LEADER 01574nam 2200361 n 450 001 996384893403316 005 20200818214233.0 035 $a(CKB)4940000000071241 035 $a(EEBO)2240897303 035 $a(UnM)99857459e 035 $a(UnM)99857459 035 $a(EXLCZ)994940000000071241 100 $a19921214d1665 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 14$aThe famous and delectable history of Cleocreton & Cloryana$b[electronic resource] $ewherein is set forth the noble and heroick actions of Cleocreton Prince of Hungary, his vvonderful and vvarlike atchievements in sundry kingdoms. Herein is also declared, his constant love to the most beautiful princess Cloryana, the onely daughter of the Emperor of Persia 210 $aLondon $cprinted by J.B. for Charls Tyus, at the three Bibles on London-Bridge$d[166-?] 215 $a[2], 98, 145-155, [1] p. $cill. (woodcuts) 300 $aDedication signed: S.C. 300 $aPublication date conjectured by Wing. 300 $aRunning title reads: The pleasant history of Cleocreton and Cloryana. 300 $aIdentified as STC 4302 on UMI microfilm "Early English books, 1475-1640". 300 $aReproduction of the original in the Henry E. Huntington Library and Art Gallery. 330 $aeebo-0113 700 $aS. C$01010367 801 0$bCu-RivES 801 1$bCu-RivES 801 2$bCStRLIN 801 2$bWaOLN 906 $aBOOK 912 $a996384893403316 996 $aThe famous and delectable history of Cleocreton & Cloryana$92351609 997 $aUNISA LEADER 04200nam 2200553 450 001 996466561903316 005 20231110232131.0 010 $a3-030-69863-7 035 $a(CKB)4100000011807201 035 $a(MiAaPQ)EBC6524990 035 $a(Au-PeEL)EBL6524990 035 $a(OCoLC)1243263853 035 $a(PPN)254718949 035 $a(EXLCZ)994100000011807201 100 $a20211014d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLaplacian growth on branched Riemann surfaces /$fBjo? Gustafsson and Yu-Lin Lin 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (163 pages) $cillustrations 225 1 $aLecture Notes in Mathematics ;$vv.2287 311 $a3-030-69862-9 320 $aIncludes bibliographical references and index. 327 $aIntro -- Preface -- Contents -- 1 Introduction -- 1.1 General Background -- 1.2 Loss of Univalence, Several Scenarios -- 1.3 On the Construction of a Branched Riemann Surface -- 1.4 Moment Coordinates and the String Equation -- 1.5 Outlooks to Physics -- 1.6 Acknowledgements -- 2 The Polubarinova-Galin and Lo?wner-Kufarev Equations -- 2.1 Basic Set Up in the Univalent Case -- 2.2 Dynamics and Subordination -- 2.3 The Polubarinova-Galin Versus the Lo?wner-Kufarev Equation -- 3 Weak Solutions and Balayage -- 3.1 Weak Formulation of the Polubarinova-Galin Equation -- 3.2 Weak Solutions in Terms of Balayage -- 3.3 Inverse Balayage -- 3.4 More General Laplacian Evolutions -- 3.5 Regularity of the Boundary via the Exponential Transform -- 3.6 The Resultant and the Elimination Function -- 4 Weak and Strong Solutions on Riemann Surfaces -- 4.1 Laplacian Growth on Manifolds -- 4.2 Examples -- 4.3 The Riemann Surface Solution Pulled Back to the Unit Disk -- 4.4 Compatibility Between Balayage and Covering Maps -- 5 Global Simply Connected Weak Solutions -- 5.1 Statement of Result, and Two Lemmas -- 5.2 Statement of Conjecture, and Partial Proofs -- 5.3 Discussion -- 6 General Structure of Rational Solutions -- 6.1 Introduction -- 6.2 Direct Approach -- 6.3 Approach via Quadrature Identities -- 7 Examples -- 7.1 Examples: Several Evolutions of a Cardioid -- 7.1.1 The Univalent Solution -- 7.1.2 A Non-univalent Solution of the Polubarinova-Galin Equation -- 7.1.3 A Non-univalent Solution of the Lo?wner-Kufarev Equation -- 7.1.4 A Solution for the Suction Case -- 7.2 Injection Versus Suction in a Riemann Surface Setting -- 8 Moment Coordinates and the String Equation -- 8.1 The Polubarinova-Galin Equation as a String Equation -- 8.2 The String Equation for Univalent Conformal Maps -- 8.3 Intuition and Physical Interpretation in the Non-univalent Case. 327 $a8.4 An Example -- 8.4.1 General Case -- 8.4.2 First Subcase -- 8.4.3 Second Subcase -- 8.5 Moment Evolutions in Terms of Poisson Brackets -- 9 Hamiltonian Descriptions of General Laplacian Evolutions -- 9.1 Lie Derivatives and Interior Multiplication -- 9.2 Laplacian Evolutions -- 9.3 Schwarz Potentials and Generating Functions -- 9.4 Multitime Hamiltonians -- 10 The String Equation for Some Rational Functions -- 10.1 The String Equation on Quadrature Riemann Surfaces -- 10.2 The String Equation for Polynomials -- 10.3 Evolution of a Third Degree Polynomial with RealCoefficients -- 10.4 An Example by Ullemar -- Glossary -- References -- Index. 410 0$aLecture Notes in Mathematics 606 $aFluid dynamics 606 $aGeometric function theory 606 $aDinàmica de fluids$2thub 606 $aTeoria geomètrica de funcions$2thub 608 $aLlibres electṛnics$2thub 615 0$aFluid dynamics. 615 0$aGeometric function theory. 615 7$aDinàmica de fluids 615 7$aTeoria geomètrica de funcions 676 $a532.053 700 $aGustafsson$b Bjo?rn$f1947-$0853049 702 $aLin$b Yu-Lin 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466561903316 996 $aLaplacian growth on branched Riemann surfaces$91904861 997 $aUNISA