YORDANOV, Borislav 助教

YORDANOV, Borislav

数理科学系

所属
高等教育推進機構
研究分野
Hyperbolic Partial Differential Equations
キーワード
Diffusion Phenomenon, Nonlinear Damping, Nonlinear wave equation

研究内容

My research interests lie in the field of dissipative linear and nonlinear hyperbolic PDEs. The study of such equations has been inspired by theoretical physics. Indeed, hyperbolic equations arise in some of the fundamental
theories including general relativity, quantum field theory, electrodynamics, acoustics and elasticity.

My recent work concerns two problems: (1) global well-posedness for nonlinear wave equations with critical and supercritical damping and (2) asymptotic behavior for dissipative wave equations related to the so-called diffusion approximation of damped waves.

主要論文

  • P. Radu, G. Todorova and B. Yordanov, The Generalized Diffusion Phenomenon and Applications, accepted in SIAM Journal of Math. Anal., 2015.
  • G. Todorova and B. Yordanov, On the Regularizing Effect of Nonlinear Damping in Hyperbolic Equations, Trans. Amer. Math. Soc., 367 (2015), 5043-5058.
  • R. Ikehata, G. Todorova and B. Yordanov, Diffusion Phenomenon for Strongly Damped Wave Equations, J. Diff. Equations 254 (2013), 3352-3368.
研究者総覧

連絡先

yordanov(at)math.sci.hokudai.ac.jp