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[00750] Bayesian inverse problems for some hyperbolic conservation laws

  • Session Time & Room : 4D (Aug.24, 15:30-17:10) @G602
  • Type : Contributed Talk
  • Abstract : We study some inverse problems for hyperbolic conservation laws. Given observations of the entropy solution, we consider the problem of identifying the initial field or the flux function. Due to shockwaves, direct observations of the entropy solution are not "regulated" enough to fit in the Bayesian framework in Stuart (2010). To get round this, we propose a new approach by studying the trajectories for hyperbolic conservation laws and exploring their existence, uniqueness and stability.
  • Classification : 35L65, 35R30, 62F15, Partial Differential Equations, Inverse Problems
  • Format : Talk at Waseda University
  • Author(s) :
    • Duc-Lam Duong (LUT University)
    • Duc-Lam Duong (LUT University)
    • Masoumeh Dashti (University of Sussex)