SWATI CHAUHAN

@iitr.ac.in

Research Associate and Applied Mathematics and Scientific Computing
IIT ROORKEE

SWATI CHAUHAN


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https://researchid.co/swatichauhan
7

Scopus Publications

41

Scholar Citations

4

Scholar h-index

1

Scholar i10-index

Scopus Publications

  • Conservation laws, modulation instability and analysis of the Rosenau regularized long wave equation via Lie symmetry
    Swati Chauhan, Shalini Yadav, Rajan Arora
    Journal of Differential Equations, 2026
  • An analysis of magnetogasdynamic shock wave propagation in a rotational axisymmetric self-gravitating nonideal gas
    Swati Chauhan, Deepika Singh
    European Physical Journal Plus, 2024
  • Shock wave kinematics in an inviscid gas with solid dust particles
    Swati Chauhan, Antim Chauhan, Rajan Arora
    European Physical Journal Plus, 2024
  • Similarity solution for isothermal flow behind the magnetogasdynamic cylindrical shock wave in a rotating non-ideal gas with the effect of the gravitational field
    Swati Chauhan, Deepika Singh, Rajan Arora
    Physics of Fluids, 2022
    In this paper, we investigate a system of quasilinear hyperbolic partial differential equations, which describes the propagation of cylindrical shock waves in a rotating non-ideal gas with the effects of the gravitational field and the axial magnetic field. It is assumed that the flow is isothermal. The Lie group of transformations is used to generate the self-similar solutions of the considered problem in the medium of uniform density. The axial and azimuthal components of fluid velocity and magnetic field are supposed to be varying. We find the generators of the Lie group of transformations by employing the invariant surface criteria. We discovered four alternative solutions by selecting the arbitrary constants indicated in the generators' phrase. Only in three out of these four cases, the self-similar solutions exist. Two types of shock paths appear while solving the above cases. The power-law shock path appears in the first and third cases, while the exponential-law shock path appears in the second case. To find self-similar solutions, these cases have been solved numerically. We graphically show the distributions of flow variables behind the shock wave so that we can observe the effect on flow variables of the various values of the non-ideal parameter, Alfvén Mach number, adiabatic exponent, gravitational parameter, and ambient azimuthal velocity exponent. For the computational task, we used “MATLAB” software.
  • Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents
    Swati Chauhan, Antim Chauhan, Rajan Arora
    Zeitschrift Fur Naturforschung Section A Journal of Physical Sciences, 2021
    In this work, we consider the system of partial differential equations describing one-dimensional (1D) radially symmetric (i.e., cylindrical or spherical) flow of a nonideal gas with small solid dust particles. We analyze the implosion of cylindrical and spherical symmetric strong shock waves in a mixture of a nonideal gas with small solid dust particles. An evolution equation for the strong cylindrical and spherical shock waves is derived by using the Maslov technique based on the kinematics of 1D motion. The approximate value of the similarity exponent describing the behavior of strong shocks is calculated by applying a first-order truncation approximation. The obtained approximate values of similarity exponent are compared with the values of the similarity exponent obtained from Whitham’s rule and Guderley’s method. All the above computations are performed for the different values of mass fraction of dust particles, relative specific heat, and the ratio of the density of dust particle to the density of the mixture and van der Waals excluded volume.
  • Lie Symmetry Reductions and Wave Solutions of Coupled Equal Width Wave Equation
    Swati Chauhan, Rajan Arora, Antim Chauhan
    International Journal of Applied and Computational Mathematics, 2020
  • Similarity solutions of converging shock waves in an ideal relaxing gas with dust particles
    Swati Chauhan, Antim Chauhan, Rajan Arora
    European Physical Journal Plus, 2020

RECENT SCHOLAR PUBLICATIONS

  • Conservation laws, modulation instability and analysis of the Rosenau regularized long wave equation via Lie symmetry
    S Chauhan, S Yadav, R Arora
    Journal of Differential Equations 463, 114234 , 2026
    2026
  • An analysis of magnetogasdynamic shock wave propagation in a rotational axisymmetric self-gravitating nonideal gas
    S Chauhan, D Singh
    The European Physical Journal Plus 139 (10), 1-20 , 2024
    2024
    Citations: 6
  • Shock wave kinematics in an inviscid gas with solid dust particles
    S Chauhan, A Chauhan, R Arora
    The European Physical Journal Plus 139 (10), 1-15 , 2024
    2024
    Citations: 2
  • Similarity solution for isothermal flow behind the magnetogasdynamic cylindrical shock wave in a rotating non-ideal gas with the effect of the gravitational field
    S Chauhan, D Singh, R Arora
    Physics of Fluids 34 (11) , 2022
    2022
    Citations: 15
  • Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents.
    S Chauhan, A Chauhan, R Arora
    Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences 76 (12) , 2021
    2021
    Citations: 4
  • Lie symmetry reductions and wave solutions of coupled equal width wave equation
    S Chauhan, R Arora, A Chauhan
    International Journal of Applied and Computational Mathematics 6 (6), 159 , 2020
    2020
    Citations: 5
  • Similarity solutions of converging shock waves in an ideal relaxing gas with dust particles
    S Chauhan, A Chauhan, R Arora
    The European Physical Journal Plus 135 (10), 825 , 2020
    2020
    Citations: 9

MOST CITED SCHOLAR PUBLICATIONS

  • Similarity solution for isothermal flow behind the magnetogasdynamic cylindrical shock wave in a rotating non-ideal gas with the effect of the gravitational field
    S Chauhan, D Singh, R Arora
    Physics of Fluids 34 (11) , 2022
    2022
    Citations: 15
  • Similarity solutions of converging shock waves in an ideal relaxing gas with dust particles
    S Chauhan, A Chauhan, R Arora
    The European Physical Journal Plus 135 (10), 825 , 2020
    2020
    Citations: 9
  • An analysis of magnetogasdynamic shock wave propagation in a rotational axisymmetric self-gravitating nonideal gas
    S Chauhan, D Singh
    The European Physical Journal Plus 139 (10), 1-20 , 2024
    2024
    Citations: 6
  • Lie symmetry reductions and wave solutions of coupled equal width wave equation
    S Chauhan, R Arora, A Chauhan
    International Journal of Applied and Computational Mathematics 6 (6), 159 , 2020
    2020
    Citations: 5
  • Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents.
    S Chauhan, A Chauhan, R Arora
    Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences 76 (12) , 2021
    2021
    Citations: 4
  • Shock wave kinematics in an inviscid gas with solid dust particles
    S Chauhan, A Chauhan, R Arora
    The European Physical Journal Plus 139 (10), 1-15 , 2024
    2024
    Citations: 2
  • Conservation laws, modulation instability and analysis of the Rosenau regularized long wave equation via Lie symmetry
    S Chauhan, S Yadav, R Arora
    Journal of Differential Equations 463, 114234 , 2026
    2026