Current trends in analysis, its applications and computation : proceedings of the 12th ISAAC congress, Aveiro, Portugal, 2019 / Paula Cerejeiras, Michael Reissig, Irene Sabadini, Joachim Toft, editors.

Intro
Preface
Contents
Part I Applications of Dynamical Systems Theory in Biology
Bifurcation Analysis of the Topp Model
1 Introduction
2 Analysis of the 3-Dimensional Topp Model
References
Optimal Harvesting in Age- and Size-Structured Population Models
1 Introduction
2 Age- and Size-Dependent Population Models
3 Harvesting Control
4 Optimization in Age-, Size-Structured Models
4.1 Optimization in Age-Structured Models
4.2 Optimization in Size-Structured Models
References
Part II Complex Analysis and Partial Differential Equations

Dirichlet Problem for Inhomogeneous Biharmonic Equation in Clifford Analysis
1 Introduction
2 Integral Representations in Complex Clifford Algebra
2.1 Dirac Equation
2.2 Poisson Equation
2.3 Second-Order Poisson Equation
3 Dirichlet Problem
References
A Note on the Schwarz Problem in a Ring Domain
1 Introduction
2 Preliminaries
3 Schwarz Problem for Inhomogeneous Cauchy-Riemann Equations
4 Schwarz Problem for Generalized Beltrami Equations in a Ring Domain
4.1 The Operators TR and R
4.2 Solution of a Generalized Beltrami Equation
References

On Hierarchical Models of Elastic Shallow Shells with Voids
1 Introduction
2 Basic Three-Dimensional Relations
3 Construction of Hierarchical Models for Elastic Shallow Shells with Voids
4 The N=0 Approximation for the Plate
References
Well-Posedness and Numerical Results to 3D Periodic Burgers' Equation in Lebesgue-Gevrey Class
1 Introduction
2 Well-Posedness Result
3 Numerical Result
References
BVP for the First Order Elliptic Systems in the Plane
References
Applications of Zalcman's Lemma in CN
1 Introduction
2 Marty's Criterion

3 Non-normal Families
4 Montel's Theorem in CN
5 Criterion of Normality
References
To the Theory of One Class of Three-Dimensional Integral Equation with Super-Singular Kernels by Tube Domain
1 Integral Representations of a Variety of Solutions
2 Inversion Formula
References
Part III Complex Geometry
Principal Higgs Bundles and Schottky Representations
1 Introduction
2 Schottky Representations
3 Principal Higgs Bundles and Branes
4 Schottky Representations and Branes
References
On Hodge Polynomials of Singular Character Varieties
1 Introduction

2 Preliminaries on Hodge-Deligne Polynomials, Affine GIT and Character Varieties
3 The Free Abelian Case
4 Generating Functions for E-Polynomials
5 The Free Group Case
References
Diagonal Double Kodaira Structures on Finite Groups
1 Introduction
2 Diagonal Double Kodaira Structures
3 The Case of Extra-Special p-Groups
4 Geometric Interpretation: From Diagonal Double Kodaira Structures to Diagonal Double Kodaira Fibrations
References
Symmetric Differentials and the Dimension of Hitchin Components for Orbi-Curves