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Creators/Authors contains: "Scott, James"

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  1. ; ; ; (, Organometallics)
    Free, publicly-accessible full text available July 14, 2026
  2. ; (, SIAM Journal on Mathematical Analysis)
    Free, publicly-accessible full text available February 28, 2026
  3. ; ; (, Mathematics of Computation)
    We present a study on asymptotically compatible Galerkin discretizations for a class of parametrized nonlinear variational problems. The abstract analytical framework is based on variational convergence, or Gamma-convergence. We demonstrate the broad applicability of the theoretical framework by developing asymptotically compatible finite element discretizations of some representative nonlinear nonlocal variational problems on a bounded domain. These include nonlocal nonlinear problems with classically-defined, local boundary constraints through heterogeneous localization at the boundary, as well as nonlocal problems posed on parameter-dependent domains. 
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    Free, publicly-accessible full text available February 14, 2026
  4. ; ; (, Nonlinear Analysis)
    Free, publicly-accessible full text available January 1, 2026
  5. ; (, Continuum Mechanics and Thermodynamics)
    Full Text Available 
  6. ; (, SIAM Journal on Mathematical Analysis)
    Full Text Available 
  7. ; ; ; ; ; ; ; ; ; (, Carbon Management)
    Free, publicly-accessible full text available December 31, 2025
  8. ; (, Nonlinearity)
    Abstract We study the existence and uniqueness of solutions to the vector field Peierls–Nabarro (PN) model for curved dislocations in a transversely isotropic medium. Under suitable assumptions for the misfit potential on the slip plane, we reduce the 3D PN model to a nonlocal scalar Ginzburg–Landau equation. For a particular range of elastic coefficients, the nonlocal scalar equation with explicit nonlocal positive kernel is derived. We prove that any stable steady solution has a one-dimensional profile. As a result, we obtain that solutions to the scalar equation, as well as the original 3D system, are characterized as a one-parameter family of straight dislocations. This paper generalizes results found previously for the full isotropic case to an anisotropic setting. 
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  9. ; ; ; (, Mathematics and Mechanics of Complex Systems)
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  10. ; (, Studia Mathematica)
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