Registered Data

[CT028]

  • Session Time & Room
    • CT028 (1/1) : 4E @G404 [Chair: GNANAVEL Soundararajan]
  • Classification
    • CT028 (1/1) : Qualitative properties of solutions to partial differential equations (35B)

[01348] Existence and nonexistence of solutions of thin-film equations with variable exponent spaces

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G404
  • Type : Contributed Talk
  • Abstract : This works aims at presenting a thin film problem involving variable exponent sources in a bounded domain. Which deals with the existence and nonexistence of solutions under subcritical initial energy. Also determine the global existence of solutions, exponential decay and finite time blow-up of solutions under specific conditions for the proposed model.
  • Classification : 35B44, 35D30, 35K70
  • Format : Talk at Waseda University
  • Author(s) :
    • GNANAVEL Soundararajan (Central University of Kerala)
    • GNANAVEL SOUNDARARAJAN (Central University of Kerala)

[01797] Random dynamics of 2D stochastic Naiver-Stokes equations on the whole space

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G404
  • Type : Contributed Talk
  • Abstract : In this talk, we consider the 2D stochastic Navier-Stokes equations (SNSE) driven by a linear multiplicative white noise of It\^o type on the whole space. Firstly, we will discuss the existence of a unique bi-spatial $(\mathbb{L}^2(\mathbb{R}^2),\mathbb{H}^1(\mathbb{R}^2))$-pullback random attractor for non-autonomous SNSE with initial data in $\mathbb{L}^2(\mathbb{R}^2)$. Finally, we will discuss the existence of an invariant measure for 2D autonomous SNSE. Also, the uniqueness of invariant measures for $\boldsymbol{f}=\mathbf{0}$ will be addressed.
  • Classification : 35B41, 35Q35, 37L55, 37N10, 35R60
  • Format : Talk at Waseda University
  • Author(s) :
    • Kush Kinra (Indian Institute of Technology Roorkee, Roorkee)
    • Manil T. Mohan (Indian Institute of Technology Roorkee, Roorkee)

[02575] Propagation of Nonlinear Waves in Non-genuinely Nonlinear Characteristic Field

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G404
  • Type : Contributed Talk
  • Abstract : We consider a quasilinear hyperbolic system of partial differential equations to discuss the evolution of weakly nonlinear waves, where the evolution equation includes quadratic, cubic, and quartic nonlinear terms and the flux function admits two inflection points. We present an example from gasdynamics with analytical and numerical results demonstrating a wide range of wave phenomena, and study the interaction of expansion and compression waves evolving from a rectangular pulse.
  • Classification : 35B40, 35B65, 35C20, 35L65, 35L67
  • Format : Online Talk on Zoom
  • Author(s) :
    • Triveni Prasad Shukla (National Institute of Technology Warangal)