Pub Date : 2022-07-11DOI: 10.1007/s42985-022-00182-3
D. Perrella, D. Pfefferlé, L. Stoyanov
{"title":"Rectifiability of divergence-free fields along invariant 2-tori","authors":"D. Perrella, D. Pfefferlé, L. Stoyanov","doi":"10.1007/s42985-022-00182-3","DOIUrl":"https://doi.org/10.1007/s42985-022-00182-3","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"36 1","pages":"1-32"},"PeriodicalIF":0.0,"publicationDate":"2022-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76340900","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 : 2022-07-11DOI: 10.1007/s42985-022-00189-w
A. Medaglia, A. Tosin, M. Zanella
{"title":"Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties","authors":"A. Medaglia, A. Tosin, M. Zanella","doi":"10.1007/s42985-022-00189-w","DOIUrl":"https://doi.org/10.1007/s42985-022-00189-w","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"62 1","pages":"1-30"},"PeriodicalIF":0.0,"publicationDate":"2022-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85659330","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 : 2022-07-06DOI: 10.1007/s42985-022-00186-z
M. Winkler
{"title":"Oscillatory decay in a degenerate parabolic equation","authors":"M. Winkler","doi":"10.1007/s42985-022-00186-z","DOIUrl":"https://doi.org/10.1007/s42985-022-00186-z","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"47 1","pages":"1-15"},"PeriodicalIF":0.0,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82157695","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 : 2022-07-01DOI: 10.1007/s42985-022-00183-2
S. Gustafson, Takahisa Inui
{"title":"Threshold odd solutions to the nonlinear Schrödinger equation in one dimension","authors":"S. Gustafson, Takahisa Inui","doi":"10.1007/s42985-022-00183-2","DOIUrl":"https://doi.org/10.1007/s42985-022-00183-2","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"105 1","pages":"1-45"},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89089507","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 : 2022-06-30DOI: 10.1007/s42985-022-00188-x
S. Cygan, A. Marciniak-Czochra, G. Karch
{"title":"Discontinuous stationary solutions to certain reaction-diffusion systems","authors":"S. Cygan, A. Marciniak-Czochra, G. Karch","doi":"10.1007/s42985-022-00188-x","DOIUrl":"https://doi.org/10.1007/s42985-022-00188-x","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"53 14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88794310","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 : 2022-06-08DOI: 10.1007/s42985-021-00100-z
P. Grohs, Arnulf Jentzen, Diyora Salimova
{"title":"Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms","authors":"P. Grohs, Arnulf Jentzen, Diyora Salimova","doi":"10.1007/s42985-021-00100-z","DOIUrl":"https://doi.org/10.1007/s42985-021-00100-z","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"13 11 1","pages":"1-41"},"PeriodicalIF":0.0,"publicationDate":"2022-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76026149","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 : 2022-06-06DOI: 10.1007/s42985-022-00209-9
Miguel A. Alejo, M. Cavalcante, A. Corcho
{"title":"Stability of mKdV breathers on the half-line","authors":"Miguel A. Alejo, M. Cavalcante, A. Corcho","doi":"10.1007/s42985-022-00209-9","DOIUrl":"https://doi.org/10.1007/s42985-022-00209-9","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"56 1","pages":"1-21"},"PeriodicalIF":0.0,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73783470","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 : 2022-05-21DOI: 10.1007/s42985-022-00218-8
L. Espath
{"title":"A continuum framework for phase field with bulk-surface dynamics","authors":"L. Espath","doi":"10.1007/s42985-022-00218-8","DOIUrl":"https://doi.org/10.1007/s42985-022-00218-8","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"29 1","pages":"1-17"},"PeriodicalIF":0.0,"publicationDate":"2022-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78762252","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 : 2022-05-19DOI: 10.1007/s42985-022-00178-z
A. Haar, P. Radu
{"title":"A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon","authors":"A. Haar, P. Radu","doi":"10.1007/s42985-022-00178-z","DOIUrl":"https://doi.org/10.1007/s42985-022-00178-z","url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"111 1","pages":"1-20"},"PeriodicalIF":0.0,"publicationDate":"2022-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77248194","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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