Existence and uniqueness of solutions to the Peierls–Nabarro model in anisotropic media
DOI10.1088/1361-6544/ad1763arXiv2304.01268OpenAlexW4390825277MaRDI QIDQ6138852
Unnamed Author, James M. Scott
Publication date: 16 January 2024
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.01268
anisotropic elasticitydimension reductionGinzburg-Landau equationnonlocal equationsDirichlet-to-Neumann mapfractional LaplacianPeierls-Nabarro model
Crystalline structure (74E15) Statistical mechanics of crystals (82D25) Fractional derivatives and integrals (26A33) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Micromechanical theories (74A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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