A variational approach to the Navier–Stokes equations

Blunck, 2001, Maximal regularity of discrete and continuous time evolution equations, Studia Math., 146, 157, 10.4064/sm146-2-3 Caffarelli, 1982, Partial regularity of suitable weak solutions of the Navier–Stokes equations, Comm. Pure Appl. Math., 35, 771, 10.1002/cpa.3160350604 DiPerna, 1989, Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math., 98, 511, 10.1007/BF01393835 Galdi, 2000, An introduction to the Navier–Stokes initial boundary value problem, vol. 1 Giga, 1981, The Stokes operator in Lr spaces, Proc. Japan Acad., 57, 85, 10.3792/pjaa.57.85 Kunstmann, 2004, Maximal Lp regularity for parabolic equations, Fourier multiplier theorems and H∞-functional calculus, vol. 1855 Pironneau, 1981, On the transport–diffusion algorithm and its applications to the Navier–Stokes equations, Numer. Math., 38, 309, 10.1007/BF01396435 Sohr, 1986, On the regularity of the pressure of weak solutions of Navier–Stokes equations, Arch. Math., 46, 428, 10.1007/BF01210782 Solonnikov, 1977, Estimates for solutions of nonstationary Navier–Stokes equations, J. Soviet Math., 8, 467, 10.1007/BF01084616 Temam, 1977