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pith:MFMSQ56T

pith:2026:MFMSQ56TEBBLYKSA7SKIHRPBMI

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A fully averaged poroelastic Kirchhoff plate interacting with an incompressible, viscous fluid: analysis and numerical simulation

Andrew Scharf, Felix Brandt, Josip Tamba\v{c}a, Sun\v{c}ica \v{C}ani\'c

A fully averaged poroelastic Kirchhoff plate simplifies coupling to incompressible viscous fluid.

arxiv:2605.17496 v1 · 2026-05-17 · math.AP

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Record completeness

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Claims

C1strongest claim

The fully averaged formulation offers several advantages over the classical Biot poroelastic plate model: both elastodynamic and pressure equations are posed on a codimension-one interface, the resulting numerical schemes are simpler to implement and computationally more efficient, and the fluid-structure coupling is more natural.

C2weakest assumption

The analysis of strong solutions depends on the existence of a regularized version of the coupled problem for which the spatial operator is sectorial and satisfies maximal L^p-regularity; the paper does not specify how the regularization is constructed or whether the limit as the regularization parameter tends to zero recovers the original system.

C3one line summary

Develops a fully averaged poroelastic Kirchhoff plate model interacting with time-dependent Stokes flow, proves existence of weak and strong solutions, shows exponential decay, and demonstrates a finite element method that approximates the full Biot-Stokes system in the thin limit.

References

80 extracted · 80 resolved · 0 Pith anchors

[1] A. Agresti and A. Hussein,MaximalL p-regularity andH ∞-calculus for block operator matrices and applications, J. Funct. Anal., 285 (2023), Paper No. 110146 2023

[2] Amann,Linear and Quasilinear Parabolic Problems 1995

[3] H. Amann,On the strong solvability of the Navier–Stokes equations, J. Math. Fluid Mech., 2 (2000), 16–98 2000

[4] I. Ambartsumyan, V. J. Ervin, T. Nguyen, and I. Yotov,A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media, ESAIM Math. Model. Numer. Anal., 53 (2019), 191 2019

[5] I. Ambartsumyan, E. Khattatov, I. Yotov, and P. Zunino,A Lagrange multiplier method for a Stokes–Biot fluid- poroelastic structure interaction problem, Numer. Math., 140 (2018), 513–553 2018

Formal links

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Receipt and verification

First computed	2026-05-20T00:04:42.213621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61592877d32042bc2a40fc9483c5e1623f9862ad623531e7372b03ea457e971d

Aliases

arxiv: 2605.17496 · arxiv_version: 2605.17496v1 · doi: 10.48550/arxiv.2605.17496 · pith_short_12: MFMSQ56TEBBL · pith_short_16: MFMSQ56TEBBLYKSA · pith_short_8: MFMSQ56T

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MFMSQ56TEBBLYKSA7SKIHRPBMI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 61592877d32042bc2a40fc9483c5e1623f9862ad623531e7372b03ea457e971d

Canonical record JSON

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    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-17T15:13:53Z",
    "title_canon_sha256": "7516a1690d95d5306424f18745d65dac90819669c251f1713ef9649f7afe8163"
  },
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    "kind": "arxiv",
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