Mathematical Models In Biology written by Carla M.A. Pinto and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-09 with Mathematics categories.
This book provides the most valuable and updated research on computational and mathematical models in biological systems from influential researchers around the world and contributes to the development of future research guidelines in this topic. Topics include (but are not limited to): modeling infectious and dynamic diseases; regulation of cell function; biological pattern formation; biological networks; tumor growth and angiogenesis; complex biological systems; Monte Carlo methods; Control theory, optimization and their applications
Global Existence And Uniqueness Of Nonlinear Evolutionary Fluid Equations
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Author : Yuming Qin
language : en
Publisher: Birkhäuser
Release Date : 2015-02-11
Global Existence And Uniqueness Of Nonlinear Evolutionary Fluid Equations written by Yuming Qin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-11 with Science categories.
This book presents recent results on nonlinear evolutionary fluid equations such as the compressible (radiative) magnetohydrodynamics (MHD) equations, compressible viscous micropolar fluid equations, the full non-Newtonian fluid equations and non-autonomous compressible Navier-Stokes equations. These types of partial differential equations arise in many fields of mathematics, but also in other branches of science such as physics and fluid dynamics. This book will be a valuable resource for graduate students and researchers interested in partial differential equations, and will also benefit practitioners in physics and engineering.
Integral And Discrete Inequalities And Their Applications
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Author : Yuming Qin
language : en
Publisher: Birkhäuser
Release Date : 2016-10-06
Integral And Discrete Inequalities And Their Applications written by Yuming Qin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-06 with Mathematics categories.
This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations. The present volume is part 2 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.
Nonlinear Parabolic Equations And Hyperbolic Parab Olic Coupled Systems Pitman Monographs 76
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Author : Songmu Zheng
language : en
Publisher: Longman Sc & Tech
Release Date : 1995-04-01
Nonlinear Parabolic Equations And Hyperbolic Parab Olic Coupled Systems Pitman Monographs 76 written by Songmu Zheng and has been published by Longman Sc & Tech this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-01 with Mathematics categories.
Handbook Of Differential Equations Evolutionary Equations
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Author : C.M. Dafermos
language : en
Publisher: Elsevier
Release Date : 2009-04-29
Handbook Of Differential Equations Evolutionary Equations written by C.M. Dafermos and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-29 with Mathematics categories.
Handbook of Differential Equations: Evolutionary Equations is the last text of a five-volume reference in mathematics and methodology. This volume follows the format set by the preceding volumes, presenting numerous contributions that reflect the nature of the area of evolutionary partial differential equations. The book is comprised of five chapters that feature the following: A thorough discussion of the shallow-equations theory, which is used as a model for water waves in rivers, lakes and oceans. It covers the issues of modeling, analysis and applications • Evaluation of the singular limits of reaction-diffusion systems, where the reaction is fast compared to the other processes; and applications that range from the theory of the evolution of certain biological processes to the phenomena of Turing and cross-diffusion instability Detailed discussion of numerous problems arising from nonlinear optics, at the high-frequency and high-intensity regime • Geometric and diffractive optics, including wave interactions Presentation of the issues of existence, blow-up and asymptotic stability of solutions, from the equations of solutions to the equations of linear and non-linear thermoelasticity Answers to questions about unique space, such as continuation and backward uniqueness for linear second-order parabolic equations. Research mathematicians, mathematics lecturers and instructors, and academic students will find this book invaluable Review of new results in the area Continuation of previous volumes in the handbook series covering evolutionary PDEs New content coverage of DE applications
Proceedings Of The Seventh International Colloquium On Differential Equations
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Author : D. Bainov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Proceedings Of The Seventh International Colloquium On Differential Equations written by D. Bainov 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 2020-05-18 with Mathematics categories.
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