On singular surface theory to study steepening of waves in non ideal magnetogasdynamics

2021 ◽  
Author(s):  
Bhawna Gupta ◽  
Rohit Singla
Keyword(s):  
Singular Surface ◽  
Surface Theory

Interaction of a singular surface with a strong shock in the interstellar gas clouds

2021 ◽  
Vol 63 ◽  
pp. 342-358
Author(s):  
Jasobanta Jena ◽  
Sheena Mittal
Keyword(s):  
Strong Shock ◽  
Singular Surface ◽  
Acceleration Wave ◽  
Interstellar Gas ◽  
Surface Theory ◽  
Expansion Waves ◽  
Lie Group Of Transformations ◽  
Compression And Expansion ◽  
Particular Solution ◽  
Flow Variables

We investigate the interaction between a singular surface and a strong shock in the self-gravitating interstellar gas clouds with the assumption of spherical symmetry. Using the method of the Lie group of transformations, a particular solution of the flow variables and the cooling–heating function for an infinitely strong shock is obtained. This paper explores an application of the singular surface theory in the evolution of an acceleration wave front propagating through an unperturbed medium. We discuss the formation of an acceleration, considering the cases of compression and expansion waves. The influence of the cooling–heating function on a shock formation is explained. The results of a collision between a strong shock and an acceleration wave are discussed using the Lax evolutionary conditions.   doi:10.1017/S1446181121000328

INTERACTION OF A SINGULAR SURFACE WITH A STRONG SHOCK IN THE INTERSTELLAR GAS CLOUDS

2021 ◽  
pp. 1-17
Author(s):  
J. JENA ◽  
S. MITTAL
Keyword(s):  
Strong Shock ◽  
Singular Surface ◽  
Acceleration Wave ◽  
Interstellar Gas ◽  
Surface Theory ◽  
Expansion Waves ◽  
Lie Group Of Transformations ◽  
Compression And Expansion ◽  
Particular Solution ◽  
Flow Variables

Abstract We investigate the interaction between a singular surface and a strong shock in the self-gravitating interstellar gas clouds with the assumption of spherical symmetry. Using the method of the Lie group of transformations, a particular solution of the flow variables and the cooling–heating function for an infinitely strong shock is obtained. This paper explores an application of the singular surface theory in the evolution of an acceleration wave front propagating through an unperturbed medium. We discuss the formation of an acceleration, considering the cases of compression and expansion waves. The influence of the cooling–heating function on a shock formation is explained. The results of a collision between a strong shock and an acceleration wave are discussed using the Lax evolutionary conditions.

scholarly journals Weak discontinuities in electrically conducting and radiating gases

2002 ◽  
pp. 63-78
Author(s):  
A. Rai
Keyword(s):  
Magnetic Field ◽  
Wave Amplitude ◽  
Singular Surface ◽  
Global Behavior ◽  
Depth Range ◽  
Differential Approximation ◽  
Surface Theory ◽  
Electrically Conducting ◽  
Finite Electrical Conductivity ◽  
Weak Discontinuities

The singular surface theory has been used to determine the law of propagation of weak discontinuities and the problem of growth and decay of waves. The effect of radioactive heat transfer has been treated using a differential approximation which is valid over entire optical depth range. The effects of wave geometry and magnetic field with finite electrical conductivity on the global behavior of the wave amplitude have also been studied. The two cases of diverging and converging waves have been discussed separately.

Continuity of lifting surface theory in subsonic and supersonic flow

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 1788-1791
Author(s):  
Tetsuhiko Ueda
Keyword(s):  
Supersonic Flow ◽  
Surface Theory ◽  
Lifting Surface

Nodal cubic surfaces

1979 ◽  
Vol 83 (3-4) ◽  
pp. 333-346
Author(s):  
W. L. Edge
Keyword(s):  
Singular Surface ◽  
Cubic Surface ◽  
Cubic Surfaces ◽  
Geometrical Relation ◽  
Elliptic Cone

SynopsisThe cubic surfaces in, save for the elliptic cone, are, whatever their singularities, projections of del Pezzo's non-singular surface F, of order 9 in. It is explained how, merely by specifying the geometrical relation of the vertex of projection to F, each cubic surface is obtainable “at a stroke”, without using spaces of intermediate dimensions.

Growth Kinetics of Molecular Beam Epitaxy on Non-Singular Surfaces

1992 ◽  
Vol 280 ◽  
Author(s):  
J. F. Egler ◽  
N. Otsuka ◽  
K. Mahalingam
Keyword(s):  
Surface Roughness ◽  
Monte Carlo ◽  
Growth Kinetics ◽  
Molecular Beam ◽  
Singular Surface ◽  
Sticking Coefficient ◽  
Singular Surfaces ◽  
Vicinal Surfaces ◽  
Kinetics Of ◽  
Multiple Configurations

ABSTRACTGrowth kinetics on non-singular surfaces were studied by Monte Carlo simulations. In contrast to the growth on singular and vicinal surfaces, the sticking coefficient on the non-singular surfaces was found to decrease with increase of the surface roughness. Simulations of annealing processes showed that surface diffusion of atoms leads to a stationary surface roughness, which is explained by multiple configurations having the lowest energy in the non-singular surface.

scholarly journals An inversion theorem in Fermi surface theory

2000 ◽  
Vol 53 (11) ◽  
pp. 1350-1384 ◽  
Author(s):  
Joel Feldman ◽  
Manfred Salmhofer ◽  
Eugene Trubowitz
Keyword(s):  
Fermi Surface ◽  
Surface Theory ◽  
Inversion Theorem
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