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Week 4

Bibliography: The books We've Studied

Papers referenced

[0] Gradient Driven and Singular Flux Blowup of Smooth Solutions to Hyperbolic Conservation Laws, Robin Young and Helge Jenssen

[1] Blowup in Hyperbolic Conservation Laws, Robin Young

[2] Blowup of Solutions and Boundary Instabilities in Nonlinear Hyperbolic Equations, Robin Young

[3] Exact Solutions to Degenerate Conservation Laws, Robin Young

[4] Blowup for Systems of Conservation Laws, Jenssen

[5] Hyperbolic Systems of Conservation Laws II, P. D. Lax

[6] Solutions in the Large for Nonlinear Hyperbolic Systems of Equations, James Glimm

[7] Wave Interactions in Nonlinear Elastic Strings, Robin Young

[8] Nonstrictly Hyperbolic Waves in Elasticity, Robin Young

[9] On Elementary Interactions for Hyperbolic Conservation Laws, Robin Young

[10] Blowup with Small BV Data in Hyperbolic Conservation Laws, Robin Young and Walter Szeliga

[11] Blowup in L infinity for a Class of Genuinely Nonlinear Hyperbolic Systems of Conservation Laws, Paolo Baiti and Helge Jenseen

[12] Nonlinear Stability and Instability of Transonic Flows Through a Nozzle, TP Liu

[13] Nonlinear Resonance for Quasilinear Hyperbolic Equations, TP Liu

[14] The Large Time Stability of Sound Waves, Blake Temple and Robin Young

Books Referenced

[0] Matrices, Denis Serre

[1] An Introduction to Differentiable Manifolds and Riemannian Geometry, William M. Boothby

[2] PDEs 4th Edition, John Fritz

[3] Systems of Conservation Laws, Denis Serre

[3] Numerical Methods for Conservation Laws, Randall Leveque

[4] Differential Forms, Flanders

[5] Shock Waves and Reaction Diffusion Equations, Joel Smoller

Thanks to,

Professor Whittaker for loaning Fritz
Professor Young for countless hours spent opening a whole new world of math to us.

Produced and maintained by Robert Chase, the Department of Mathematics and Statistics