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Asymptotics for the Korteweg-de Vries-Burgers Equation

Acta Mathematica Sinica,English Series 2006年第5期22卷 1441-1456页

作者： nakao hayashi Pavel I.NAUMKIN Department of Mathematics Graduate School of ScienceOsaka UniversityOsakaToyonaka560-0043Japan Instituto de Matemáticas UNAM Campus MoreliaAP 61-3(Xangari)Morelia CP 58089MichoacánMexico

We study large time asymptotics of solutions to the Korteweg-de Vries-Burgers equation ut＋uux-uxx＋uxxx=0,x∈R,t〉0. We are interested in the large time asymptotics for the case when the initial data have an arbitrary size. We prove that if the initial data u0 ∈H^s （R）∩L^1 （R）, where s 〉 -1/2, then there exists a unique solution u （t, x） ∈C^∞ （（0,∞）;H^∞ （R）） to the Cauchy problem for the Korteweg-de Vries-Burgers equation, which has asymptotics u（t）=t^-1/2fM（（·）t^-1/2）＋0（t^-1/2） as t →∞, where fM is the self-similar solution for the Burgers equation. Moreover if xu0 （x） ∈ L^1 （R）, then the asymptotics are true u（t）=t^-1/2fM（（·）t^-1/2）＋O（t^-1/2-γ） where γ ∈ （0, 1/2）.

关键词： Korteweg-de Vries-Burgers equation asymptotics for large time large initial data

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4阶非线性薛定谔方程解的渐近行为（英文）

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数学进展 2017年第6期46卷 801-818页

作者：林仲夫 Pavel I.Naumkin 大阪大学理学研究生院数学系墨西哥国立自治大学莫雷利亚校区数学科学中心

本文综述了具有幂次非线性或耗散形式的非线性4阶薛定谔方程小振幅解的全局存在性和渐近行为的一些最新研究结果.考虑了散射问题的超临界非线性和临界非线性情况.

关键词： 4阶非线性薛定谔方程大时间渐进性临界非线性

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Simulation of Energy Consumption of Machine Tool Motion for 3-Axis Machining

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Journal of Energy and Power Engineering 2017年第1期11卷 37-43页

作者： Akio hayashi Zen Kimura Yohichi nakao Department of Mechanical Engineering Kanagawa University 3-27-1 Rokkaku-bashi Kanagawa-ku Yokohama 221-8686 Japan Department of Mechanical Engineering Graduate School of Kanagawa University 3-27-1 Rokkaku-bashi Kanagawa-kuYokohama 221-8686 Japan

In recent years, the shortage of the energy source is a serious problem in the world. Thus, the reduction of the energy consumption in manufacturing fields has been demanded. The energy consumption of NC machine tools has been also focused on. However, the energy consumption of the machine tool motion of each control axis during machining process has not been considered. In this study, we focus on the energy consumption during the machining process and we proposed the simulation model of the energy consumption of the feed drive systems of NC machine tool. Based on the proposed model, the energy consumption during the machining motion was simulated and evaluated. From these results, if the CAD/CAM systems can generate the tool paths considering about the energy consumption of NC machine tools, the energy consumption will be reduced without replacing or overhaul the machine tools.

关键词： Energy consumption machine tools tool path CAD/CAM.

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Borderline resectable for colorectal liver metastases:Present status and future perspective

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World Journal of Gastrointestinal Surgery 2021年第8期13卷 756-763页

作者： Yuki Kitano Hiromitsu hayashi Takashi Matsumoto Shotaro Kinoshita Hiroki Sato Yuta Shiraishi Yosuke nakao Takayoshi Kaida Katsunori Imai Yo-ichi Yamashita Hideo Baba Department of Gastroenterological Surgery Graduate School of Medical SciencesKumamoto UniversityKumamoto 860-8556Japan

Surgical resection for colorectal liver metastases(CRLM)may offer the best opportunity to improve ***,only about 20% of CRLM cases are indicated for resection at the time of diagnosis(initially resectable),and the remaining cases are treated as unresectable(initially unresectable).Thanks to recent remarkable developments in chemotherapy,interventional radiology,and surgical techniques,the resectability of CRLM is ***,some metastases are technically resectable but oncologically questionable for upfront *** pancreatic cancer,such cases are categorized as"borderline resectable",and their definition and treatment strategies are ***,in CRLM,although various poor prognosis factors have been identified in previous reports,no clear definition or treatment strategy for borderline resectable has yet been *** the efficacy of hepatectomy for CRLM was reported in the 1970 s,multidisciplinary treatment for unresectable cases has improved resectability and prognosis,and clarifying the definition and treatment strategy of borderline resectable CRLM should yield further improvement in *** review outlines the present status and the future perspective for borderline resectable CRLM,based on previous studies.

关键词： Borderline resectable Colorectal liver metastases Adjuvant chemotherapy Hepatectomy Colorectal cancer

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Risk factors for lymph node metastasis in patients with pancreatic neuroendocrine neoplasms

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World Journal of Clinical Oncology 2022年第6期13卷 520-528页

作者： Yosuke nakao Hiromitsu hayashi Yo-ichi Yamashita Ofuchi Takashi Kazuki Matsumura Norio Uemura Fumimasa Kitamura Rumi Itoyama Toshihiko Yusa Katsunobu Taki Tatsunori Miyata Takaaki Higashi Shigeki Nakagawa Hirohisa Okabe Katsunori Imai Hideo Baba Department of Gastroenterological Surgery Kumamoto UniversityKumamoto 860-8556Japan

BACKGROUND Although PNENs generally have a better prognosis than pancreatic cancers,some PNENs display malignant behavior including lymph node(LN)*** tumor resection can be the only potentially curative treatment for patients with resectable ***,the indications for LN dissection are still *** the last decade,minimally invasive surgery such as laparoscopic pancreatic surgery(LPS)has been increasingly performed for pancreatic tumors including *** To investigate the risk factors for LN metastasis in PNENs and to select appropriate patients for limited surgery by *** From April 2001 to December 2019,92 patients underwent pancreatic resection for PNENs at Kumamoto University ***,82 patients were enrolled in this *** perioperative factors,we examined the predictive factors for LN metastasis in *** Among the 82 patients,the percentage of LN metastasis according to the pathological findings was 12%(10/82 cases).The median tumor size was 12 mm(range:5-90 mm).The median tumor size in the LN-positive group(37 mm)was significantly larger than that in the LN-negative group(12 mm)(P=0.0001).Multivariate analyses revealed that larger tumor size(≥20 mm)was an independent risk factor for LN metastasis(odds ratio 16.8,P=0.0062).In patients with small tumors(≤10 mm),LN metastasis was not *** Larger tumor size(≥20 mm)is an independent risk factor for LN metastasis in *** smaller PNENs(≤10 mm),we may be able to choose limited surgery without LN dissection.

关键词： Lymph node metastasis Pancreatic neuroendocrine neoplasms Risk factor Tumor size

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