Exact solutions of the Navier-Stokes equations with the linear dependence of velocity components on two space variables

Direct functional separation of variables and new exact solutions to axisymmetric unsteady boundary-layer equations

“…For some other, less common methods, see [29][30][31][32][33][34][35]. Extensive surveys of exact solutions to the Navier-Stokes and boundary-layer equations can be found in [26,[36][37][38].…”

Non-isothermal flows of liquid metals and melts: Qualitative features, asymptotic models, problems, exact and approximate solutions

“…Steady and unsteady solutions to two-and three-dimensional Navier-Stokes equations can be found in [2,5,7,[10][11][12][13][14][15][16][17][18][19][20][21]23,22]. For models and exact solutions to hyperbolic and differential-difference Navier-Stokes equations, see [24][25][26][27].…”

Inhomogeneous Couette flow

“…Отметим, что система (1.5)-(1.8) была приведена в обзоре [4]. Там же были приведены все известные классические решения, принадлежащие рассматриваемому классу, и получены новые решения для указанной системы.…”