Introduction -- Solar-Terrestrial Interactions -- Space Weather Causes and Effects -- Ionospheric Disturbances -- Ionospheric Storm Morphology -- Ionospheric Storm Origins and Models -- Ionospheric Irregularities -- Ionospheric Space Weather and Radio Propagation -- Conclusions.This book describes essential concepts of, and the status quo in, the field of ionospheric space weather. It explains …
The Rosetta Stone of L-functions -- New Encounters in Combinatorial Number Theory: From the Kakeya Problem to Cryptography -- Perspectives and Challenges to Harmonic Analysis and Geometry in High Dimensions: Geometric Diffusions as a Tool for Harmonic Analysis and Structure Definition of Data -- Open Questions on the Mumford-Shah Functional -- Multi-scale Modeling -- Mass in Quantum Yang-Mills …
Dynamique qualitative et théorie des oscillations -- La théorie de la stabilité -- La théorie des bifurcations -- La théorie classique des perturbations et les perturbations singulières -- Systèmes d’oscillateurs couplés -- Solutions ondes stationnaires et systèmes dynamiques -- Electrophysiologie, synchronisation et oscillations en salves.Par sa nature pluridisciplinaire, ce livre s…
Arithmetic over Function Fields: A Cohomological Approach -- Algebraic Stacks Whose Number of Points over Finite Fields is a Polynomial -- On a Problem of Miyaoka -- Monodromy Groups Associated to Non-Isotrivial Drinfeld Modules in Generic Characteristic -- Irreducible Values of Polynomials: A Non-Analogy -- Schemes over -- Line Bundles and p-Adic Characters -- Arithmetic Eisenstein Classes on…
Background -- The Equations of Motion for Extensible Strings -- Elementary Problems for Elastic Strings -- Planar Steady-State Problems for Elastic Rods -- to Bifurcation Theory and its Applications to Elasticity -- Global Bifurcation Problems for Strings and Rods -- Variational Methods -- Theory of Rods Deforming in Space -- Spatial Problems for Rods -- Axisymmetric Equilibria of Shells -- Ten…
Multiscale Discontinuous Galerkin Methods for Elliptic Problems with Multiple Scales -- Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions -- Adaptive Monte Carlo Algorithms for Stopped Diffusion -- The Heterogeneous Multi-Scale Method for Homogenization Problems -- A Coarsening Multigrid Method for Flow in Heterogeneous Porous Media -- On th…
Constraint Retraction for Dynamic Constraint Satisfaction Problems over Disjoint Real Intervals -- Computational Methods for Large Distributed Parameter Estimation Problems in 3D -- Robust Parameter Estimation for Identifying Satellite Injection Orbits -- On the Numerical Simulation of the Free Fall Problem -- Searching the Web: a Semantics-Based Approach -- Adaptive Computation with Perfectly …
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…
4d Formalism -- On Establishing Balance and Conservation Laws in Elastodynamics -- From Mathematical Physics to Engineering Science -- Evolving Interfaces -- The Unifying Nature of the Configurational Force Balance -- Generalized Stefan Models -- Explicit Kinetic Relation from “First Principles” -- Growth & Biomechanics -- Surface and Bulk Growth Unified -- Mechanical and Thermodynamical Mo…
The Dilute Bose Gas in 3D -- The Dilute Bose Gas in 2D -- Generalized Poincaré Inequalities -- Bose-Einstein Condensation and Superfluidity for Homogeneous Gases -- Gross-Pitaevskii Equation for Trapped Bosons -- Bose-Einstein Condensation and Superfluidity for Dilute Trapped Gases -- One-Dimensional Behavior of Dilute Bose Gases in Traps -- Two-Dimensional Behavior in Disc-Shaped Traps -- The…