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Quantum Hydrodynamic Equation And Its Mathematical Theory (Hardcover): Boling Guo Quantum Hydrodynamic Equation And Its Mathematical Theory (Hardcover)
Boling Guo
R3,010 Discovery Miles 30 100 Ships in 10 - 15 working days

Quantum hydrodynamics comes from superfluid, superconductivity, semiconductor and so on. Quantum hydrodynamic model describes Helium II superfluid, Bose-Einstein condensation in inert gas, dissipative perturbation of Hamilton-Jacobi system, amplitude and dissipative perturbation of Eikonal quantum wave and so on. Owing to the broad application of quantum hydrodynamic equations, the study of the quantum hydrodynamic equations has aroused the concern of more and more scholars. Based on the above facts, we collected and collated the data of quantum hydrodynamic equations, and studied the concerning mathematical problems.The main contents of this book are: the derivation and mathematical models of quantum hydrodynamic equations, global existence of weak solutions to the compressible quantum hydrodynamic equations, existence of finite energy weak solutions of inviscid quantum hydrodynamic equations, non-isentropic quantum Navier-Stokes equations with cold pressure, boundary problem of compressible quantum Euler-Poisson equations, asymptotic limit to the bipolar quantum hydrodynamic equations.

The Zakharov System and its Soliton Solutions (Hardcover, 1st ed. 2016): Boling Guo, Zaihui Gan, Linghai Kong, Jingjun Zhang The Zakharov System and its Soliton Solutions (Hardcover, 1st ed. 2016)
Boling Guo, Zaihui Gan, Linghai Kong, Jingjun Zhang
R3,511 Discovery Miles 35 110 Ships in 12 - 17 working days

This book focuses on the theory of the Zakharov system in the context of plasma physics. It has been over 40 years since the system was first derived by V. E. Zakharov - and in the course of those decades, many innovative achievements with major impacts on other research fields have been made. The book represents a first attempt to highlight the mathematical theories that are most important to researchers, including the existence and unique problems, blow-up, low regularity, large time behavior and the singular limit. Rather than attempting to examine every aspect of the Zakharov system in detail, it provides an effective road map to help readers access the frontier of studies on this system.

Rogue Waves - Mathematical Theory and Applications in Physics (Hardcover): Boling Guo, Lixin Tian, Zhenya Yan, Liming Ling,... Rogue Waves - Mathematical Theory and Applications in Physics (Hardcover)
Boling Guo, Lixin Tian, Zhenya Yan, Liming Ling, Yufeng Wang; Contributions by …
R4,387 Discovery Miles 43 870 Ships in 12 - 17 working days

This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering. Contents The Research Process for Rogue Waves Construction of Rogue Wave Solution by the Generalized Darboux Transformation Construction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering Method The Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model

Stochastic PDEs and Dynamics (Hardcover): Boling Guo, Hongjun Gao, Xueke Pu Stochastic PDEs and Dynamics (Hardcover)
Boling Guo, Hongjun Gao, Xueke Pu
R3,683 Discovery Miles 36 830 Ships in 12 - 17 working days

This book explains mathematical theories of a collection of stochastic partial differential equations and their dynamical behaviors. Based on probability and stochastic process, the authors discuss stochastic integrals, Ito formula and Ornstein-Uhlenbeck processes, and introduce theoretical framework for random attractors. With rigorous mathematical deduction, the book is an essential reference to mathematicians and physicists in nonlinear science. Contents: Preliminaries The stochastic integral and Ito formula OU processes and SDEs Random attractors Applications Bibliography Index

Attractors and Methods (Hardcover): Boling Guo, Liming Ling, Yansheng Ma, Hui Yang Attractors and Methods (Hardcover)
Boling Guo, Liming Ling, Yansheng Ma, Hui Yang
R4,414 Discovery Miles 44 140 Ships in 12 - 17 working days

This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. Contents Discrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves

Attractors and Inertial Manifolds (Hardcover): Boling Guo, Liming Ling, Yansheng Ma, Hui Yang Attractors and Inertial Manifolds (Hardcover)
Boling Guo, Liming Ling, Yansheng Ma, Hui Yang
R4,418 Discovery Miles 44 180 Ships in 12 - 17 working days

This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the mathematical analysis of attractors and inertial manifolds. This volume deals with the existence of global attractors, inertial manifolds and with the estimation of Hausdorff fractal dimension for some dissipative nonlinear evolution equations in modern physics. Known as well as many new results about the existence, regularity and properties of inertial manifolds and approximate inertial manifolds are also presented in the first volume. The second volume will be devoted to modern analytical tools and methods in infinite-dimensional dynamical systems. Contents Attractor and its dimension estimation Inertial manifold The approximate inertial manifold

Non-Newtonian Fluids - A Dynamical Systems Approach (Hardcover): Boling Guo, Chunxiao Guo, Yaqing Liu, Qiaoxin Li Non-Newtonian Fluids - A Dynamical Systems Approach (Hardcover)
Boling Guo, Chunxiao Guo, Yaqing Liu, Qiaoxin Li; Contributions by China Science Publishing & Media Ltd
R4,407 Discovery Miles 44 070 Ships in 12 - 17 working days

This book provides an up-to-date overview of mathematical theories and research results in non-Newtonian fluid dynamics. Related mathematical models, solutions as well as numerical experiments are discussed. Fundamental theories and practical applications make it a handy reference for researchers and graduate students in mathematics, physics and engineering. Contents Non-Newtonian fluids and their mathematical model Global solutions to the equations of non-Newtonian fluids Global attractors of incompressible non-Newtonian fluids Global attractors of modified Boussinesq approximation Inertial manifolds of incompressible non-Newtonian fluids The regularity of solutions and related problems Global attractors and time-spatial chaos Non-Newtonian generalized fluid and their applications

Solitons (Hardcover): Boling Guo, Xiao-Feng Pang, Yufeng Wang, Nan Liu Solitons (Hardcover)
Boling Guo, Xiao-Feng Pang, Yufeng Wang, Nan Liu
R4,409 Discovery Miles 44 090 Ships in 12 - 17 working days

This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method Backlund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents

Vanishing Viscosity Method - Solutions to Nonlinear Systems (Hardcover): Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu XI Vanishing Viscosity Method - Solutions to Nonlinear Systems (Hardcover)
Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu XI
R5,135 Discovery Miles 51 350 Ships in 12 - 17 working days

The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including original research results, the book demonstrates how to use such methods to solve PDEs and is an essential reference for mathematicians, physicists and engineers working in nonlinear science. Contents: Preface Sobolev Space and Preliminaries The Vanishing Viscosity Method of Some Nonlinear Evolution System The Vanishing Viscosity Method of Quasilinear Hyperbolic System Physical Viscosity and Viscosity of Difference Scheme Convergence of Lax-Friedrichs Scheme, Godunov Scheme and Glimm Scheme Electric-Magnetohydrodynamic Equations References

Fractional Partial Differential Equations And Their Numerical Solutions (Hardcover): Boling Guo, Xueke Pu, Fenghui Huang Fractional Partial Differential Equations And Their Numerical Solutions (Hardcover)
Boling Guo, Xueke Pu, Fenghui Huang
R3,182 Discovery Miles 31 820 Ships in 10 - 15 working days
Infinite-dimensional Dynamical Systems In Atmospheric And Oceanic Science (Hardcover): Boling Guo, Daiwen Huang Infinite-dimensional Dynamical Systems In Atmospheric And Oceanic Science (Hardcover)
Boling Guo, Daiwen Huang
R3,210 Discovery Miles 32 100 Ships in 12 - 17 working days

The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given.

The Zakharov System and its Soliton Solutions (Paperback, Softcover reprint of the original 1st ed. 2016): Boling Guo, Zaihui... The Zakharov System and its Soliton Solutions (Paperback, Softcover reprint of the original 1st ed. 2016)
Boling Guo, Zaihui Gan, Linghai Kong, Jingjun Zhang
R3,747 Discovery Miles 37 470 Ships in 10 - 15 working days

This book focuses on the theory of the Zakharov system in the context of plasma physics. It has been over 40 years since the system was first derived by V. E. Zakharov - and in the course of those decades, many innovative achievements with major impacts on other research fields have been made. The book represents a first attempt to highlight the mathematical theories that are most important to researchers, including the existence and unique problems, blow-up, low regularity, large time behavior and the singular limit. Rather than attempting to examine every aspect of the Zakharov system in detail, it provides an effective road map to help readers access the frontier of studies on this system.

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