Threshold Phenomena in Nonlinear Diffusion Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Threshold Phenomena in Nonlinear Diffusion Equations write by David Hillel Terman. This book was released on 1980. Threshold Phenomena in Nonlinear Diffusion Equations available in PDF, EPUB and Kindle.
Nonlinear Diffusion
Nonlinear Diffusion - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Diffusion write by Homer Franklin Walker. This book was released on 1977. Nonlinear Diffusion available in PDF, EPUB and Kindle.
Travelling Waves in Nonlinear Diffusion-Convection Reaction
Travelling Waves in Nonlinear Diffusion-Convection Reaction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Travelling Waves in Nonlinear Diffusion-Convection Reaction write by Brian H. Gilding. This book was released on 2012-12-06. Travelling Waves in Nonlinear Diffusion-Convection Reaction available in PDF, EPUB and Kindle. This monograph has grown out of research we started in 1987, although the foun dations were laid in the 1970's when both of us were working on our doctoral theses, trying to generalize the now classic paper of Oleinik, Kalashnikov and Chzhou on nonlinear degenerate diffusion. Brian worked under the guidance of Bert Peletier at the University of Sussex in Brighton, England, and, later at Delft University of Technology in the Netherlands on extending the earlier mathematics to include nonlinear convection; while Robert worked at Lomonosov State Univer sity in Moscow under the supervision of Anatolii Kalashnikov on generalizing the earlier mathematics to include nonlinear absorption. We first met at a conference held in Rome in 1985. In 1987 we met again in Madrid at the invitation of Ildefonso Diaz, where we were both staying at 'La Residencia'. As providence would have it, the University 'Complutense' closed down during this visit in response to student demonstra tions, and, we were very much left to our own devices. It was natural that we should gravitate to a research topic of common interest. This turned out to be the characterization of the phenomenon of finite speed of propagation for nonlin ear reaction-convection-diffusion equations. Brian had just completed some work on this topic for nonlinear diffusion-convection, while Robert had earlier done the same for nonlinear diffusion-absorption. There was no question but that we bundle our efforts on the general situation.
Handbook of Dynamical Systems
Handbook of Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Dynamical Systems write by B. Fiedler. This book was released on 2002-02-21. Handbook of Dynamical Systems available in PDF, EPUB and Kindle. This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others.While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.
Patterns of Dynamics
Patterns of Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Patterns of Dynamics write by Pavel Gurevich. This book was released on 2018-02-07. Patterns of Dynamics available in PDF, EPUB and Kindle. Theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering are discussed in this volume that resulted from the conference Patterns in Dynamics held in honor of Bernold Fiedler, in Berlin, July 25-29, 2016.The contributions build and develop mathematical techniques, and use mathematical approaches for prediction and control of complex systems. The underlying mathematical theories help extract structures from experimental observations and, conversely, shed light on the formation, dynamics, and control of spatio-temporal patterns in applications. Theoretical areas covered include geometric analysis, spatial dynamics, spectral theory, traveling-wave theory, and topological data analysis; also discussed are their applications to chemotaxis, self-organization at interfaces, neuroscience, and transport processes.
