<p>A modeling study was performed for excitation of streamwise structures in a boundary layer with combustion. Modeling for undisturbed flow in a boundary layer is based on locally self-similar solutions for a boundary layer flow; these solutions account for streamwise pressure gradients and a heat source in the boundary layer with combustion that comply to simulated data. This undisturbed flow solution is a basis for solving a problem of interacting the external vorticity with a boundary layer (for the case of hydrogen-air combustion). We demonstrated that this type of interaction with the boundary layer generates intensive streamwise structure with velocity inhomogeneity in the lateral direction. These structures have the level of velocity higher than for the external vorticity velocity by factor of tens. Meanwhile, a maximum value of temperature inhomogeneity is much higher than for the velocity maldistribution.</p>