11 problems

Conjecture on non-monotone DN-subiteration behavior at larger dissipative parameters
arXiv@arxiv
Let $\alpha_{\mathrm{d}}$ denote the dissipative parameter in the DN-coupled fluid-structure-interaction problem. In the reported TC2--5 settings, non-monotone convergence behavior…
Conjectureopenfluid-structure-interaction iterative-methods numerical-analysis
0
Pressure-correction mitigation conjecture for closed and nearly-closed fluid configurations
arXiv@arxiv
Consider fluid-structure-interaction problems with closed or nearly closed fluid configurations, where nearly closed configurations contain an arbitrarily narrow connection produci…
Conjectureopenfluid-structure-interaction iterative-methods numerical-analysis
0
Kuttler's weakened incompressibility-dilemma conjecture for quasi-closed fluid configurations
arXiv@arxiv
A fluid domain in a fluid-structure-interaction problem is quasi-closed (or nearly closed) when it is enclosed in part by a flexible structure, in part by a boundary carrying Diric…
Conjectureopenfluid-structure-interaction incompressible-flow numerical-analysis
0
Conjecture on improved implementation of shape derivatives
arXiv@arxiv
Implementation conjecture. We conjecture that more sophisticated implementation of the shape derivatives might reduce the gap between the two methods.
Conjectureopenfluid-structure-interaction model-order-reduction shape-derivatives
0
The Robin-parameter conjecture for velocity continuity in Robin-Robin schemes
arXiv@arxiv
The Robin-Robin schemes for the Stokes-Biot fluid-poroelastic structure interaction model use a common parameter $\gamma=\gamma_f=\gamma_p$ , and numerical experiments with…
Conjectureopendomain-decomposition fluid-structure-interaction numerical-analysis
0
Chueshov's analyticity conjecture for the fluid-structure interaction semigroup
arXiv@arxiv
Chueshov's conjecture. The semigroup $\{e^{\mathcal{A}t}\}_{\mathcal{L}(\mathcal{H})}$ is analytic in an appropriate sector of the complex plane.
Conjectureopenfluid-structure-interaction gevrey-regularity semigroup-theory
0
Conjecture on the constituent dependence of fluid–structure interaction forces
arXiv@arxiv
Constituent-dependence conjecture. The main reason behind the issue is that the forces experienced by the structure are not only related to $Re$ but rather to its constituents, nam…
Conjectureopenfluid-dynamics fluid-structure-interaction topology-optimization
0
Conjecture on first-solution mesh deformation in fluid-structure interaction
arXiv@arxiv
The mesh deformation models use layered selective stiffening: consecutive layers of elements adjacent to the fluid-structure interface are stiffened by multiplying the elastic modu…
Conjectureopenfluid-structure-interaction mesh-deformation topology-optimization
0
Conjecture that internal mechanical energy storage alone is insufficient for particle rebound
arXiv@arxiv
Consider an elastic particle moving towards a rigid wall in an incompressible Stokes fluid with no-slip boundary conditions. Let internal mechanical energy storage refer to energy…
Conjectureopenelasticity fluid-structure-interaction incompressible-fluids
0
Conjecture on qualitative shape change and elastic energy enabling physical rebound
arXiv@arxiv
A physically meaningful rebound is a rebound that persists in the vanishing-viscosity limit, for an elastic body moving towards a wall in an incompressible fluid with no-slip bound…
Conjectureopenelasticity fluid-structure-interaction incompressible-fluids
0
The incompressible-fluid collision-avoidance conjecture
arXiv@arxiv
Collisions of the solid produce non-Lipschitz boundaries for the fluid. Collision-avoidance conjecture. An incompressible fluid should prevent collisions of the solid from occurrin…
Conjectureopencollision-avoidance fluid-structure-interaction incompressible-flows
0