Singular surface theory is applied to study the growth and decay properties of weak magnetogasdynamic discontinuities under the influences of thermal conduction and the time-dependent radiation field interacting with magnetogasdynamic field with finite electrical conductivity. It is shown that the time-dependent radiation field gives rise to a radiation induced weak wave which is always damped and the magnetogasdynamic waves which break at the wave front if the initial discontinuity is sufficiently strong. The wave front curvature effects on the weak magnetogasdynamic waves are also discussed.
It is well known that from the two fundamental thermodynamic parameters pressure p is much more efficient in transformation of the matter state than temperature T. Optical breakdown in a form of microexplosion proved to be a simple, cheap, and efficient source of transient extreme pressure and temperature. Our interest is focused on the breakdown performed with femstosecond laser pulses both on a surface and in the bulk of material. The paper delivers some examples of the transformation effects observed mostly in the transparent dielectrics under irradiation with femtosecond laser pulses.
In this paper, we attempt to display effective numerical simulations of shock wave propagating represented by the Burgers equations known as a significant mathematical model for turbulence. A high order hybrid approximation based on seventh order weighted essentially non-oscillatory finite difference together with the sixth order finite difference scheme implemented for spatial discretization is presented and applied without any transformation or linearization to the Burgers equation and its modified form. Then, the produced system of first order ordinary differential equations is solved by the MacCormack method. The efficiency, accuracy and applicability of the proposed technique are analyzed by considering three test problems for several values of viscosity that can be caused by the steep shock behavior. The performance of the method is measured by some error norms. The results are in good agreement with the results reported previously, and moreover, the suggested approximation relatively comes to the forefront in terms of its low cost and easy implementation.
The dynamics of an impurity ion of charge q_{0} embedded in a two-component ionic plasma is represented as that of a particle in a random medium. The effect of the surroundings on the impurity is represented by a memory function whose form is proposed in this work. Our choice stands for the strongly coupled plasma for which the memory function has an oscillatory behavior with the plasma frequency. The model therefore describes the plasma in the strong coupling limit. We first derive a master equation governed by this memory function and, with the help of the Laplace transform, we solve it via a quartic algebraic equation. We calculate in the end the dynamical properties, i.e. the autocorrelation functions which are very useful in many areas of plasma physics as in radiative transport and in spectral line shape broadening theories.
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