Li Peng – författare

This book highlights the vital role of vegetation in terrestrial surface systems, emphasizing its importance in regulating climate change, acting as a carbon sink, and maintaining the surface energy balance by absorbing CO2 from human activities. However, urbanization, extreme droughts, floods, fires, and other events negatively impact biodiversity, increase tree mortality, trigger wildfires, and exacerbate food insecurity and poverty. Understanding the influence of global climate change and human activity on vegetation patterns is essential. The structure and function of vegetation ecosystems result from interactions between natural ecological processes and socio-cultural factors, leading to variability across different spatial and temporal scales. While local-scale studies provide detailed insights, they are often difficult to generalize. Conversely, large-scale studies can inform comprehensive planning but may overlook nuances between subsystems. Therefore, enhancing research on the evolution of vegetation ecosystems and their responses to climate change across multiple scales is crucial to mitigate risks and maintain ecosystem balance.

Extensive studies have explored the spatiotemporal dynamics and driving forces on large-scale vegetation structure, productivity, and resilience, especially on a global scale. However, there is limited research on vegetation characteristics in specific geological conditions and geomorphic regions, particularly in karst regions. Karst landforms account for 15% of the global vegetated land and are vital for global carbon and water cycles, as well as biodiversity conservation. Southwest China, the largest contiguous karst region, represents 0.36% of the vegetated land but contributes 5% of global aboveground biomass, making it a key carbon sink. However, its fragile ecological conditions, frequent extreme climate events, and unsustainable human activities have led to significant vegetation degradation and desertification, resulting in severe environmental damage in recent decades. To address these issues, ecological restoration measures have been launched since the early 2000s to boost vegetation.

This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations. It provides readers the background material needed to delve deeper into the subject and explore the rich research literature. 

In addition, the book addresses many of the basic techniques and results recently developed in connection with this theory, including the structure of solution sets for evolution inclusions with m-dissipative operators; quasi-autonomous and non-autonomous evolution inclusions and control systems; evolution inclusions with the Hille-Yosida operator; functional evolution inclusions; impulsive evolution inclusions; and stochastic evolution inclusions. Several applications of evolution inclusions and control systems are also discussed in detail. 

Based on extensive research work conducted by the authors and other experts over the past four years, the information presented is cutting-edge and comprehensive. As such, the book fills an important gap in the body of literature on the structure of evolution inclusions and its applications.