- 1、本文档共19页,可阅读全部内容。
- 2、有哪些信誉好的足球投注网站(book118)网站文档一经付费(服务费),不意味着购买了该文档的版权,仅供个人/单位学习、研究之用,不得用于商业用途,未经授权,严禁复制、发行、汇编、翻译或者网络传播等,侵权必究。
- 3、本站所有内容均由合作方或网友上传,本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺!文档内容仅供研究参考,付费前请自行鉴别。如您付费,意味着您自己接受本站规则且自行承担风险,本站不退款、不进行额外附加服务;查看《如何避免下载的几个坑》。如果您已付费下载过本站文档,您可以点击 这里二次下载。
- 4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等,请点击“版权申诉”(推荐),也可以打举报电话:400-050-0827(电话支持时间:9:00-18:30)。
- 5、该文档为VIP文档,如果想要下载,成为VIP会员后,下载免费。
- 6、成为VIP后,下载本文档将扣除1次下载权益。下载后,不支持退款、换文档。如有疑问请联系我们。
- 7、成为VIP后,您将拥有八大权益,权益包括:VIP文档下载权益、阅读免打扰、文档格式转换、高级专利检索、专属身份标志、高级客服、多端互通、版权登记。
- 8、VIP文档为合作方或网友上传,每下载1次, 网站将根据用户上传文档的质量评分、类型等,对文档贡献者给予高额补贴、流量扶持。如果你也想贡献VIP文档。上传文档
查看更多
GLOBAL EXISTENCE FOR A KINETIC MODEL OF
CHEMOTAXIS VIA DISPERSION AND STRICHARTZ
ESTIMATES.
´
NIKOLAOS BOURNAVEAS, VINCENT CALVEZ, SUSANA GUTIERREZ,
ˆ
AND BENOIT PERTHAME
Abstract. We investigate further the existence of solutions to kinetic mod-
els of chemotaxis. These are nonlinear transport-scattering equations with a
quadratic nonlinearity which have been used to describe the motion of bacte-
ria since the 80’s when experimental observations have shown they move by
a series of ’run and tumble’. The existence of solutions has been obtained in
several papers [CMPS, HKS1, HKS3] using direct and strong dispersive effects.
Here, we use the weak dispersion estimates of [CP] to prove global existence
in various situations depending on the turning kernel. In the most difficult
cases, where both the velocities before and after tumbling appear, with the
known methods, only Strichartz estimates can give a result, with a smallness
assumption.
To appear in CPDE
1. Introduction
In this paper we study the Othmer-Dunbar-Alt kinetic model of chemotaxis and
prove global existence of solutions under various assumptions on the turning kernel.
This model was proposed in [Alt, ODA] for the description of the chemotactic
movement of cells in the presence of a chemical substance and it can be thought of as
the mesoscopic analogue of the famous Keller-Segel model [KS1, KS2, KS3, H, P3].
It was proposed in the 80’s, after the experimental obser
您可能关注的文档
- Genetic influences on brain structure - imaginggenetics.org.pdf
- Genetic Properties Influencing the Evolvability of Gene.pdf
- Genital Findings of Women After Consensual and Nonconsensual.pdf
- Genocide and Land strongScarcitystrong Can Rwandan Rural Households.pdf
- Genome sequencing in microfabricated high-density picolitre.pdf
- Genome sequencing reveals agronomically important loci in rice.pdf
- Genome-wide association studies of 14 agronomic traits in rice.pdf
- Genome-wide association study of leaf architecture in the.pdf
- Genome-Wide Mapping of in Vivo Protein-DNA Interactions.pdf
- Genome-wide probing of RNA structure reveals active unfolding.pdf
文档评论(0)