focalinterest.com

Tag: Boundary value problem

  • Radial perturbations give spherical harmonic eigenfunctions in impedance tomography

    Radial perturbations give spherical harmonic eigenfunctions in impedance tomography

    —

    in

    What the study found The study found that, for rotationally symmetric conductivity perturbations in the unit ball, the eigenfunctions of the linearized electrical impedance tomography operator correspond to spherical harmonics. It also gives an explicit formula for the associated eigenvalues. Why the authors say this matters The authors conclude that the structure they establish is…

  • Minimal partitions can exist in unbounded domains

    Minimal partitions can exist in unbounded domains

    —

    in

    What the study found The study finds that for unbounded domains, including domains of infinite volume, spectral minimal partitions can exist below a threshold determined by the essential spectrum and the best “k-1” partition energy. The behavior at the threshold differs by the choice of p: for p < ∞, minimizing partitions may or may…

  • GVEC provides flexible 3D MHD equilibrium solutions

    GVEC provides flexible 3D MHD equilibrium solutions

    —

    in

    GVEC solves 3D magnetohydrodynamic equilibrium equations for stellarators using flexible coordinates that represent complex plasma boundaries with simple cross-sections.