Laplacian Growth on Branched Riemann Surfaces

Discover the fascinating world of fluid dynamics with Laplacian Growth on Branched Riemann Surfaces by Bjö Gustafsson. Published by Springer Nature Switzerland AG in 2021, this insightful first edition spans 156 pages, offering a comprehensive exploration of advanced mathematical concepts. The book delves into the solutions of the Polubarinova–Galin and Löwner–Kufarev equations, which are crucial for understanding the evolution of viscous fluid blobs in Hele-Shaw flows. Gustafsson expertly navigates the complexities that arise when these solutions lose their physical significance due to the loss of univalence in the mapping function. Ideal for researchers and students alike, this work is a valuable addition to the field of mathematical fluid dynamics. Enhance your understanding of these intricate subjects and their applications in modern science by adding this essential read to your collection.