The procedure of solving the direct problem for a transonic gas outtow from the surface of a slowly rotating star is formulated within 2D ideal hydrodynamics. The nonrelativistic Grad-Shafranov equation describing a 2D stellar wind is written down. It is shown that the existence of an exact analytical solution-a spherically symmetrical stellar wind-allows to solve the direct problem for a ow pa...

A spatially two-dimensional sixth order PDE describing the evolution of a growing crystalline surface h(x, y, t) that undergoes faceting is considered with periodic boundary conditions, such as its reduced onedimensional version. These equation are expressed in terms of the slopes u1 = hx and u2 = hy to establish the existence of global, connected attractors for both of the equations. Since uni...

The existence of a natural and projectively equivariant quantization in the sense of Lecomte [20] was proved recently by M. Bordemann [4], using the framework of Thomas-Whitehead connections. We give a new proof of existence using the notion of Cartan projective connections and we obtain an explicit formula in terms of these connections. Our method yields the existence of a projectively equivar...

We study point and higher symmetries for the hydrodynamic-type systems with two independent variables t and x with and without explicit dependence of the equations on t, x. We consider those systems which possess an infinite group of the hy-drodynamic symmetries, establish existence conditions for this property and, using it, derive linearizing transformations for these systems. The recursion o...

In the title compound, C(18)H(16)ClNO(4), the dihedral angle between the mean planes through the aromatic rings is 83.8 (8)°. The hy-droxy-ethanimine group is essentially coplanar with the ring to which it is attached [O-N-C-C torsion angle = -177.96 (13)°]. The mol-ecules are linked into centrosymmetric R(2) (2)(6) dimers via O-H⋯N hydrogen bonds. The crystal packing is further stabilized by C...