Landau-Lifschitz is a popular name for a ten volume textbook course on theoretical physics envisioned but not finished in writing by Landau himself, used extensively by several generation of physicists, well known for clarity of the arguments. It reflects mainly the role of the main author, Lev Landau; his pupil Lifschitz helped with all volumes, while some other coauthors contributed to some volumes or revisions; volume 4 is written by Beresteckii, Lifschitz and Pitaevskii, without Landau. See wikipedia. Landau wrote most of volume 1, significant parts of volumes 2,3,5,6,9, and minor part in other volumes. Volume 6 on hydrodynamics reflects his own approach, where he derived most of hydrodynamics from scratch and on the way discovered some of the things classics overlooked. Notice that Lifschitz had a brother, also a theoretical physicist, who actually gave more significant contributions to condensed matter physics.
I Mechanics
II The classical theory of fields (mainly electrodynamics and gravity; in Russian original the title is Field theory)
III Quantum mechanics
IV Quantum electrodynamics
V Statistical physics, Part I
VI Fluid mechanics (Russian original is Hydrodynamics)
VII Elasticity
VIII Electrodynamics of continua
IX Statistical physics, Part II
X Physical kinetics