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This section contains free e-books and guides on Conservation Laws, some of the resources in this section can be viewed online and some of them can be downloaded.

Conservation Laws Books
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Numerical methods for conservation laws and related equations

PDF | 103 Pages | English
These notes present numerical methods for conservation laws and related time dependent nonlinear partial differential equations. The focus is on both simple scalar problems as well as multi dimensional systems.

 
Lecture Notes on Hyperbolic Conservation Laws

PDF | 84 Pages | English
These notes provide an introduction to the theory of hyperbolic systems of conservation laws in one space dimension.

 
Aspects Of Symmetry (PDF 26P)

PDF | 26 Pages | English
This note covers the following topics: introduction, conservation laws, the wheatstone bridge electric circuit, the golden ratio, embryonic development.

 
Hyperbolic Conservation Laws An Illustrated Tutorial (PDF 81P)

PDF | 81 Pages | English
These notes provide an introduction to the theory of hyperbolic systems of conservation laws in one space dimension. The various chapters cover the following topics:  Meaning of a conservation equation and definition of weak solutions, Hyperbolic systems, Shock waves: Rankine-Hugoniot equations and admissibility,Genuinely nonlinear and linearly degenerate characteristic fields, Centered rarefaction waves,The general solution of the Riemann problem, Wave interaction estimates,Weak solutions to the Cauchy problem, with initial data having small total variation, Approximations generated by the front-tracking method and by the Glimm scheme, Vanishing viscosity approximations.

 
Conservation Laws PDF 179P
Viscous Conservation Laws Scalar Laws (PDF 78P)

PDF | 78 Pages | English
This note covers the following topics: Hyperbolic conservation laws, stability of hyperbolic waves, heat equation, burgers waves, burgers greens functions, stability of diffusion waves, stability of shock waves, estimates of the greens function, stability of rarefaction waves, stability of rarefaction waves.

 
Class Notes Conservation Laws

Online | NA Pages | English
This note covers the following topics: Conserved Quantities, Energy and Momentum, Charge, Angular Momentum, Particle categories, Leptons and Lepton Number, Baryons and Baryon Number.

 
Lectures in Symmetries and Conservation Laws

Online | NA Pages | English
This note covers the following topics: Groups, Clebsch Gordon coeffs, Hadrons States and Consequences of Group Theory.

 
Conservation Laws [PDF]
Conservation Laws
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