10 citations · 15 across the 11 of their papers we have counts for
11 papers
Lifespan estimate for one dimensional wave equation with semilinear terms of spatial derivative
Ning-An Lai, Cui Ren, Takiko Sasaki +1
This paper studies the upper and lower bounds of the lifespan for the classical solutions to the initial value problems of one dimensional wave equations with non-autonomous semili…
A Structure-Preserving Stagewise Rescaling Algorithm for a Two-Dimensional Nonlocal MEMS Equation in an Asymptotically Constant-Feedback Regime
Takiko Sasaki, Tetsuji Tokihiro
Nonlocal MEMS equations exhibit finite-time quenching, or touchdown, which is difficult to capture numerically. We study a stagewise rescaling algorithm for a two-dimensional nonlo…
Sector-dominant graph-local drivers for path-window barrier Hamiltonians on the Boolean hypercube
Takiko Sasaki, Tetsuji Tokihiro
We study finite-size adiabatic state preparation on Boolean hypercubes using graph-local drivers built from sector/path coordinates related to monotone Gray-code representatives. T…
Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping
Ahmed Bchatnia, Makram Hamouda, Firas Kaabi +2
In this article, we investigate the blow-up behavior of solutions to the one-dimensional damped nonlinear wave equation, namely $$ \partial_t^2 u - \partial_x^2 u + \fracμ{1 + t} \…
Generalized FDNF fuzzification of elementary cellular automata and its nonlinear pattern dynamics
Takiko Sasaki, Seiryu Shimizu, Tetsuji Tokihiro
Fuzzy disjunctive normal form (FDNF) gives the canonical multi-affine extension of an elementary cellular automaton (ECA) rule to the unit cube. Although it preserves the Boolean r…
Slicing method for nonlinear integral inequalities related to critical nonlinear wave equations
Takiko Sasaki, Kerun Shao, Hiroyuki Takamura
This paper is devoted to a simple and short proof on the sharp upper bound of lifespan of classical solutions to wave equations with the critical power nonlinearities of spatial de…
Note on the existence of classical solutions of derivative semilinear models for one dimensional wave equation
Yuki Haruyama, Takiko Sasaki, Hiroyuki Takamura
This note is a supplement with a new result to the review paper by Takamura [13] on nonlinear wave equations in one space dimension. We are focusing here to the long-time existence…
The generalized combined effect for one dimensional wave equations with semilinear terms including product type
Ryuki Kido, Takiko Sasaki, Shu Takamatsu +1
We are interested in the so-called "combined effect" of two different kinds of nonlinear terms for semilinear wave equations in one space dimension. Recently, the first result with…
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. I -- Method and Justification
Taisei Asai, Hisatoshi Kodani, Kaname Matsue +2
In this paper, we provide a systematic methodology for calculating multi-order asymptotic expansion of blow-up solutions near blow-up for autonomous ordinary differential equations…
The combined effect in one space dimension beyond the general theory for nonlinear wave equations
Katsuaki Morisawa, Takiko Sasaki, Hiroyuki Takamura
In this paper, we show the so-called "combined effect" of two different kinds of nonlinear terms for semilinear wave equations in one space dimension. Such a special phenomenon app…
Numerical validation of blow-up solutions of ordinary differential equations
Akitoshi Takayasu, Kaname Matsue, Takiko Sasaki +3
This paper focuses on blow-up solutions of ordinary differential equations (ODEs). We present a method for validating blow-up solutions and their blow-up times, which is based on c…