Registered Data

[CT019]

  • Session Time & Room
    • CT019 (1/1) : 5B @G401 [Chair: Shin-Hwa Wang]
  • Classification
    • CT019 (1/1) : Boundary value problems for ordinary differential equations (34B) / Hyperbolic equations and hyperbolic systems (35L)

[00018] Structures and evolution of bifurcation diagrams for a one-dimensional diffusive generalized logistic problem with constant yield harvesting

  • Session Time & Room : 5B (Aug.25, 10:40-12:20) @G401
  • Type : Contributed Talk
  • Abstract : We study the diffusive generalized logistic problem with constant yield harvesting: \begin{equation*} \left \{ \begin{array}{ll} u^{\prime \prime }(x)+\lambda g(u)-\mu =0, & -10$. We prove that, for any fixed $\mu >0,$ on the $(\lambda ,\left \Vert u\right \Vert _{\infty })$-plane, the bifurcation diagram consists of a $\subset $-shaped curve and then we study the structures and evolution of bifurcation diagrams for varying $\mu >0.$
  • Classification : 34B18, 74G35
  • Format : Talk at Waseda University
  • Author(s) :
    • Shin-Hwa Wang (National Tsing Hua University, TAIWAN)
    • Kuo-Chih Hung (National Chin-Yi University of Technology, Taiwan)
    • Yiu-Nam Suen (National Tsing Hua University, TAIWAN)

[01883] An application to the generalized logistic growth model

  • Session Time & Room : 5B (Aug.25, 10:40-12:20) @G401
  • Type : Contributed Talk
  • Abstract : We study the bifurcation curves for a Dirichlet problem with geometrically concave nonlinearity. We give an application to the generalized logistic growth model. There are totally six qualitatively bifurcation curves.
  • Classification : 34B18, 74G35
  • Format : Talk at Waseda University
  • Author(s) :
    • Kuo-Chih Hung (National Chin-Yi University of Technology)
    • Kuo-Chih Hung (National Chin-Yi University of Technology)

[01163] An infinite class of shocks for compressible Euler

  • Session Time & Room : 5B (Aug.25, 10:40-12:20) @G401
  • Type : Contributed Talk
  • Abstract : We consider the two dimensional compressible Euler equations with azimuthal symmetry and construct an infinite class of shocks by establishing shock formation for a new Hölder family of so-called pre-shocks for all nonnegative integers. Moreover, a precise description of the dominant Riemann variable in the Hölder space is given in the form of a fractional series expansion.
  • Classification : 35L67, 35Q31, 76N15, 76L05
  • Format : Talk at Waseda University
  • Author(s) :
    • Calum Rickard (University of California, Davis)
    • Sameer Iyer (University of California, Davis)
    • Steve Shkoller (University of California, Davis)
    • Vlad Vicol (New York University)