• Stability and instability results for the 2D a-Euler equations 

    Vasudevan, Shibi Kapisthalam (University of Missouri--Columbia, 2017)
    We study stability and instability of time independent solutions of the two dimensional a-Euler equations and Euler equations; the a-Euler equations are obtained by replacing the nonlinear term (u · ?)u in the classical ...
  • Topics in spectral theory of differential operators 

    Sukhtaiev, Selim (University of Missouri--Columbia, 2017)
    This dissertation is devoted to two eigenvalue counting problems: Determining the asymptotic behavior of large eigenvalues of self-adjoint extensions of partial differential operators, and computing the number of negative ...