Existence of Classical Solutions for a Class of Several Types of Equations

Svetlin Georgiev, Gal Davidi

Abstract


We study a class of Hamilton-Jacobi equations, a class of Broer-Kaup equations and a class of incompressible incompressible Navier-Stokes equations. A new topological approach is applied to prove the existence of at least one and at least two nonnegative classical solutions. The arguments
are based upon recent theoretical results.


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