Pub Date : 2021-01-01DOI: 10.4310/maa.2021.v28.n4.a3
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
{"title":"Study of boundary layers in compressible non-isentropic flows","authors":"Cheng-Jie Liu, Ya-Guang Wang, Tong Yang","doi":"10.4310/maa.2021.v28.n4.a3","DOIUrl":"https://doi.org/10.4310/maa.2021.v28.n4.a3","url":null,"abstract":"","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70489314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.4310/maa.2021.v28.n2.a6
Yinbin Deng, Huirong Pi, W. Shuai
{"title":"Multiple solutions for logarithmic Schrödinger equations with critical growth","authors":"Yinbin Deng, Huirong Pi, W. Shuai","doi":"10.4310/maa.2021.v28.n2.a6","DOIUrl":"https://doi.org/10.4310/maa.2021.v28.n2.a6","url":null,"abstract":"","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70489202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.4310/maa.2021.v28.n4.a2
Shuang-Xian Liu, Y. Lou
{"title":"Ecological and evolutionary dynamics in periodic and advective habitats","authors":"Shuang-Xian Liu, Y. Lou","doi":"10.4310/maa.2021.v28.n4.a2","DOIUrl":"https://doi.org/10.4310/maa.2021.v28.n4.a2","url":null,"abstract":"","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70489266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.4310/maa.2021.v28.n4.a5
Hongyun Peng, Changjiang Zhu
{"title":"Hsiao–Liu correction functions and their applications","authors":"Hongyun Peng, Changjiang Zhu","doi":"10.4310/maa.2021.v28.n4.a5","DOIUrl":"https://doi.org/10.4310/maa.2021.v28.n4.a5","url":null,"abstract":"","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70489379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.4310/maa.2021.v28.n3.a7
Yueling Jia, Song Jiang, Jun-bo Cheng
{"title":"A fully compatible staggered Lagrangian algorithm for elastic-plastic flows utilizing the conservation of total energy","authors":"Yueling Jia, Song Jiang, Jun-bo Cheng","doi":"10.4310/maa.2021.v28.n3.a7","DOIUrl":"https://doi.org/10.4310/maa.2021.v28.n3.a7","url":null,"abstract":"","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70489419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.4310/maa.2022.v29.n2.a3
N. Krylov
In this paper we deal with the heat equation with drift in $L_{d+1}$. Basically, we prove that, if the free term is in $L_{q}$ with high enough $q$, then the equation is uniquely solvable in a rather unusual class of functions such that $partial_{t}u, D^{2}uin L_{p}$ with $p
{"title":"On the heat equation with drift in $L_{d+1}$","authors":"N. Krylov","doi":"10.4310/maa.2022.v29.n2.a3","DOIUrl":"https://doi.org/10.4310/maa.2022.v29.n2.a3","url":null,"abstract":"In this paper we deal with the heat equation with drift in $L_{d+1}$. Basically, we prove that, if the free term is in $L_{q}$ with high enough $q$, then the equation is uniquely solvable in a rather unusual class of functions such that $partial_{t}u, D^{2}uin L_{p}$ with $p","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43989217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.4310/maa.2021.v28.n3.a2
Guiqiong Gong, Zhendong Xu, Huijiang Zhao
{"title":"Contact discontinuity for a viscous radiative and reactive gas with large initial perturbation","authors":"Guiqiong Gong, Zhendong Xu, Huijiang Zhao","doi":"10.4310/maa.2021.v28.n3.a2","DOIUrl":"https://doi.org/10.4310/maa.2021.v28.n3.a2","url":null,"abstract":"","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70489286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.4310/maa.2021.v28.n3.a4
Daoyin He, I. Witt, Huicheng Yin
{"title":"Finite time blowup for the 1-D semilinear generalized Tricomi equation with subcritical or critical exponents","authors":"Daoyin He, I. Witt, Huicheng Yin","doi":"10.4310/maa.2021.v28.n3.a4","DOIUrl":"https://doi.org/10.4310/maa.2021.v28.n3.a4","url":null,"abstract":"","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70489339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.4310/maa.2021.v28.n2.a2
Yue Cao, Yachun Li, Shengguo Zhu
{"title":"Local classical solutions to the full compressible Navier–Stokes system with temperature-dependent heat conductivity","authors":"Yue Cao, Yachun Li, Shengguo Zhu","doi":"10.4310/maa.2021.v28.n2.a2","DOIUrl":"https://doi.org/10.4310/maa.2021.v28.n2.a2","url":null,"abstract":"","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70489145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.4310/maa.2021.v28.n4.a6
C. Qian, Ping Zhang
{"title":"Global well-posedness of 3D incompressible inhomogeneous Navier–Stokes equations","authors":"C. Qian, Ping Zhang","doi":"10.4310/maa.2021.v28.n4.a6","DOIUrl":"https://doi.org/10.4310/maa.2021.v28.n4.a6","url":null,"abstract":"","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70489442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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