Nonlinear physics proceedings international (50 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Nonlinear problems in classical and quantumelectrodynamics.- On the stability of solitons.- Spectral transform and nonlinear evolution equations.- Spectral transform and solvability of nonlinear evolution equations.- The spectral transform NS a tool for solving nonlinear discrete evolution equations.- Hyperbolic balance laws in continuum phyisics.- Mathematical aspects of classical nonlinear field equations.- Non-linear transport equations : Properties deduced through transformation groups.- Nonlinear kinetic equation in plasma physics leading to soliton structures.…

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Nonlinear Problems in Physics.- Nonlinear Problems in Physics.- The Nonlinear Field Theories in Mechanics.- 1. Thermodynamics of Homogeneous Processes.- Temperature and Heat.- Homogeneous Processes.- The Thermodynamic State.- Thermodynamic Processes.- Histories.- Thermodynamic Constitutive Equations.- Example 1. The Classical Caloric Equations of State.- 2. Kinematics. Changes of Frame.- Geometry.- Primitive Elements of Thermomechanics.- Bodies, Configurations, Motions.- Mass Density.- Reference Configuration.- Deformation Gradient.- Change of Reference Configuration.- Current Configuration as Reference.- Stretch and Rotation.- Stretching and Spin.- Changes of Frame.- 3. Force and Work, Laws of Motion.- Physical Principles of Mechanics.- Forces and Moments in Continuum Mechanics.- Momentum and Moment of Momentum.- The Euler-Cauchy Stress Principle.- Energy and Heat Work.- Equations of Balance.- Differential Equations of Continuum Mechanics.- 4. Constitutive Equations. Simple Materials.- Nature of Constitutive Equations.- Equivalent Processes.- Constitutive Equations.- Axioms for Constitutive Equations.- Simple Materials.- Exercise 4.1 (Zaremba-Noll Theorem).- Reduction for Material Frame-Indifference.- Internal Constraints.- 5. The Isotropy Group.- Isotropy Group.- Orthogonal Part of the Isotropy Group.- Change of Reference Configuration.- 6. Solids, Isotropic Materials, Fluids, Fluid Crystals.- Main Properties of the Isotropy Group.- Isotropic Materials.- Solids.- Fluids.- Fluid Crystals.- 7. Motions with Constant Stretch History.- Definition.- Noll¿s Theorem.- Determination of the Deformation History from the First Three Rivlin-Ericksen Tensors.- Equivalence of Simple Materials with Rivlin-Ericksen Materials in Motions with Constant Stretch History.- Classification of Motions with Constant Stretch History.- 8. The Stress System in Viscometric Flows of Incompressible Fluids.- Recapitulation.- Functional Equations for the Response Function.- Illustration by Means of Shearing Flow.- Consequences of Invariance Under Reflections.- The Viscometric Functions. Normal-Stress Effects.- Position of the Classical Theory.- 9. Dynamical Conditions in Viscometric Flows.- Recapitulation.- Dynamic Compatibility.- Shearing Flow.- Channel Flow.- Helical Flows.- Flow Between Rotating Cylinders.- Flow in a Circular Pipe.- Other Viscometric Flows.- 10. Impossibility of Rectilinear Plow in Pipes.- Problem.- Explicit Constitutive Equation.- Dynamical Equation.- Compatibility.- 11. Elastic Materials.- Statics of Simple Materials.- Reduction for Frame-Indifference.- Elastic Fluids.- Natural States.- Isotropic Elastic Materials.- Unconstrained Bodies.- Incompressible Bodies.- Remarks.- 12. Non-Homogeneous Universal Solutions for Incompressible Elastic Bodies.- Universal Solutions.- List of the Universal Solutions.- Inflation or Eversion, Torsion, and Extension of a Cylinder.- Torsion and Tension of a Solid Cylinder.- Eversion.- Remarks on Method.- 13. Hyperelastic Materials.- The Piola-Kirchhoff Stress Tensor.- Definition of a Hyperelastic Material.- The Two Isotropy Groups.- Minimum of the Stored-Energy Function.- Need for an A Priori Inequality.- Coleman and Noll¿s Inequality.- 14. Work Theorems in Hyperelasticity.- Nonsense About Perpetual Motion.- Virtual Work of the Traction on the Boundary.- Homogeneous Processes in Homogeneous Bodies.- The First Work Theorem.- The Second Work Theorem.- The Third Work Theorem.- 15. Thermomechanics. Equipresence.- Fading Memory.- Thermodynamics and Continuum Mechanics Reviewed.- General Principles of the Thermomechanics of Continua.- Thermodynamic Process.- Constitutive Equations. Equipresence.- The Clausius-Duhem Inequality.- The Reduced Dissipation Inequality.- Simple Thermodynamic Materials.- 16. Thermodynamics of Simple Materials with Fading Memory.- Quasi-Elastic Response. Fading Memory.- Dissipation and Quasi-Elastic Response.- Applications.- A Final Remark on the Stored-Energy Function in Elasticity.- 17. Wave Motions. Compatibility.- The Nature of Wave Motions.- Hadamard¿s Lemma.- Singular Surfaces.- Singular Surfaces for a Motion.- Compatibility Conditions for Second-Order Singular Surfaces.- Equation of Balance at a Singular Surface.- Acceleration Waves in Elasticity.- Weak Singular Surfaces in General.- 18. Wave Propagation in Dissipative Materials.- The ¿Smoothing¿ Effect of Dissipation.- Waves and Quasi-Elastic Response.- Relation Between the Homo-thermal and Homentropic Acoustic Tensors.- Waves in Non-Conductors.- Waves in Definite Conductors.- Closure.- to Nonequilibrium Statistical Physics.- 1. Introduction.- References.- 2. Phenomenological Approach ¿ Thermodynamics of Irreversible Processes.- References.- 3. Statistical Mechanics ¿ General Method.- a) Introduction.- b) Liouville Equation.- c) Free Particles.- d) Potential Scattering.- e) General Theory.- f) General Evolution Equation.- g) Transformation Theory of the Kinetic Equation.- h) Correlations.- References.- 4. Boltzmann Situations.- a) Anharmonlc Solids.- b) Brownlan Motion.- References.- 5. Generalized Boltzmann Situations.- a) The Three-Body Problem.- b) Strongly Coupled Systems.- c) The RenormallzatIon Program.- Strongly Coupled Anharmonlc Oscillators.- d) Pl¿n Production in Baryon-Pion Scattering with a p-Meson in the Intermediate Stage.- e) Relation with S-Matrix Theory.- References.- 6. NonBoltzmann Situations.- a) General Remarks.- b) Harmonic Lattices.- c) Heisenberg Spin Systems.- d) Gravitational Plasmas.- References.- 7. Irreversibility.- a) Introduction.- b) Discussion of Zermelo¿s Paradox.- c) Discussion of Loschmidt¿s Paradox.- d) Meaning of Irreversibility.- References.- 8. Entropy.- a) Thermodynamic Entropy and Statistical Mechanics.- b) Entropy in Strongly Coupled Anharmonic Oscillators -Disorder and Entropy.- c) Canonical Entropy and Resonance Effects.- d) Numerical Calculations.- References.- 9. Concluding Remarks.- References.…

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Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Nonlinear problems in classical and quantumelectrodynamics.- On the stability of solitons.- Spectral transform and nonlinear evolution equations.- Spectral transform and solvability of nonlinear evolution equations.- The spectral transform NS a tool for solving nonlinear discrete evolution equations.- Hyperbolic balance laws in continuum phyisics.- Mathematical aspects of classical nonlinear field equations.- Non-linear transport equations : Properties deduced through transformation groups.- Nonlinear kinetic equation in plasma physics leading to soliton structures.…

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book collects contributions to the XXIII international conference 'Nonlinear dynamics of electronic systems'. Topics range from non-linearity in electronic circuits to synchronisation effects in complex networks to biological systems, neural dynamics and the complex organisation of the brain. Resting on a solid mathematical basis, these investigations address highly interdisciplinary problems in physics, engineering, biology and biochemistry.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - These refereed proceedings present recent developments on specific mathematical and physical aspects of nonlinear dynamics. The new findings discussed in here will be equally useful to graduate students and researchers. The topics dealt with cover a wide range of phenomena: solitons, integrable systems, Hamiltonian structures, Bäcklund and Darboux transformation, symmetries, fi- nite-dimensional dynamical systems, quantum and statistical mechanics, knot theory and braid group, R-matrix method, Hirota and Painlevé analysis, and applications to water waves, lattices, porous media, string theory and even cellular automata. …

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book collects contributions to the XXIII international conference 'Nonlinear dynamics of electronic systems'. Topics range from non-linearity in electronic circuits to synchronisation effects in complex networks to biological systems, neural dynamics and the complex organisation of the brain. Resting on a solid mathematical basis, these investigations address highly interdisciplinary problems in physics, engineering, biology and biochemistry.…