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. |