M. D. Arnold, Yu. Yu. Bakhtin, E. I. Dinaburg, “Regularity of solutions of the Navier–Stokes system on the plane”, UMN, 59:3(357) (2004), 157–158
M. D. Arnold, “Local existence theorem for the solutions of the $d$-dimensional system of Navier–Stokes equations”, UMN, 60:3(363) (2005), 173–174
Arnold M. D., Bakhtin Yu. Yu., Dinaburg E. I., “Regularity of Solutions to Vorticity Navier-Stokes System on $R^2$”, Communications in Mathematical Physics, 258 (2005), 339–348
Sinai Ya. G. and Arnold M. D., “Global Existence and Uniqueness Theorem for 3D-Navier-Stokes System on $\mathbb T^3$ for Small Initial Conditions in the Spaces $\Phi(\alpha)$”, Pure and Applied Mathematics Quaterly, 4:1, part 2 (2008), 71–79
M. D. Arnold, A. V. Khokhlov, “On implementation of a blowing-up tornado-type solution of a complex 3D Navier–Stokes system”, Uspekhi Mat. Nauk, 64:6(390) (2009), 171–172; Russian Math. Surveys, 64:6 (2009), 1133–1135
M. D. Arnold, “Local existence theorem for the solutions of the $d$-dimensional system of Navier–Stokes equations”, Uspekhi Mat. Nauk, 60:3(363) (2005), 173–174; Russian Math. Surveys, 60:3 (2005), 562–563
2004
4.
M. D. Arnold, Yu. Yu. Bakhtin, E. I. Dinaburg, “Regularity of solutions of the Navier–Stokes system on the plane”, Uspekhi Mat. Nauk, 59:3(357) (2004), 157–158; Russian Math. Surveys, 59:3 (2004), 560–561