Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications

Yoshikazu Giga; Michał Łasica; Piotr Rybka

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arXiv · 2511.16486

Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications

Yoshikazu Giga·Michał Łasica·Piotr Rybka

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Abstract

We consider the question of convergence of a sequence of gradient flows defined on different Hilbert spaces. In order to give meaning to this idea, we introduce a notion of connecting operators. This permits us to generalize the concept of Mosco convergence of functionals to our present setting, and state a desired convergence result for gradient flows, which we then prove. We present a variety of examples, including thin domains, dynamic boundary conditions, and discrete-to-continuum limits.

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Yoshikazu Giga, Michał Łasica, Piotr Rybka. 2025-11-20. Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications. https://arxiv.org/abs/2511.16486

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