The Sun has tremendous influence on the Earth, therefore to study the solar atmosphere and interior is very important for the future of our civilisation. Heating of coronal and chromospheric plasma is one of  unsolved problems in solar physics. Jets are important ingredients of solar atmosphere. Some of the chromospheric  jets (e.g. type II spicules) rapidly disappear from chromospheric spectral lines probably due to the heating or turbulent states. This process is not yet explained.
The aim of this project is to study Kelvin-Helmholtz instability (KHI) of spicules in partially ionised plasmas and its role in rapid heating of the plasma. We will first start  with linear analytical solutions of magnetohydrodynamic (MHD) equations for partially ionised plasma.  Linear analytical solutions will be obtained by classical methods of the perturbation theory. Partially ionised plasma effects will be taken into account as ambipolar diffusion through Cowling diffusion coefficient. Then we will perform full numerical simulations of MHD equations in single and two-fluid approximations of partially ionised plasmas. Particular attention will be payed to the heating of KH vortices due to ion-neutral collisions, which may lead to the observed  disappearance of the spicules from chromospheric spectral lines. The project can be of great importance for solar physics in particular to the solution of coronal heating problem.
under the project, the young scientist will have opportunity to make collaborations with leading scientists of the field and specialists of numerical codes through the planed visits, which will be very helpful for his future work. Also, planned presentation of project results to international conferences will increase his knowledge and scientific skills and help him to grow as a scientist.