This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak-Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for an extended functional analytic framework. This theory is established in the first part of the book, which serves as an introduction to the subject, but is also an important ingredient of the whole story. The second part uses these theoretical tools for various types of PDEs, including abstract and parabolic equations but also PDEs arising from fluid and solid mechanics. For connoisseurs, there is a short chapter on homogenization of elliptic PDEs. The book will be of interest to researchers working in PDEs and in functional analysis.

This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak-Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for an extended functional analytic framework. This theory is established in the first part of the book, which serves as an introduction to the subject, but is also an important ingredient of the whole story. The second part uses these theoretical tools for various types of PDEs, including abstract and parabolic equations but also PDEs arising from fluid and solid mechanics. For connoisseurs, there is a short chapter on homogenization of elliptic PDEs. The book will be of interest to researchers working in PDEs and in functional analysis.

Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research.

This collection of poems from one of Poland's most unique contemporary writers, Grzegorz Wroblewski, demonstrates his characteristic virtues: an objectivist stance, anthropological focus, and epigrammatic concision. However, new elements are beginning to assert themselves as well. Wroblewski experiments with a more extensive use of found material--the preferred technique of English-language conceptual writers, which here acquires a distinctly Eastern European flavor, as well as with a lyrical candor that teases his readers with glimpses of his most private feelings. Bleak and terse, Wroblewski subjects his material to almost clinical treatment in order to better dissect and so understand the series of events that we call reality.

The author, Piotr Gwiazda, comments in the interview contained in this book on the title Messages: "The first association will be - perhaps inevitably - with the phone, email, and text messages we send and receive on a daily basis. Also the messages that "pour out of various devices" (as in Muriel Rukeyser's poem): news stories, speeches, alerts, warning labels, traffic and weather reports, TV and radio commercials, those targeted ads on Google and Facebook. Communications overload - but with a touch of magic to it. Again, we are both consumers and producers of messages: we post, we blog, we update, we upload. But I was also thinking about the broader connotations of the word. After all, messages can be exchanged in the course of a simple conversation."