Construction of ideal cotorsion pairs via recollements of triangulated categories

Let $({\mathcal{T}}^{\mathrm{\prime }},\mathcal{T},{\mathcal{T}}^{\mathrm{\prime }\mathrm{\prime }})$ be a recollement of triangulated categories.A complete ideal cotorsion pair in $\mathcal{T}$ induces complete ideal cotorsion pairs in ${\mathcal{T}}^{\mathrm{\prime }}$ and ${\mathcal{T}}^{\mathrm{\prime }\mathrm{\prime }}$. In addition, if $(\mathcal{I},{\mathcal{I}}^{\perp })$ and $(\mathcal{J},{\mathcal{J}}^{\perp })$ are two complete ideal cotorsion pairs in a triangulated category, then $(\mathcal{I}\cap \mathcal{J},⟨{\mathcal{I}}^{\perp },{\mathcal{J}}^{\perp }⟩)$ is also a complete ideal cotorsion pair. By this method, starting from two complete ideal cotorsion pairs in ${\mathcal{T}}^{\mathrm{\prime }}$ and ${\mathcal{T}}^{\mathrm{\prime }\mathrm{\prime }}$, one can induce a family of complete ideal cotorsion pairs in $\mathcal{T}$.