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Lectures: G. Toraldo di Francia: Lezioni sulla teoria della diffrazione elettromagnetica.- C.J. Bouwkamp: Theorie des multipoles, de l'antenne et de la diffraction des ondes.- Seminars: G. Eckart: Sur le fading des ondes ultracourtes et son analyse.- G. Agostinelli: Sulla teoria delle guide d´onda.- D. Graffi: Guide d´onda con dielettrico eterogeneo.

Cosmology. --- Electromagnetic waves. --- Microwaves. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Electromagnetic waves --- Mathematics. --- Partial differential equations. --- Optical engineering. --- Partial Differential Equations. --- Microwaves, RF and Optical Engineering. --- Differential equations, partial. --- Hertzian waves --- Electric waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Partial differential equations --- Mechanical engineering

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Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wide-ranging collection of up-to-date, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material.

Fluid mechanics --- Magnetohydrodynamics --- Singularities (Mathematics) --- Braid theory --- Knot theory --- Applied Mathematics --- Engineering & Applied Sciences --- Knots (Topology) --- Braids, Theory of --- Theory of braids --- Physics. --- Dynamics. --- Ergodic theory. --- Functions of complex variables. --- Topology. --- Continuum physics. --- Classical Continuum Physics. --- Dynamical Systems and Ergodic Theory. --- Several Complex Variables and Analytic Spaces. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Complex variables --- Elliptic functions --- Functions of real variables --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Low-dimensional topology --- Differentiable dynamical systems. --- Differential equations, partial. --- Classical and Continuum Physics. --- Partial differential equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Cetraro <2001>

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C. Baiocchi: Problèmes à frontière libre liés à des questions d’hydraulique.- Ch. Castaing: Intégrales convexes duales.- G. Duvaut: Etude de problèmes unilateraux en mécanique par des méthodes variationnelles.- D. Kinderlehrer: Remarks about the free boundaries occurring in variational inequalities.- H. Lanchon: Torsion élastoplastique d’arbres cylindriques: problèmes ouverts.- J.M. Lasry: Dualité en calcul des variations.- J.J. Moreau: On unilateral constraints, friction and plasticity.- B. Nayroles: Point de vue algébrique. Convexité et intégrantes convexes en mécanique des solides.- W. Noll: On certain convex sets of measures and phases of reacting mixtures.- W. Velte: On complementary variational inequalities.

Calculus of variations. --- Engineering mathematics. --- Mathematical optimization. --- Mathematical physics. --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Applied Physics --- Calculus --- Calculus of variations --- Mathematical physics --- Mathematics. --- Partial differential equations. --- Physics. --- Partial Differential Equations. --- Theoretical, Mathematical and Computational Physics. --- Differential equations, partial. --- Partial differential equations --- Physical mathematics --- Physics

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This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.

Differential equations, Hyperbolic --- Differential equations, Nonlinear --- Numerical solutions --- Congresses --- Differential equations [Hyperbolic] --- Differential equations [Nonlinear ] --- Partial differential equations. --- Numerical analysis. --- Thermodynamics. --- Computational intelligence. --- Partial Differential Equations. --- Numerical Analysis. --- Computational Intelligence. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Mathematical analysis --- Partial differential equations --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Differential equations, Hyperbolic - Numerical solutions - Congresses --- Differential equations, Nonlinear - Numerical solutions - Congresses