Gas Flows -- Governing Equations and Slip Models -- Shear-Driven Flows -- Pressure-Driven Flows -- Thermal Effects in Microscales -- Prototype Applications of Gas Flows -- Basic Concepts and Technologies -- Liquid Flows -- Electrokinetic Flows -- Surface Tension-Driven Flows -- Mixers and Chaotic Advection -- Simple Fluids in Nanochannels -- Water in Nanochannels -- Electroosmotic Flow in Nanoc…
Basic Material -- Approximation of Integrals -- Boundary Layer Behaviour -- Two-Point Boundary Value Problems -- Nonlinear Boundary Value Problems -- Elliptic Boundary Value Problems -- Boundary Layers in Time -- Evolution Equations with Boundary Layers -- The Continuation Method -- Averaging and Timescales -- Advanced Averaging -- Averaging for Evolution Equations -- Wave Equations on Unbounde…
Mathematical Models -- Introduction to State Space Theory -- Stability Theory -- Perturbation Theory -- Uncertain Spaces -- Appendix: Linear Algebra -- Complex Analysis -- Convolutions and Transforms -- Linear Operators.This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. This first volume is devoted to t…
Part I: The Neural Foundations -- From Classical Connectionist Models to Probabilistic / Generalised Regression Neural Networks (PNNs / GRNNs) -- The Kernel Memory Concept – A Paradigm Shift from Conventional Connectionism -- The Self-Organising Kernel Memory (SOKM) -- Part II: Artificial Mind Systems -- The Artificial Mind System (AMS), Modules, and their Interactions -- Sensation and Percep…
Review of Newtonian Dynamics -- Motion and Constraints -- Virtual Displacement and Virtual Work -- Variational Principles -- Generalized Coordinates -- Lagrange’s Equations -- Formulation of Equations -- Integration of Equations -- Examples -- Central Force Motion -- Gyroscopic Motion -- Stability Of Motion -- Impulsive Motion -- Gibbs-Appell Equations -- Hamilton’s Equations -- Contact Tra…
Physics of Unsteady Flows -- The Differential Equations of Fluid Flow -- Panel Methods -- Applications of Panel Method -- Boundary-Layer Methods -- Applications of Boundary-Layer Methods: Flows Without Separation -- Applications of Boundary-Layer Methods: Flows with Separation -- Navier-Stokes Methods -- Applications of Navier-Stokes Methods -- Companion Computer Programs.This book provides an …
Stochastic Fluid Models For the On-line Control of Communication Networks -- Stability Analysis of Window Flow Control -- H-infinity and LMMSE Based Capacity Predictors for Flow -- Control in Communication Networks -- Models and Methods for Analyzing Congestion Control and Active Management Schemes -- Delay Effects on the Stability of Various Fluid Models Encountered in High-speed Networks -- D…
Kohn's Proof of the Hypoellipticity of the Hörmander Operators -- Compactness Criteria for the Resolvent of Schrödinger Operators -- Global Pseudo-differential Calculus -- Analysis of some Fokker-Planck Operator -- Return to Equillibrium for the Fokker-Planck Operator -- Hypoellipticity and Nilpotent Groups -- Maximal Hypoellipticity for Polynomial of Vector Fields and Spectral Byproducts -- …
Balance Laws -- to Continuum Physics -- Hyperbolic Systems of Balance Laws -- The Cauchy Problem -- Entropy and the Stability of Classical Solutions -- The L1 Theory for Scalar Conservation Laws -- Hyperbolic Systems of Balance Laws in One-Space Dimension -- Admissible Shocks -- Admissible Wave Fans and the Riemann Problem -- Generalized Characteristics. -- Genuinely Nonlinear Scalar Conservati…
Physics -- Chain Conformations and Phase Behavior in Confined Polymer Blends -- Thermal Quark Anti-quark Free Energies, Energies and Screening in Hot SU(3) Gauge Theory -- Simulations of Particle Suspensions at the Institut für Computerphysik -- Numerical Modelling of Convection and Dynamo Processes in Fully Convective Stars -- Large Scale Simulation of a Cooled, Pulsed Jet in Symbiotic Stars …