Turbulent fluctuations of the scalar dissipation rate are well known to have a strong impact on ignition and extinction in non-premixed combustion. In the present study the influence of stochastic fluctuations of the scalar dissipation rate on the solution of the flamelet equations is investigated. A one-step irreversible reaction is assumed. The system can thereby be described by the solution ...

We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order Schrödinger equation in high dimensions n ≥ 5, for general L initial data in the defocusing case, and for general initial data with Mass less than certain fraction of the Mass of the Ground State in the focusing case.

The ordinary nonlinear Schrodinger equation for deep-water waves (found by a perturbation analysis to 0(€3 ) in the wave steepness €) compares unfavourably with the exact calculations of Longuet-Higgins (1978) for € > 0·10. Dysthe (1979) showed that a significant improvement is found by taking the perturbation analysis one step further to 0(€ ). One of the dominant new effects is the wave-induc...

In the present work, we consider existence and spectral stability of multi-pulse solitary wave solutions to a nonlinear Schrödinger equation with both fourth second-order dispersion terms. We first give criterion for single solution in terms coefficients terms, then show that discrete family exists which is characterized by distances between individual pulses. reduce problem these multi-pulses ...