Yukihiro Seki

Type II blow-up mechanisms in a semilinear heat equation with critical Joseph–Lundgren exponent

Yukihiro Seki · Journal of Functional Analysis · 2018 · 28 citations

Critical Joseph–lundgren Exponent, Physics, Parabolic Equation +3

ON EXACT DEAD-CORE RATES FOR A SEMILINEAR HEAT EQUATION WITH STRONG ABSORPTION

Yukihiro Seki · Communications in Contemporary Mathematics · 2011 · 27 citations

Numerical Analysis, Asymptotic Expansion Technique, Radiative Heat Transfer +15

Blow-up directions for quasilinear parabolic equations

Yukihiro Seki, Noriaki Umeda, Ryuichi Suzuki · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2008 · 21 citations

Blow-up Direction, Hyperbolic Conservation Law, Blow-up Directions +5

On directional blow-up for quasilinear parabolic equations with fast diffusion

Yukihiro Seki · Journal of Mathematical Analysis and Applications · 2007 · 17 citations

Numerical Analysis, Hyperbolic Conservation Law, Parabolic Equation +4

Refined construction of type II blow-up solutions for semilinear heat equations with Joseph–Lundgren supercritical nonlinearity

Asato Mukai, Yukihiro Seki · Discrete and Continuous Dynamical Systems · 2021 · 17 citations · Full text

Numerical Analysis, Radial Blow-up Solutions, Engineering +10