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# Symmetry reduction and exact solutions of the Navier-Stokes equations . II ∗

@inproceedings{FUSHCHYCH1992SymmetryRA, title={Symmetry reduction and exact solutions of the Navier-Stokes equations . II ∗}, author={Wilhelm FUSHCHYCH}, year={1992} }

- Published 1992

which describe the motion of an incompressible viscous fluid are the basic equations of modern hydrodynamics. In (1.1) and below u = {ua(t, x)} denotes the velocity field of a fluid, p = p(t, x) denotes the pressure, x = {xa}, ∂t = ∂/∂t, ∂a = ∂/∂xa, ∇ = {∂a}, = ∇ · ∇ is the Laplacian, the kinematic coefficient of viscosity and fluid density are set equal to unity. Repead indices denote summation whereby we consider the indices a, b to take on values in {1, 2, 3} and the indices i, j to take on… CONTINUE READING

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