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Table of Contents
Intro
Preface
Personal Memories and Tributes
Publications by Bong Jae Chung
Contents
Part I Theory
Natural Second-Order Regularity for Systems in the Case 1 1 Introduction
2 On the A-Approximation of an Operator and Its Properties
2.1 Notation
2.2 N-Functions
2.3 Nonlinear Operators with (p,o)-Structure
2.4 Approximation of a Nonlinear Operator
3 On the Existence and Uniqueness of Regular Solutions for the Approximate Problem
3.1 Description and Properties of the Boundary
3.2 Regularity Results with Possible Dependencies on A
4 Estimates Uniform with Respect to A for the Solutions of the Approximate Problem
5 Passing to the Limit
6 On the Time-Dependent Problem
References
Three-Dimensional Velocity Field Using the Cross-Model Viscosity Function
1 Introduction
2 Governing Equations
3 Main Results and Simulations
3.1 Constant Mean Pressure Gradient
3.2 Nonconstant Mean Pressure Gradient
4 Conclusions
References
Small Forced Oscillation of a Rigid Body in a Viscous Liquid
1 Introduction
2 Preliminary Results
3 Main Result
References
Critical Density Triplets for the Arrestment of a Sphere Falling in a Sharply Stratified Fluid
1 Introduction
2 Setup and Governing Equations
2.1 Setup Description
2.2 Nondimensionalization
2.3 The Potential Energy
3 Experimental Methods and Results
3.1 Tank, Bath, and Camera Setup
3.2 Stratification Setup
3.3 Experimental Results
4 Critical Density and Energy Criterion
4.1 Zero Density Transition Layer Thickness
4.2 Nonzero Density Transition Layer Thickness
5 Conclusion and Discussion
Appendix
Numerical Method
Preface
Personal Memories and Tributes
Publications by Bong Jae Chung
Contents
Part I Theory
Natural Second-Order Regularity for Systems in the Case 1
2 On the A-Approximation of an Operator and Its Properties
2.1 Notation
2.2 N-Functions
2.3 Nonlinear Operators with (p,o)-Structure
2.4 Approximation of a Nonlinear Operator
3 On the Existence and Uniqueness of Regular Solutions for the Approximate Problem
3.1 Description and Properties of the Boundary
3.2 Regularity Results with Possible Dependencies on A
4 Estimates Uniform with Respect to A for the Solutions of the Approximate Problem
5 Passing to the Limit
6 On the Time-Dependent Problem
References
Three-Dimensional Velocity Field Using the Cross-Model Viscosity Function
1 Introduction
2 Governing Equations
3 Main Results and Simulations
3.1 Constant Mean Pressure Gradient
3.2 Nonconstant Mean Pressure Gradient
4 Conclusions
References
Small Forced Oscillation of a Rigid Body in a Viscous Liquid
1 Introduction
2 Preliminary Results
3 Main Result
References
Critical Density Triplets for the Arrestment of a Sphere Falling in a Sharply Stratified Fluid
1 Introduction
2 Setup and Governing Equations
2.1 Setup Description
2.2 Nondimensionalization
2.3 The Potential Energy
3 Experimental Methods and Results
3.1 Tank, Bath, and Camera Setup
3.2 Stratification Setup
3.3 Experimental Results
4 Critical Density and Energy Criterion
4.1 Zero Density Transition Layer Thickness
4.2 Nonzero Density Transition Layer Thickness
5 Conclusion and Discussion
Appendix
Numerical Method