Registered Data

[CT040]

  • Session Time & Room
    • CT040 (1/1) : 3D @G601 [Chair: Arun Koottungal Revi]
  • Classification
    • CT040 (1/1) : Hyperbolic equations and hyperbolic systems (35L)

[02384] An Energy Stable Semi-implicit Scheme for the Euler System under Diffusive Scaling

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @G601
  • Type : Contributed Talk
  • Abstract : An asymptotic preserving (AP) and energy stable scheme for the barotropic Euler system under a diffusive scaling is designed and analysed. A semi-implicit upwind finite volume on a staggered grid which dissipates the mechanical energy is introduced. The proposed scheme preserves the positivity of density and is consistent with weak solutions. The results of extensive case studies are presented to substantiate the robustness and efficacy of the proposed scheme as well as the theoretical claims.
  • Classification : 35L45, 35L65, 35L67, 35L60
  • Format : Talk at Waseda University
  • Author(s) :
    • Arun Koottungal Revi (Indian Institute of Science Education and Research Thiruvananthapuram)
    • Mainak Kar (Indian Institute of Science Education and Research Thiruvananthapuram)

[00103] Two-dimensional Riemann problem for a new hyperbolic model for thin film flow of a perfectly soluble anti-surfactant solution

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @G601
  • Type : Contributed Talk
  • Abstract : This work is concerned with formulation of three-dimensional thin film model for an anti-surfactant solution and hence constructing unique global solution for a two-dimensional Riemann problem for the corresponding reduced hyperbolic form. We analyze the interactions of classical and non-classical waves in detail to construct the global solution of the corresponding 2-D Riemann problem. Further, we provide the expressions for strength, location and propagation speed of delta shock wave at each interaction point.
  • Classification : 35L65, 76L05, 35F55
  • Format : Talk at Waseda University
  • Author(s) :
    • RAJA SEKHAR TUNGALA (Department of Mathematics, Indian Institute of Technology Kharagpur)

[00025] Riemann problem and limiting behaviour of a macroscopic production model

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @G601
  • Type : Contributed Talk
  • Abstract : We are concerned with a macroscopic production model which is a hyperbolic system of conservation laws with the equation of state for a Van der Waals gas. Solution to the Riemann problem for the system for all types of initial data is constructed, which contains a vacuum state for certain initial data. Delta shock wave solution and vacuum state is observed in limiting cases.
  • Classification : 35L65, 35L67
  • Format : Talk at Waseda University
  • Author(s) :
    • Balakrishna Chhatria (Indian Institute of Technology Kharagpur)

[00021] Study of sonic-supersonic patch arising in axisymmetric relativistic transonic flow

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @G601
  • Type : Contributed Talk
  • Abstract : In this work, we study a sonic-supersonic patch arising in 3-D axisymmetric relativistic transonic flows. The main difficulty here is the coupling of nonhomogeneous terms due to axisymmetry and the sonic degeneracy for the relativistic flow. However, using the characteristic decompositions of angle variables, we prove the existence and regularity of solutions in partial hodograph plane first and then by using an inverse transformation, we construct a smooth solution in the physical plane.
  • Classification : 35L65, 35M10, 35M33, 35Q75, 35A01
  • Author(s) :
    • RAHUL BARTHWAL (Indian Institute of Technology Kharagpur)
    • RAHUL BARTHWAL (Indian Institute of Technology Kharagpur)
    • T Raja Sekhar (Indian Institute of Technology Kharagpur)