This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct solutions by means of an implicit numerical scheme. Offering a unique contribution by exploring in detail the synergy of analytical and numerical methods the book offers a valuable resource for...
This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical method...
This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exciting modern developments in mathematics and theoretical physics. Of particular interest are the relations between Laplacian growth and the infinite-size limit of ensembles of random matrices with complex eigenvalues; integrable hierarchies of differential equations and their spectral curves; classical and stochastic Lowner evolution and critical...
This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions ...
This book provides a comprehensive and consolidated reference for the multipolar fluid model. It presents applications of the model to standard as well as non-standard problems.
This book provides a comprehensive and consolidated reference for the multipolar fluid model. It presents applications of the model to standard as wel...
There are several physico-chemical processes that determine the behavior of multiphase fluid systems - e.g., the fluid dynamics in the different phases and the dynamics of the interface(s), mass transport between the fluids, adsorption effects at the interface, and transport of surfactants on the interface - and result in heterogeneous interface properties. In general, these processes are strongly coupled and local properties of the interface play a crucial role. A thorough understanding of the behavior of such complex flow problems must be based on physically sound mathematical models,...
There are several physico-chemical processes that determine the behavior of multiphase fluid systems - e.g., the fluid dynamics in the different ph...
This book aims to face particles in flows from many different, but essentially interconnected sides and points of view. Thus the selection of authors and topics represented in the chapters, ranges from deep mathematical analysis of the associated models, through the techniques of their numerical solution, towards real applications and physical implications.
The scope and structure of the book as well as the selection of authors was motivated by the very successful summer course and workshop "Particles in Flows'' that was held in Prague in the August of 2014. This meeting revealed the...
This book aims to face particles in flows from many different, but essentially interconnected sides and points of view. Thus the selection of autho...
Many problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations. This book is an introduction to the problems involving singular limits based on the concept of weak or variational solutions.
Many problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations. This book is an...
This book offers a thorough guide starting from fundamental functional analysis leading to the coupling of Stokes and Darcy equations, including numerical analysis and scientific computing.
This book offers a thorough guide starting from fundamental functional analysis leading to the coupling of Stokes and Darcy equations, including numer...
