The geometry under consideration for this flow problem, namely paraboloid surface is similar to aircraft and car bonnet, bullet shape, front shape of submarine, rockets these types are useful in manufacturing formula F1 cars airplanes. fluid over has several applications space science, industries, mechanical works architecture. aim study explore the Cattaneo-Christov heat mass flux model steady...

Abstract We obtain a sharp bilinear restriction estimate for the paraboloid in $$\mathbb {R}^3$$ R 3 $$q>13/4.$$ q > 13 / 4 .