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Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model

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  • Satapathy, Purnima
  • Raja Sekhar, T.

Abstract

Inequivalent classes of similarity solutions for isentropic drift flux two phase flow model are obtained by using one dimensional optimal classifications. The optimality of this classification is shown in a constructive manner, i.e., by constructing various invariant functions including conditional and numerical invariants. Further, with the help of invariant solution, we discuss the evolution of weak discontinuity which displays the nature of the general solution.

Suggested Citation

  • Satapathy, Purnima & Raja Sekhar, T., 2018. "Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 107-116.
    • Handle: RePEc:eee:apmaco:v:334:y:2018:i:c:p:107-116
    DOI: 10.1016/j.amc.2018.03.114
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    Cited by:

    1. Shah, Sarswati & Singh, Randheer & Jena, Jasobanta, 2022. "Steepened wave in two-phase Chaplygin flows comprising a source term," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    2. Sil, Subhankar & Raja Sekhar, T., 2023. "Nonclassical potential symmetry analysis and exact solutions for a thin film model of a perfectly soluble anti-surfactant solution," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    3. Mandal, Sougata & Sil, Subhankar & Ghosh, Sukhendu, 2024. "Lie symmetries and optimal classifications with certain modal approaches for the three-dimensional gas-dynamical equations," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    4. Faridi, Waqas Ali & Wazwaz, Abdul-Majid & Mostafa, Almetwally M. & Myrzakulov, Ratbay & Umurzakhova, Zhanar, 2024. "The Lie point symmetry criteria and formation of exact analytical solutions for Kairat-II equation: Paul-Painlevé approach," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    5. Manjit Singh & Shou-Fu Tian, 2023. "Lie symmetries, group classification and conserved quantities of dispersionless Manakov–Santini system in (2+1)-dimension," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(2), pages 312-329, June.
    6. Karna, Ashutosh Kumar & Satapathy, Purnima, 2023. "Lie symmetry analysis for the Cargo–Leroux model with isentropic perturbation pressure equation of state," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    7. K. Krishnakumar & A. Durga Devi & V. Srinivasan & P. G. L. Leach, 2023. "Optimal system, similarity solution and Painlevé test on generalized modified Camassa-Holm equation," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(2), pages 547-557, June.
    8. Shagolshem, Sumanta & Bira, B. & Zeidan, D., 2023. "Optimal subalgebras and conservation laws with exact solutions for biological population model," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    9. Sil, Subhankar & Raja Sekhar, T. & Zeidan, Dia, 2020. "Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    10. Shagolshem, Sumanta & Bira, B. & Sil, Subhankar, 2022. "Conservation laws and some new exact solutions for traffic flow model via symmetry analysis," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).

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