document.write("« A variational reduction and the existence of a fully-localised solitary wave for the three-dimensional water-wave problem with weak surface tension. (arXiv:1603.09189v2 [math.AP] UPDATED)");document.write(" | ");document.write("Adaptive PBDW approach to state estimation: noisy observations; user-defined update spaces. (arXiv:1712.09594v1 [math.NA]) »");