An endovascular sealing stent-graft is configured to initially be positioned in a delivery catheter in a radially-compressed state, and to assume a radially-expanded state upon being deployed from the delivery catheter. The stent-graft includes a structural member, which includes a plurality of structural stent elements, and which, when the stent-graft assumes the radially-expanded state, has a generally tubular shape, and is shaped so as to define at least two elongated indentations, each of which extends rostrally to a rostral end of the structural member, and is tapered in a caudal direction until the indentation converges with the generally tubular shape of the structural member, and each of which has an axial length of at least 2 cm. The stent-graft further includes a fluid flow guide, which is coupled to at least a portion of the structural member, and covers at least a portion of each of the elongated indentations.