nwhm/paper-org

Papers still being planned

  • Shock dynamics in random media (Alghamdi, Ketcheson, Muite)
    • Generalized Lax condition for fronts
    • shock suppression, shock formation delay
    • time reversal?
    • 1D
    • 2D/3D?
    • Journal: Comm. Math. Sci.
  • z-dispersive Stegotons revisited (Ketcheson, Muite?, Quezada?)
    • Analysis of simplified homogenized equations from my thesis
    • Stegoton velocity lower and upper bounds
    • Solitary waves -> shocks transition
    • (almost) everything becomes stegotons!
    • Velocity waves (Benson)

Submitted papers

  • c-dispersive linear waves (Quezada, Ketcheson)
    • Homogenization
    • High-frequency dispersion relation?
    • FV, spectral, and spectral-homogenized simulations in 2D
    • 3D simulations? Maybe, or leave those for later.
    • Anisotropic media that behave isotropically
    • Journal: Multiscale modeling and simulation/ SIAM Appl. Math. / Something physics
  • c-dispersive stegotons (Ketcheson, Quezada)
    • Formation
    • Collisions
    • Amplitude velocity, shape, scaling relations
    • Solitary wave velocity lower and upper bounds
    • Journal: Multiscale modeling and simulation / SIAM Appl. Math. / Comm. Math. Sci. / Something physics