Zhijie Chen's Books

Solutions of Nonlinear Schrӧdinger Systems

By: Zhijie Chen

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Solutions of Nonlinear Schrӧdinger Systems

By: Zhijie Chen

The existence and qualitative properties of nontrivial solutions for some important nonlinear Schrӧdinger systems have been studied in this thesis. For a well-known system arising from nonlinear optics and Bose-Einstein condensates (BEC), in the subcritical case, qualitative properties of ground state solutions, including an optimal parameter range for the existence, the uniqueness and asymptotic behaviors, have been investigated and the results could firstly partially answer open questions raised by Ambrosetti, Colorado and Sirakov. In the critical case, a systematical research on ground state solutions, including the existence, the nonexistence, the uniqueness and the phase separation phenomena of the limit profile has been presented, which seems to be the first contribution for BEC in the critical case. Furthermore, some quite different phenomena were also studied in a more general critical system. For the classical Brezis-Nirenberg critical exponent problem, the sharp energy estimate of least energy solutions in a ball has been investigated in this study. Finally, for Ambrosetti type linearly coupled Schrӧdinger equations with critical exponent, an optimal result on the existence and nonexistence of ground state solutions for different coupling constants was also obtained in this thesis. These results have many applications in Physics and PDEs.

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Page Count

191

Publisher

Springer

Published Date

ISBN 10

3662454785

ISBN 13

9783662454787

Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

By: Tatsien Li,Yongji Tan,Zhijie Cai,Wei Chen,Jingnong Wang

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Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

By: Tatsien Li,Yongji Tan,Zhijie Cai,Wei Chen,Jingnong Wang

Spontaneous potential (SP) well-logging is one of the most common and useful well-logging techniques in petroleum exploitation. This monograph is the first of its kind on the mathematical model of spontaneous potential well-logging and its numerical solutions. The mathematical model established in this book shows the necessity of introducing Sobolev spaces with fractional power, which seriously increases the difficulty of proving the well-posedness and proposing numerical solution schemes. In this book, in the axisymmetric situation the well-posedness of the corresponding mathematical model is proved and three efficient schemes of numerical solution are proposed, supported by a number of numerical examples to meet practical computation needs.

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Springer Science & Business Media

Published Date

ISBN 10

3642414257

ISBN 13

9783642414251

Middle-Income Trap

An Analysis Based on Economic Transformations and Social Governance

By: Zhijie Zheng

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Middle-Income Trap

An Analysis Based on Economic Transformations and Social Governance

By: Zhijie Zheng

This book explores the essence of the middle-income trap based on two major perspectives, namely “economic transformation” and “social transformation”. China has experienced high-speed economic growth for nearly 40 years since the adoption of the Reform and Opening policies. However, China’s economic growth has been slowing down significantly in recent years. Has China tumbled into the middle-income trap? This book reveals the essence of the middle-income trap is that a country's economic growth is facing a "double squeeze" in the middle-income stage, while the social structure and system are unsuitable for the new social development stage, which leads to economic stagnation or recession, and the aggravation of social contradictions, that is, the double predicament of economic transformation and social transformation. This judgment is of great value for understanding the problems encountered in the current development of China.

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Page Count

680

Publisher

Springer Nature

Published Date

ISBN 10

9811574014

ISBN 13

9789811574016

Thermal Springs and Geothermal Energy in the Qinghai-Tibetan Plateau and the Surroundings

By: Zhijie Liao

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Thermal Springs and Geothermal Energy in the Qinghai-Tibetan Plateau and the Surroundings

By: Zhijie Liao

This book introduces readers to the rich and varied thermal springs of the Tibetan Plateau, which is steadily rising due to the collision of two continental plates. Readers will discover a wealth of information on boiling springs and hot springs, including their location and elevation, temperature, geological characteristics, and water chemical data, as well as tables on warm and tepid springs. Shedding new light on this vital supplement to hydroelectric resources in remote southwest China, the book will appeal to a broad relationship, from experts researching the Tibetan Plateau to companies specializing in geothermal exploration.

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Page Count

319

Publisher

Springer

Published Date

ISBN 10

9811034850

ISBN 13

9789811034855

PDE Modeling and Boundary Control for Flexible Mechanical System

By: Zhijie Liu,Jinkun Liu

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PDE Modeling and Boundary Control for Flexible Mechanical System

By: Zhijie Liu,Jinkun Liu

This book provides a comprehensive review of fundamental issues in the dynamical modeling and vibration control design for several flexible mechanical systems, such as flexible satellites, flexible aerial refueling hoses, and flexible three-dimensional manipulators. Offering an authoritative reference guide to the dynamics and control of flexible mechanical systems, it equips readers to solve a host of problems concerning these systems. It provides not only a complete overview of flexible systems, but also a better understanding of the technical levels involved. The book is divided into ten chapters: Chapters 1 and 2 lay the foundations, while the remaining chapters explore several independent yet related topics in detail. The book’s final chapter presents conclusions and recommendations for future research. Given its scope, the book is intended for researchers, graduate students, and engineers whose work involves control systems, flexible mechanical systems, and related areas.

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Page Count

184

Publisher

Springer Nature

Published Date

ISBN 10

981152596X

ISBN 13

9789811525964

Innovation, Entrepreneurship, and the Economy in the US, China, and India

Historical Perspectives and Future Trends

By: Rajiv Shah,Zhijie Gao,Harini Mittal

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Innovation, Entrepreneurship, and the Economy in the US, China, and India

Historical Perspectives and Future Trends

By: Rajiv Shah,Zhijie Gao,Harini Mittal

What drives innovation and entrepreneurship in India, China, and the United States? Our data-rich and evidence-based exploration of relationships among innovation, entrepreneurship, and economic growth yields theoretical models of economic growth in the context of macroeconomic factors. Because we know far too little about the key characteristics of Chinese and Indian entrepreneurs and the ways they innovate, our balanced, systematic comparison of entrepreneurship and innovation results in a new approach to looking at economic growth that can be used to model empirical data from other countries. The importance of innovation and entrepreneurship to any economy has been recognized since the pioneering work of Joseph Schumpeter. Our analysis of the major factors that affect innovation and entrepreneurship in these three parts of the world – US, China and India –provides a comprehensive view of their effects and their likely futures. - Looks at elements important for innovation and entrepreneurship and compares them against each other within the three countries - Places theoretical modeling of economic growth in the context of the overall macroeconomic factors - Explores questions about the relationships among innovation, entrepreneurship and economic growth in China, India and the US

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Page Count

415

Publisher

Academic Press

Published Date

ISBN 10

0128018658

ISBN 13

9780128018651

Environmental Pollution Control

By: Jingling Liu,Lulu Zhang,Zhijie Liu

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Environmental Pollution Control

By: Jingling Liu,Lulu Zhang,Zhijie Liu

The book illustrates theories of sustainable development from physical, chemical and biological aspects, and then introduces technologies to prevent pollution of water, air, solid waste and noise, finally concludes with ecological environmental protection and restoration techniques. With interdisciplinary features and abundant case studies, it is an essential reference for researchers and industrial engineers.

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Page Count

331

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110538067

ISBN 13

9783110538069

Solutions of Nonlinear Schrӧdinger Systems

By: Zhijie Chen

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Solutions of Nonlinear Schrӧdinger Systems

By: Zhijie Chen

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191

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Springer

Published Date

ISBN 10

3662454785

ISBN 13

9783662454787

Proceedings of the International Conference on Complex Geometry and Related Fields

By: Stephen S.-T. Yau

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Proceedings of the International Conference on Complex Geometry and Related Fields

By: Stephen S.-T. Yau

In commemoration and celebration of the tenth anniversary of the Institute of Mathematics at East China Normal University, an International Conference on complex geometry and related fields recently convened. This collection presents some of the conference highlights, dealing with various and significant topics of differential and algebraic geometry, while exploring their connections to number theory and mathematical physics.

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Page Count

402

Published Date

ISBN 10

1470438283

ISBN 13

9781470438289

Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

By: Tatsien Li,Yongji Tan,Zhijie Cai,Wei Chen,Jingnong Wang

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Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

By: Tatsien Li,Yongji Tan,Zhijie Cai,Wei Chen,Jingnong Wang

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Springer Science & Business Media

Published Date

ISBN 10

3642414257

ISBN 13

9783642414251

Book's by Zhijie Chen

Solutions of Nonlinear Schrӧdinger Systems

Solutions of Nonlinear Schrӧdinger Systems

Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

Middle-Income Trap

Middle-Income Trap

Thermal Springs and Geothermal Energy in the Qinghai-Tibetan Plateau and the Surroundings

Thermal Springs and Geothermal Energy in the Qinghai-Tibetan Plateau and the Surroundings

PDE Modeling and Boundary Control for Flexible Mechanical System

PDE Modeling and Boundary Control for Flexible Mechanical System

Innovation, Entrepreneurship, and the Economy in the US, China, and India

Innovation, Entrepreneurship, and the Economy in the US, China, and India

Environmental Pollution Control

Environmental Pollution Control

Solutions of Nonlinear Schrӧdinger Systems

Solutions of Nonlinear Schrӧdinger Systems

Proceedings of the International Conference on Complex Geometry and Related Fields

Proceedings of the International Conference on Complex Geometry and Related Fields

Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

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