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PreprintCC BY-NC-ND 4.0HAL

Well-posedness result for a stochastic model of contact with adhesion

  • Caroline Bauzet
  • Giovanna Bonfanti
  • Guy Vallet
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Abstract

This paper addresses the mathematical analysis of a stochastic nonlinear PDE system describing contact with adhesion between a viscoelastic body and a rigid support. The underlying model has been proposed in the deterministic setting by M. Frémond and mainly combines the damage and contact theories making use of the phase fields approach. The main result of this paper is the proof of existence and uniqueness of a solution for such a stochastic system by means of a fixed-point procedure.

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Cite

BibTeXRIS
BibTeX
@misc{bauzet2026wellposedness,
  title = {{Well-posedness result for a stochastic model of contact with adhesion}},
  author = {Caroline Bauzet and Giovanna Bonfanti and Guy Vallet},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05773821v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Well-posedness result for a stochastic model of contact with adhesion
AU  - Caroline Bauzet
AU  - Giovanna Bonfanti
AU  - Guy Vallet
PY  - 2026
DA  - 2026/09/30
PB  - HAL
UR  - https://hal.science/hal-05773821v1
AB  - This paper addresses the mathematical analysis of a stochastic nonlinear PDE system describing contact with adhesion between a viscoelastic body and a rigid support. The underlying model has been proposed in the deterministic setting by M. Frémond and mainly combines the damage and contact theories making use of the phase fields approach. The main result of this paper is the proof of existence and uniqueness of a solution for such a stochastic system by means of a fixed-point procedure.
ER  -