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The main part of this work establishes existence, uniqueness and regularity properties of measure-valued solutions of a nonlinear hyperbolic conservation law with non-local velocities. Major challenges stem from in- and

The main part of this work establishes existence, uniqueness and regularity properties of measure-valued solutions of a nonlinear hyperbolic conservation law with non-local velocities. Major challenges stem from in- and out-fluxes containing nonzero pure-point parts which cause discontinuities of the velocities. This part is preceded, and motivated, by an extended study which proves that an associated optimal control problem has no optimal $L^1$-solutions that are supported on short time intervals.

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Date Created
  • 2019
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  • Text
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    Note
    • Partial requirement for: Ph.D., Arizona State University, 2019
      Note type
      thesis
    • Includes bibliographical references (pages 95-96)
      Note type
      bibliography
    • Field of study: Applied mathematics

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    by Xiaoqian Gong

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