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Indiana University Mathematics Journal最新文献

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On the Cauchy problem of the full Navier-Stokes equations for three-dimensional compressible viscous heat-conducting flows subject to large external potential forces 大外力作用下三维可压缩粘性热传导流的全Navier-Stokes方程的Cauchy问题
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8867
Changzhen Song, Xinying Xu, Jianwen Zhang
{"title":"On the Cauchy problem of the full Navier-Stokes equations for three-dimensional compressible viscous heat-conducting flows subject to large external potential forces","authors":"Changzhen Song, Xinying Xu, Jianwen Zhang","doi":"10.1512/iumj.2022.71.8867","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8867","url":null,"abstract":"Abstract. In this paper, we consider the Cauchy problem of the full Navier-Stokes equations for three-dimensional compressible viscous heat-conducting flows subject to external potential forces in the whole space R3 . For discontinuous data with small energy and vacuum, the global “intermediate weak” solutions with large oscillations and large external potential forces are obtained, provided the unique steady state is strictly away from vacuum. Moreover, if ‖∇ρ0‖L2∩Lp with any p ∈ (3, 6), ‖∇u0‖L3 and ‖∇θ0‖L2 are bounded, then the weak solution becomes a strong one belonging to a class of functions in which the uniqueness can be shown to hold, when the density is strictly away from vacuum and the viscosity coefficients satisfy 7μ > λ additionally.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"69 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On spectra and spectral eigenmatrix problems of the planar Sierpinski measures 平面Sierpinski测度的谱和谱特征矩阵问题
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8873
Li-Xiang An, Xin-Han Dong, Xinggang He
{"title":"On spectra and spectral eigenmatrix problems of the planar Sierpinski measures","authors":"Li-Xiang An, Xin-Han Dong, Xinggang He","doi":"10.1512/iumj.2022.71.8873","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8873","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinte time aggregation 多物种种群临界质量patak - keller - segel系统:全局存在与无限时间聚集
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.9188
D. Karmakar, G. Wolansky
{"title":"On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinte time aggregation","authors":"D. Karmakar, G. Wolansky","doi":"10.1512/iumj.2022.71.9188","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9188","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions 次线性非线性椭圆方程:解的定性行为
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.9168
N. Ikoma, Kazunaga Tanaka, Zhi-Qiang Wang, Chengxiang Zhang
{"title":"Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions","authors":"N. Ikoma, Kazunaga Tanaka, Zhi-Qiang Wang, Chengxiang Zhang","doi":"10.1512/iumj.2022.71.9168","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9168","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Existence of global weak solutions to the Navier-Stokes equations in weighted spaces 加权空间中Navier-Stokes方程整体弱解的存在性
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8789
Z. Bradshaw, I. Kukavica, Tai-Peng Tsai
{"title":"Existence of global weak solutions to the Navier-Stokes equations in weighted spaces","authors":"Z. Bradshaw, I. Kukavica, Tai-Peng Tsai","doi":"10.1512/iumj.2022.71.8789","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8789","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66764853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Existence, uniqueness and asymptotic behavior of regular time-periodic solutions to the Navier-Stokes equations around a moving body: rotational case 运动物体周围Navier-Stokes方程正则时间周期解的存在唯一性和渐近性:旋转情况
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.9075
G. Galdi
{"title":"Existence, uniqueness and asymptotic behavior of regular time-periodic solutions to the Navier-Stokes equations around a moving body: rotational case","authors":"G. Galdi","doi":"10.1512/iumj.2022.71.9075","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9075","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"20 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Random homogenization of phi-Laplacian equations with highly oscillating obstacles 具有高振荡障碍的拉普拉斯方程的随机均匀化
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.9220
Ki-ahm Lee, Se-Chan Lee
{"title":"Random homogenization of phi-Laplacian equations with highly oscillating obstacles","authors":"Ki-ahm Lee, Se-Chan Lee","doi":"10.1512/iumj.2022.71.9220","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9220","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global stability of rarefaction wave for the outflow problem governed by the radiative Euler equations 辐射欧拉方程下外流问题稀疏波的全局稳定性
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8925
Lili Fan, Lizhi Ruan, Wei Xiang
{"title":"Global stability of rarefaction wave for the outflow problem governed by the radiative Euler equations","authors":"Lili Fan, Lizhi Ruan, Wei Xiang","doi":"10.1512/iumj.2022.71.8925","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8925","url":null,"abstract":"This paper is devoted to the study of the initial-boundary value problem for the radiative full Euler equations, which are a fundamental system in the radiative hydrodynamics with many practical applications in astrophysical and nuclear phenomena. It turns out that the pattern of the asymptotic states is not unique and depends on the data both on the boundary and at the far field. In this paper, we focus our attention on the outflow problem when the flow velocity on the boundary is negative, and give a rigorous proof of the asymptotic stability of the rarefaction wave without restrictions on the smallness of the wave strength. Different from our previous work on the inflow problem for the radiative Euler equations in [6], lack of boundary conditions on the density and velocity prevents us from applying the integration by part to derive the energy estimates directly. So the outflow problem is more challenging in mathematical analysis than the inflow problem studied in [6]. New weighted energy estimates are introduced and the trace of the density and velocity on the boundary are handled by some subtle analysis. The weight is chosen based on the new observation on the key decay properties of the smooth rarefaction wave. Our investigations on the inflow and outflow problem provide a good understanding on the radiative effect and boundary effect in the setting of rarefaction wave.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"61 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergence to a traveling wave in the lgarithmic diffusion equation with a bistable nonlinearity 双稳非线性代数扩散方程的行波收敛性
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8850
Hiroshi Matsuzawa, H. Monobe, M. Shimojo, E. Yanagida
{"title":"Convergence to a traveling wave in the lgarithmic diffusion equation with a bistable nonlinearity","authors":"Hiroshi Matsuzawa, H. Monobe, M. Shimojo, E. Yanagida","doi":"10.1512/iumj.2022.71.8850","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8850","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Generalized Kato classes and exceptional zero conjectures 广义Kato类与例外零猜想
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8921
Oscar Rivero Salgado
{"title":"Generalized Kato classes and exceptional zero conjectures","authors":"Oscar Rivero Salgado","doi":"10.1512/iumj.2022.71.8921","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8921","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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