In this paper, we consider the convergence problem of Kawahara equationut+α∂x5u+β∂x3u+∂x(u2)=0 on real line with rough data. Firstly, by using Strichartz estimates as well high-low frequency idea, establish two crucial bilinear estimates, which are just Lemma 3.1, 3.2 in paper; also present proof 3.3 shows that s>−12 is necessary for 3.2. Secondly, truncated technique and technique, show pointw...

Abstract In this article, a numerical solution for the Rosenau-Kawahara equation is considered. A new conservative approximation scheme presented to solve initial boundary value problem of equation, which preserves original properties. The proposed based on finite difference method. existence solutions has been shown by Browder fixed point theorem. priori bound and error estimates, as well cons...

We consider the Kawahara equation, a fifth order Korteweg-de Vries type posed on bounded interval. The first result of article is related to well-posedness in weighted Sobolev spaces, which one was shown using general version Lax--Milgram Theorem. With respect control problems, we will prove two results. First, if region neighborhood right endpoint, an exact controllability spaces established. ...

157. Effect of Antimicrobial Stewardship Program (ASP) on Perioperative Antibiotic Use in Cardiovascular Surgery in Japanese Tertiary Hospital Hideaki Kato, MD; Hiroko Sosa; Yoshifumi Sugiyama; Haruyo Kawahara; Masaaki Mori, MD, PhD; Takayuki Kariya, MD; Masahide Ohtsuka, MD, PhD; Keiji Uchida, MD, PhD; Yoshiaki Ishigatsubo, MD, PhD; Takeshi Kaneko, MD, PhD; Infection Control Department, Yokoha...

We investigate the limit behavior of the solutions to the Kawahara equation ut + u3x + εu5x + uux = 0 , ε > 0 as ε → 0. In this equation, the terms u3x and εu5x do compete together and do cancel each other at frequencies of order 1/ √ ε. This prohibits the use of a standard dispersive approach for this problem. Nervertheless, by combining different dispersive approaches according to the range o...

<p style='text-indent:20px;'>In this paper, we are concerned with the existence of solitary waves for a generalized Kawahara equation, which is model equation describing solitary-wave propagation in media. We obtain some qualitative properties equilibrium points and results wave solutions without delay perturbation by employing phase space analysis. Furthermore two types special convoluti...