We study a nonlocal capillarity problem with interaction kernels that are possibly anisotropic and not necessarily invariant under scaling. In particular, the lack of scale invariance will be modeled via two different fractional exponents s1,s2∈(0,1) which take into account the possibility that the container and the environment present different features with respect to particle interactions. We determine a nonlocal Young’s law for the contact angle and discuss the unique solvability of the corresponding equation in terms of the interaction kernels and of the relative adhesion coefficient.
De Luca, A., Dipierro, S., Valdinoci, E. (2024). Nonlocal capillarity for anisotropic kernels. MATHEMATISCHE ANNALEN, 388(4), 3785-3846 [10.1007/s00208-023-02623-9].
Nonlocal capillarity for anisotropic kernels
De Luca, A;
2024
Abstract
We study a nonlocal capillarity problem with interaction kernels that are possibly anisotropic and not necessarily invariant under scaling. In particular, the lack of scale invariance will be modeled via two different fractional exponents s1,s2∈(0,1) which take into account the possibility that the container and the environment present different features with respect to particle interactions. We determine a nonlocal Young’s law for the contact angle and discuss the unique solvability of the corresponding equation in terms of the interaction kernels and of the relative adhesion coefficient.
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