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Köp båda 2 för 943 krThis interesting book is devoted to the Laplacian growth on Riemann surfaces. This book is a valuable contribution to the modern theory of Laplacian growth. It contains many useful and interesting results, together with a rigorous analysis of all treated problems. (Mirela Kohr, zbMATH 1526.30032, 2024)
Introduction.- The Polubarinova-Galin and Loewner-Kufarev equations.- Weak solutions and balayage.- Weak and strong solutions on Riemann surfaces.- Global simply connected weak solutions.- General structure of rational solutions.- Examples.- Moment coordinates and the string equation.- Hamiltonian descriptions of general Laplacian evolutions.- The string equation for some rational functions.