Ma, Tian.
Phase Transition Dynamics [electronic resource] / by Tian Ma, Shouhong Wang. - XXII, 555 p. 155 illus. online resource.
User’s Guide -- General Theory of Phase Transition Dynamics -- Dynamic Transition Theory.- Equilibrium Phase Transition in Statistical Physics -- Fluid Dynamics -- Geophysical Fluid Dynamics and Climate Dynamics -- Dynamical Transitions in Chemistry and Biology.- References .
This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.
9781461489634
10.1007/978-1-4614-8963-4 doi
Mathematics.
Differential equations, partial.
Mathematics.
Partial Differential Equations.
Fluid- and Aerodynamics.
Complex Systems.
QA370-380
515.353
Phase Transition Dynamics [electronic resource] / by Tian Ma, Shouhong Wang. - XXII, 555 p. 155 illus. online resource.
User’s Guide -- General Theory of Phase Transition Dynamics -- Dynamic Transition Theory.- Equilibrium Phase Transition in Statistical Physics -- Fluid Dynamics -- Geophysical Fluid Dynamics and Climate Dynamics -- Dynamical Transitions in Chemistry and Biology.- References .
This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.
9781461489634
10.1007/978-1-4614-8963-4 doi
Mathematics.
Differential equations, partial.
Mathematics.
Partial Differential Equations.
Fluid- and Aerodynamics.
Complex Systems.
QA370-380
515.353