GLOBAL EXISTENCE AND DECAY ESTIMATES OFSOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM OFDRIFT-DIFFUSION TYPE IN R~2

TOSHITAKA NAGAI

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GLOBAL EXISTENCE AND DECAY ESTIMATES OFSOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM OFDRIFT-DIFFUSION TYPE IN R~2

机译：R〜2中一类抛物-椭圆型扩散方程组的整体解的衰减估计

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摘要

We consider a parabolic-elliptic system of drift-diffusion type in the entire two-dimensional Euclidean space, modeling chemotaxis and self-attracting particles. Under the assumption that the total mass of nonnegative initial data is less than 8π, we give global existence and decay estimates of nonnegative solutions to the Cauchy problem for this system.

机译：我们考虑了在整个二维欧几里德空间中具有漂移扩散型的抛物线-椭圆系统，对趋化性和自吸引粒子进行建模。在非负初始数据的总质量小于8π的假设下，我们给出了该系统Cauchy问题的非负解的整体存在性和衰减估计。

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来源
《Differential and integral equations》 |2011年第2期|共40页
作者
TOSHITAKA NAGAI;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
assumption; space; chemotaxis;

机译：假设;空间;趋化性;

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专利

1. GLOBAL EXISTENCE AND DECAY ESTIMATES OFSOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM OFDRIFT-DIFFUSION TYPE IN R~2 [J] . TOSHITAKA NAGAI Differential and integral equations . 2011,第1a2期

机译：R〜2中一类抛物-椭圆型扩散方程组的整体解的衰减估计
2. Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms [J] . YaojunYe Abstract and applied analysis . 2013,第8期

机译：阻尼和源术语的非线性波动方程系统的存在与衰减估计
3. Global existence and optimal temporal decay estimates for systems of parabolic conservation laws. II. The multidimensional case [J] . Jeffrey A., Zhao HJ. Journal of Mathematical Analysis and Applications . 1998,第2期

机译：抛物守恒律系统的整体存在和最优时间衰减估计。二。多维案例
4. WELL-POSEDNESS, GLOBAL EXISTENCE AND DECAY ESTIMATES FOR THE HEAT EQUATION WITH GENERAL POWER-EXPONENTIAL NONLINEARITIES [C] . Mohamed Majdoub, Slim Tayachi International Congress of Mathematicians . 2018

机译：具有通用功率指数非线性的热方程的良好，全球存在和衰变估计
5. Global existence for systems of mixed hyperbolic-parabolic type, with discontinuous initial data. [D] . Tsyganov, Eugene Nicolaevich. 2003

机译：混合双曲-抛物线型系统的全局存在，具有不连续的初始数据。
6. Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation [O] . Daewook Kim, Dojin Kim, Keum-Shik Hong, -1

机译：具有非线性耗散的Kirchhoff型波动方程的整体存在和能量衰减率
7. Global existence and boundedness in a quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type [O] . 2016

机译：抛物线-椭圆型拟线性吸引-排斥趋化系统的整体存在性和有界性

GLOBAL EXISTENCE AND DECAY ESTIMATES OFSOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM OFDRIFT-DIFFUSION TYPE IN R~2

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