Classical and Stochastic Laplacian Growth
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 mo
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Björn Gustafsson Razvan Teodorescu Alexander Vasil’ev
Classical and Stochastic Laplacian Growth
Advances in Mathematical Fluid Mechanics Series Editors Giovanni P. Galdi, Pittsburgh, USA John G. Heywood, Vancouver, Canada Rolf Rannacher, Heidelberg, Germany
Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality monographs, or collections of works, on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. Its mathematical aims and scope are similar to those of the Journal of Mathematical Fluid Mechanics. In particular, mathematical aspects of computational methods and of applications to science and engineering are welcome as an important part of the theory. So also are works in related areas of mathematics that have a direct bearing on fluid mechanics. The monographs and collections of works published here may be written in a more expository style than is usual for research journals, with the intention of reaching a wide audience. Collections of review articles will also be sought from time to time. More information about this series at http://www.springer.com/series/5032
Björn Gustafsson • Razvan Teodorescu Alexander Vasil’ev
Classical and Stochastic Laplacian Growth
Björn Gustafsson Department of Mathematics KTH Royal Institute of Technology Stockholm, Sweden
Razvan Teodorescu Department of Mathematics University of South Florida Tampa, FL, USA
Alexander Vasil’ev Department of Mathematics University of Bergen Bergen, Norway
ISSN 2297-0320 ISSN 2297-0339 (electronic) ISBN 978-3-319-08286-8 ISBN 978-3-319-08287-5 (eBook) DOI 10.1007/978-3-319-08287-5 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014955451 Mathematics Subject Classification (2010): 76D27, 76M40, 30C20, 30C35, 30C62, 31A05, 35Q30, 35R35
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