The Kelvin–Voigt equations and Oskolkov equations coupled with magnetohydrodynamics are studied by Sukacheva and Kondyukov (2017), Kondyukov et al. (2017), Kondyukov and Sukacheva (2019, 2020), Sukacheva (2022, section 1) who also refer to several other papers on the subject, and by Yang et al. (2024). These writers are mainly concerned with issues of well-posedness. Kuberry et al. (2012) investigate a numerical scheme for the Navier–Stokes–Voigt equations with magnetohydrodynamics, and various stability problems in magnetohydrodynamics with the Navier–Stokes–Voigt equations are being analysed systematically in recent work such as that of Basavarajappa and Bhatta (2025b), Kavitha et al. (2024), Kiran Kumar et al. (2024), Kumari et al. (2024), Sangamesh. et al. (2024b), Sangamesh. et al. (2025) and Straughan (2024a, section 6).