Corrigendum: Analysis of nonlinear poroviscoelastic flows with discontinuous porosities (Nonlinearity (2023) 36 (7025) DOI: 10.1088/1361-6544/ad0871)

Lemma 3.12 needs to be modified in the case that d>1. The original proof used that BV(Ω) is a Banach algebra, which only holds if d= 1. In the corrected version of the lemma, we use the norm (Equations Presented). Lemma 3.12. Let Ω ⊂ R^d be a domain and let φ₀ ∈ BV(Ω) with ∥φ₀∥_L∞_(Ω) < R and inf_Ω φ₀ > ϵ. Then there exists T>0 such that φ^N_k ∈ S for all N ∈ N and k = 1,...,N, and there exists C>0 such that (Equations Presented) Proof. The proof of the first bound (Equations Presented) works analogously to the published version, as does the application of the Volpert chain rule. However, for general d, the further bounds using a product rule on BV(Ω) also require estimates of L^∞-norms (see, for example, [1, section B]). Using in addition (3.2), assuming that φ^N_k ∈ S, we obtain (Equations Presented) which together with (3.25) yields (Equations Presented)_. (3.26) As before, we choose the largest T such that φ0 − TC̄ ≥ ϵ, φ₀ + TC̄ ≤ R, which ensures that φ^N_k ∈ S for all N ∈ N and k = 1,...,N. Then as a consequence of (3.26), (Equations Presented) which implies (3.24). In the first equation of the proof of theorem 3.13, ∥·∥_BV(Ω) also needs to be replaced by ∥·∥_BV(Ω)∩_L∞_(Ω). The further proof of this theorem and the further results in the paper remain unchanged.