Proves L2 and Lp well-posedness for a strongly-coupled nonlocal analogue of the Navier-Lamé system via Fourier analysis and semigroup methods.
Wellposedness of a nonlinear peridynamic model
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abstract
We consider an evolution equation inspired by a model in peridynamics, with a singular pairwise interaction force term, and we give global in time existence, uniqueness and stability results for the Cauchy problem.
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math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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The Solvability of a Strongly-Coupled Nonlocal System of Equations
Proves L2 and Lp well-posedness for a strongly-coupled nonlocal analogue of the Navier-Lamé system via Fourier analysis and semigroup methods.