Pub Date : 2020-01-01DOI: 10.4310/dpde.2020.v17.n1.a2
G. Deugoue, A. N. Ngana, T. T. Medjo
{"title":"On the strong solutions for a stochastic 2D nonlocal Cahn–Hilliard–Navier–Stokes model","authors":"G. Deugoue, A. N. Ngana, T. T. Medjo","doi":"10.4310/dpde.2020.v17.n1.a2","DOIUrl":"https://doi.org/10.4310/dpde.2020.v17.n1.a2","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"17 1","pages":"19-60"},"PeriodicalIF":1.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70426385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.4310/dpde.2020.v17.n4.a4
M. Krasnoschok, V. Pata, S. Siryk, Nataliya Vasylyeva
{"title":"Equivalent definitions of Caputo derivatives and applications to subdiffusion equations","authors":"M. Krasnoschok, V. Pata, S. Siryk, Nataliya Vasylyeva","doi":"10.4310/dpde.2020.v17.n4.a4","DOIUrl":"https://doi.org/10.4310/dpde.2020.v17.n4.a4","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"17 1","pages":"383-402"},"PeriodicalIF":1.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70426587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two-Dimensional Parabolic Equations","authors":"V. Henner, T. Belozerova, A. Nepomnyashchy","doi":"10.1201/9780429440908-9","DOIUrl":"https://doi.org/10.1201/9780429440908-9","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"53 7","pages":""},"PeriodicalIF":1.3,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72441297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. K. Henner, Tatyana Belozerova, Alexander Nepomnyashchy
{"title":"The Sturm-Liouville Problem","authors":"V. K. Henner, Tatyana Belozerova, Alexander Nepomnyashchy","doi":"10.1201/9780429440908-4","DOIUrl":"https://doi.org/10.1201/9780429440908-4","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"16 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89590820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two-Dimensional Hyperbolic Equations","authors":"V. Henner, T. Belozerova, A. Nepomnyashchy","doi":"10.1201/9780429440908-8","DOIUrl":"https://doi.org/10.1201/9780429440908-8","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"8 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76303989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"One-Dimensional Parabolic Equations","authors":"V. Henner, T. Belozerova, A. Nepomnyashchy","doi":"10.1201/9780429440908-6","DOIUrl":"https://doi.org/10.1201/9780429440908-6","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"26 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87092858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"First-Order Equations","authors":"V. Henner, T. Belozerova, A. Nepomnyashchy","doi":"10.1201/9780429440908-2","DOIUrl":"https://doi.org/10.1201/9780429440908-2","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"41 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73763781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"One-Dimensional Hyperbolic Equations","authors":"V. Henner, T. Belozerova, A. Nepomnyashchy","doi":"10.1201/9780429440908-5","DOIUrl":"https://doi.org/10.1201/9780429440908-5","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89355383","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Elliptic Equations","authors":"V. Henner, T. Belozerova, A. Nepomnyashchy","doi":"10.1201/9780429440908-7","DOIUrl":"https://doi.org/10.1201/9780429440908-7","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"39 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86840908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-11-20DOI: 10.1201/9780429440908-10
V. Henner, T. Belozerova, A. Nepomnyashchy
Newton’s method for solving a nonlinear equation f(x) = 0 can be generalized to the n-dimensional case. The value of the variable and the value of the function are now n-dimensional vectors, and when we can, we will write these as X and F (X) to remind us that they are no longer scalars. Since our examples will all be two dimensional, we may sometimes write (x, y) instead of X. The derivative now becomes the jacobian matrix (or simply, “the jacobian”), which we will write as the n× n matrix DF (X). The (i, j) entry is
{"title":"Nonlinear Equations","authors":"V. Henner, T. Belozerova, A. Nepomnyashchy","doi":"10.1201/9780429440908-10","DOIUrl":"https://doi.org/10.1201/9780429440908-10","url":null,"abstract":"Newton’s method for solving a nonlinear equation f(x) = 0 can be generalized to the n-dimensional case. The value of the variable and the value of the function are now n-dimensional vectors, and when we can, we will write these as X and F (X) to remind us that they are no longer scalars. Since our examples will all be two dimensional, we may sometimes write (x, y) instead of X. The derivative now becomes the jacobian matrix (or simply, “the jacobian”), which we will write as the n× n matrix DF (X). The (i, j) entry is","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":"145 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80634368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：