Waves and Stability in Continuous Media : WASCOM 2001 Proceedings of the XI International Conference Porto Ercole, Italy 3-9 June 2001.
Başlık:
Waves and Stability in Continuous Media : WASCOM 2001 Proceedings of the XI International Conference Porto Ercole, Italy 3-9 June 2001.
Yazar:
Monaco, Roberto.
ISBN:
9789812777331
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 online resource (615 pages)
İçerik:
TABLE OF CONTENTS -- Preface -- Conference Data -- Linear Stability Analysis of a 1D Flow in a Poroelastic Material under Disturbances with Adsorption -- 1 Introduction -- 2 Base flow -- 3 Adsorption/diffusion model -- 4 Linear stability analysis (1D and 2D) -- 5 Results -- 6 Discussion -- Compressible Flows in Time-Dependent Domains: Zero Mach Number Limit -- 1 Introduction -- 2 The incompressible limit of the Euler equations -- 3 Multiple scale expansion -- Recovering the Potential in the Schrödinger Equation from the N-D Map -- 1 Introduction -- 2 Recovering the Spectral Data from the Neumann to Dirichlet Map -- 3 Recovering the Potential from the Spectral Data Using the Boundary Control Method -- Acknowledgments -- References -- Multi-resolution Analysis in the Fractional Quantum Hall Effect -- 1 Introduction -- 2 Magnetic translations and MRA -- Acknowledgments -- References -- Space Homogeneous Solutions of the Linear Boltzmann Equation for Semiconductors: A Semigroup Approach -- 1 Introduction -- 2 Abstract semigroup approach -- 3 Existence of Solutions by Semigroup Theory -- Acknowledgements -- References -- Stationary Heat Conduction in a Rotating Frame -- 1 Introduction -- 2 Field Equations -- 3 General planar solution -- References -- Grad's Closure in the Kinetic Theory of a Chemically Reacting Gas -- 1 Introduction -- 2 Grad's equations -- 3 Numerical results -- Acknowledgements -- References -- Electron Flow Stability in Bulk Silicon in the Limit of Small Electric Field -- 1 Introduction -- 2 Basic equations and formulation of the problem -- 3 Asymptotic stability -- Acknowledgments -- References -- End Effects of Saint-Venant's Type in Mixtures of Thermoelastic Solids -- 1 Introduction -- 2 Notation and basic equations -- 3 The decay estimate -- Acknowledgments -- References.
Characteristic Shocks in Exceptional Directions -- 1 Introduction -- 2 Directional characteristic shock -- 3 Explicit form of the shock -- 4 Euler's variational equations -- 5 Conclusion -- References -- Schrödinger-like Model for Interband Tunnelling in Heterogeneous Semiconductor Devices: A Current Estimate -- 1 Introduction -- 2 The Kane Model -- 3 The Tunneling Probability and the Current Estimate -- Acknowledgements -- References -- Instabilities in Compressible Fluids -- 1 Introduction and Motivation -- 2 The Rayleigh and the Schwarzschild Criteria -- 3 Linear Stability Analysis -- 4 Results and Discussion -- 5 Summary -- Acknowledgments -- References -- An Inverse Problem in Fluid Dynamics -- 1 Introduction -- 2 Notations -- 3 Analysis of the problem -- 4 The Role Of The Body Forces -- 5 An Example -- References -- Continuum Mechanics and Dynamical Permutations -- 1 Permutations and sticky particles -- 2 Incompressible inviscid fluids -- 3 The semi-geostrophic equations -- 4 Jointly vibrating strings -- References -- Entropy Principle and Non Controllable Data for the Moment Systems -- 1 Introduction -- 2 Moment systems and entropy principle -- 3 Entropy principle violated and critical derivatives: one simple example -- 4 Non Controllable Boundary Data and Entropic Solutions -- 5 Acknowledgments -- References -- On the Onset of Convection in Presence of a Bounded Non Uniform Temperature Gradient -- 1 Introduction -- 2 Statement of the problem -- 3 Nonlinear stability -- 4 Nonlinear stability with respect to the bi-dimensional perturbations -- Acknowledgments -- References -- Global Geometrical Solutions for Hamilton-Jacobi Equations of Evolution Type -- 1 Introduction -- 2 The Reduction Theorem -- References -- Helmholtz-Boltzmann Thermodynamics on Configurations Space -- 1 Introduction.
2 Helmholtz thermodynamics of mechanical systems -- 3 Generalizations of Helmholtz' scheme -- References -- Variational Setting of Nonlinear Equilibrium Problem: Wedge Discontinuity Lines -- 1 Introduction -- 2 Wedge Line Discontinuity: Geometrical Setting -- 3 Variational Formulation of the Elastic Equilibrium Problem -- Wavelet Solutions in Elastic Nonlinear Oscillations -- 1 Introduction -- 2 Haar wavelet basis -- 3 Spline operator -- 4 Wavelet solution -- 5 Numerical solution using wavelets -- References -- Continuum Equations for Rarefied Gases -- 1 General Discussion -- 2 The Relaxation Model -- 3 Macroscopic Equations -- 4 First-Order Theory -- 5 The New Terms -- 6 Conclusion -- References -- Detonation Wave Structure Arising from the Kinetic Theory of Reacting Gases -- 1 Introduction -- 2 The kinetic model -- 3 Analysis and solution of the detonation problem -- 4 Numerical results -- Acknowledgements -- References -- Large Size Planar DVMs and Two Continuous Relations -- 1 Introduction and Results for Physical ClassesI-II models -- 2 DVMs for the second continuous relation alone -- 3 DVMs for the first and second Maxwellian relations -- 4 References -- A Constitutive Equation for the Pressure Tensor Leading to the Hydrodynamic Form of a Nonlinear Schrödinger Equation -- 1 Introduction -- 2 Model Derivation -- 3 Connecting Hydrodynamic and Schrödinger Equations -- 4 Conclusions -- Some Applications of Stability Switch Criteria in Delay Differential Systems -- 1 Introduction -- 2 Algal allelopathic competition in a chemostat-like environment -- 3 An innovation diffusion model for a two patches environment -- 4 Conclusions -- References -- Decay and Other Properties of Cross-Sectional Measures in Elasticity -- 1 Introduction.
2 Liapunov Stability and the Cross-Sectional Method: A Comparison -- 3 Examples of the Cross-Sectional Method in Elasticity -- References -- A Reduction Method for Multiple Wave Solutions to Quasilinear Dissipative Systems -- 1 Introduction -- 2 Monge-Ampère equation -- 3 Nonlinear diffusion with absorption -- 4 Exact solutions to wave-hierarchies -- Acknowledgments -- References -- Stability Results for Penetrative Convection in Porous Media for Fluids with Cubic Density -- 1 Introduction -- 2 Statement of the problem -- 3 Linear stability analysis: Principle of Exchange of Stabilities -- 4 Global nonlinear stability -- Acknowledgements -- References -- Dynamics of Lines in the Spreading of Liquids on Solid Surfaces -- 1 A creeping flow example of non-Newtonian liquid -- 2 Kinematics of a liquid at a contact-line -- 3 Equations of motion and boundary conditions revisited -- 4 Concluding remarks -- Acknowledgments -- References -- On the Boussinesq Hierarchy -- 1 Introduction -- 2 Invariant singularity analysis and Riccati system -- 3 Zero-curvature method -- 5 From a system to a hierarchy -- 6 From the zero-curvature to the higher order Lax pair -- 7 Reduction to a single equation of the generic system -- 8 Unsolved question and work in progress -- References -- Basic Parameters in Continuum Mechanics -- 1 Introduction -- 2 Rigidity property -- 3 Incompressibility -- 4 Heat Flux -- 5 Microstructure -- References -- Perturbative Method in the Study of Nonlinear Evolution Problems in the Diffusion of the Particles of a Mixture -- 1 Introduction -- 2 Basic theory -- 3 Solutions -- References -- On the Generalized Energy Method for Channel Flows -- 1 Introduction -- 2 Mathematical setting -- 3 Generalized functionals and variational problems for Couette flow.
4 Conditional nonlinear stability and rigid boundary conditions -- References -- Quasi-static Approximations of Photon Transport in an Interstellar Cloud -- 1 Introduction -- 2 The Abstract Problem -- 3 The Quasi-Static Approximation -- Acknowledgments -- References -- Double-diffusive Convection in Porous Media: The Darcy and Brinkman Models -- 1 Introduction -- 2 Mathematical models -- 3 Linear instability -- 4 Unconditional nonlinear stability -- 5 The general case: conditional stability and coincidence of critical Rayleigh numbers -- Acknowledgments -- References -- Existence and Uniqueness for Prandtl Equations and Zero Viscosity Limit of the Navier-Stokes Equations -- 1 Introduction -- 2 Function spaces -- 3 A parabolic equation -- 4 The mild form of the Prandtl equations -- 5 The main result -- 6 Zero Viscosity Limit on Bounded Domains -- Acknowledgments -- References -- Space-time Fractional Diffusion: Exact Solutions and Probability Interpretation -- 1 Introduction -- 2 The Green functions -- References -- Bifurcation Analysis of Equilibria with a Magnetic Island in Two-Dimensional MHD -- 1 Introduction -- 2 The MHD Model -- 3 Numerical techniques -- 4 The symmetric case -- 5 The non-symmetric case -- 6 A finite differences-spectral model -- 7 Final Discussion and Conclusion -- Acknowledgments -- References -- Existence of Unbounded Solutions in Thermoelasticity -- 1 Introduction -- 2 Notation and basic equations -- 3 Functional statement -- 4 The existence result -- Acknowledgments -- References -- Compton Cooling of a Radiating Fluid -- 1 Radiative fluids -- 2 The method of moments -- 3 Compton cooling of a plasma -- Acknowledgements -- References -- Fast Relaxation Phenomena in Extended Thermodynamics of Superfluids -- 1 Introduction -- 2 Wave propagation in a Superfluid -- 3 Conclusions -- References.
On the Reaction Stress in Bodies with Linear Internal Constraints.
Özet:
First organized in 1981, the WASCOM conference to bring together researchers and scientists from all over the world to discuss problems, promote collaborations and shape future directions for research in the field of stability and wave propagation in continuous media. This book constitutes the proceedings of the 11th edition of the conference, the first of the third millennium. The main topics are: (1) Linear and nonlinear hyperbolic equations, conservation laws and specific aspects of wave propagation; (2) stability of systems of PDEs, with particular reference to those of fluid and solid mechanics; (3) extended thermodynamics and passage from microscopic to macroscopic description of the medium for systems characterized also by inelastic interactions at the kinetic scale. The proceedings have been selected for coverage in:. Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). Contents: Recovering the Potential in the Schrödinger Equation from the N-D Map (S Avdonin et al.); Space Homogeneous Solutions of the Linear Boltzmann Equation for Semiconductors: A Semigroup Approach (J Banasiak et al.); Grad's Closure in the Kinetic Theory of a Chemically Reacting Gas (M Bisi et al.); Characteristic Shocks in Exceptional Directions (G Boillat & A Muracchini); Continuum Mechanics and Dynamical Permutations (Y Brenier); Continuum Equations for Rarefied Gases (X Chen & E A Spiegel); Decay and Other Properties of Cross-Sectional Measures in Elasticity (J N Flavin); Dynamics of Lines in the Spreading of Liquids on Solid Surfaces (H Gouin); Integration and Segregation in a Population - A Short Account of Socio-Thermodynamics (I Müller); Second Sound Propagation in Superfluid Helium via Extended Thermodynamics (A Muracchini et al.); An H -Theorem in a Simple Model of Chemically Reactive Dense Gases (J Polewczak); Modelling of
Dissipative Processes (K R Rajagopal); On the Geometry of Spatial Hydrodynamic Motions. Solitonic Connections (C Rogers); Thermodynamics and Balance Laws for Processes of Inelastic Deformations (E I Romenski); Kinetic and Fluidynamic Approaches to Four-Wave-Mixing and Thermal Acoustic Phenomena in Quantum Optics (F Schürrer er al.); Unconditional Nonlinear Stability Via the Energy Method (B Straughan); Entropy Methods for the Asymptotic Behaviour of Fourth-order Nonlinear Diffusion Equations (G Toscani); and other papers. Readership: Academics, researchers and graduate students in mathematical modeling, mathematical physics, fluid mechanics and thermodynamics.
Notlar:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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