2017
DOI: 10.1142/s0219493717500162
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Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting

Abstract: We investigate a spatially discrete surrogate model for the dynamics of a slender, elastic, inextensible fiber in turbulent flows. Deduced from a continuous space-time beam model for which no solution theory is available, it consists of a high-dimensional second order stochastic differential equation in time with a nonlinear algebraic constraint and an associated Lagrange multiplier term. We establish a suitable framework for the rigorous formulation and analysis of the semi-discrete model and prove existence … Show more

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Cited by 6 publications
(9 citation statements)
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“…The following result concerning the global strong solvability of SDAEs of the type (1.1) is a slight generalization of [23,Theorem 3.1]. Compared to [23] we consider weaker assumptions on the drift coefficient a, a more general class of constraint functions g, M is not assumed to be the identity matrix, and finite moments of all orders are established. Theorem 2.6 (Existence and uniqueness).…”
Section: 2mentioning
confidence: 99%
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“…The following result concerning the global strong solvability of SDAEs of the type (1.1) is a slight generalization of [23,Theorem 3.1]. Compared to [23] we consider weaker assumptions on the drift coefficient a, a more general class of constraint functions g, M is not assumed to be the identity matrix, and finite moments of all orders are established. Theorem 2.6 (Existence and uniqueness).…”
Section: 2mentioning
confidence: 99%
“…The proof of Theorem 2.6 is mostly analogous to that of [23,Theorem 3.1]. A sketch of the key steps of the proof and the differences to [23] can be found in Appendix A.…”
Section: 2mentioning
confidence: 99%
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