On Well-Posedness for a Piezo-Electromagnetic Coupling Model with Boundary Dynamics

Rainer Picard

On Well-Posedness for a Piezo-Electromagnetic Coupling Model with Boundary Dynamics

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1704.01816 v1 pith:T5F3KNTT submitted 2017-04-06 math.AP

Rainer Picard This is my paper

classification math.AP

keywords boundaryequationsmodelwell-posednesscoupleddatadynamicssystem

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We consider a coupled system of Maxwell's equations and the equations of elasticity, which is commonly used to model piezo-electric material behavior. The boundary influence is encoded as a separate dynamics on the boundary data spaces coupled to the partial differential equations. Evolutionary well-posedness, i.e. Hadamard well-posedness and causal dependence on the data, is shown for the resulting model system.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

A Unified Physics-Informed Neural Network for Modeling Coupled Electro- and Elastodynamic Wave Propagation Using Three-Stage Loss Optimization
cs.NE 2026-02 reject novelty 3.0 of 10

A PINN is applied to a 1D piezoelectric wave system and reports 2.3%/4.9% L2 errors, but the 'exact solution' used for validation is inconsistent with the governing equations.

Pith tools