4 papers
Existence of solutions for a class of IBVP for nonlinear hyperbolic equations
Svetlin Georgiev Georgiev, Mohamed Majdoub
We study a class of initial boundary value problems of hyperbolic type. A new topological approach is applied to prove the existence of non-negative classical solutions. The argume…
Two Dimensional Integral Inequalities on Time Scales
Svetlin G. Georgiev, Goverdan Khadekar, Praveen Kumar
In this paper, we formulate and prove Wendroff's inequalities on time scales. Next, we deduct some of Pachpatte's inequalities.
Classical Solutions for a Class of Burgers Equation
Svetlin G. Georgiev, Gal Davidi
In this paper we consider a class of Burgers equation. We propose a new method of investigation for existence of classical solutions.
Existence and Smoothness of Navier-Stokes Equations
Svetlin G. Georgiev, Gal Davidi
In this paper we propose new method for proving of global solutions for 3D Navier-Stokes equations. This complies an application to the Clay Institute Millennium Prize Navier Stoke…