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Determinants of successful mitigation in coupled social-climate dynamics 在社会-气候耦合动力学中成功减缓气候变化的决定因素
Proceedings of the Royal Society A Pub Date : 2023-09-14 DOI: 10.1098/rspa.2023.0679
Longmei Shu, Feng Fu
{"title":"Determinants of successful mitigation in coupled social-climate dynamics","authors":"Longmei Shu, Feng Fu","doi":"10.1098/rspa.2023.0679","DOIUrl":"https://doi.org/10.1098/rspa.2023.0679","url":null,"abstract":"Understanding the impact of human behaviour is crucial for successful mitigation of climate change across the globe. To shed light onto this issue, here we couple the forest dieback model with human behaviours. Using evolutionary game theory, we build a time-delay system where forest growth is impacted by both temperature and human mitigation choices, the latter being informed by temperature forecasts. Simulations of the coupled system over 200 years show us the varying outcomes: forest dies out and no one is a mitigator, forest dies out and everyone is a mitigator, or the forest survives and everyone is a mitigator. There exist rare cases where no one is a mitigator and yet the forest survives, but with a low coverage. We also find occasional oscillations where the proportion of mitigators vary between 0 and 1. Our results are based on simple models but have profound insights into determinants of behaviour changes desired in social-climate dynamics.","PeriodicalId":509915,"journal":{"name":"Proceedings of the Royal Society A","volume":"54 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139340278","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}
引用次数: 0
Bounds of the technical constants for two-dimensional anisotropic elasticity 二维各向异性弹性技术常数的界限
Proceedings of the Royal Society A Pub Date : 2023-09-08 DOI: 10.1098/rspa.2023.0662
P. Vannucci
{"title":"Bounds of the technical constants for two-dimensional anisotropic elasticity","authors":"P. Vannucci","doi":"10.1098/rspa.2023.0662","DOIUrl":"https://doi.org/10.1098/rspa.2023.0662","url":null,"abstract":"The complete set of bounds for the technical constants of an elastic layer, plate or laminate is given. The bounds are valid in general, also for completely anisotropic bodies. They are obtained transforming the polar bounds previously found. These bounds complete the knowledge of classical elasticity at least in the two-dimensional case and are useful in several situations, e.g. for determining the correct feasibility domain in design problems or as necessary conditions for accepting the results of laboratory tests on anisotropic layers.","PeriodicalId":509915,"journal":{"name":"Proceedings of the Royal Society A","volume":"150 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139341621","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}
引用次数: 0
The theory of fifth-order Stokes waves in a linear shear current 线性剪切流中的五阶斯托克斯波理论
Proceedings of the Royal Society A Pub Date : 2023-08-06 DOI: 10.1098/rspa.2023.0565
Haiqi Fang, Philip L.-F. Liu, Lian Tang, P. Lin
{"title":"The theory of fifth-order Stokes waves in a linear shear current","authors":"Haiqi Fang, Philip L.-F. Liu, Lian Tang, P. Lin","doi":"10.1098/rspa.2023.0565","DOIUrl":"https://doi.org/10.1098/rspa.2023.0565","url":null,"abstract":"In this study, a new set of fifth-order Stokes wave solutions, incorporating the effects of a linear shear current, is derived by using the perturbation method originally proposed for pure waves that was recently published. The present solutions are checked against the existing experimental data, the third-order stream function solutions, as well as the numerical results. The comparisons demonstrate that the present solutions are more accurate in describing the velocity distributions during wave propagation, especially in strong following currents and negative vorticity conditions. Subsequently, the present solutions are used to investigate the fluid particle trajectories for different wave–current interaction conditions. The results indicate that the background vorticity can alter the patterns of fluid particle trajectories and the direction of Stokes drifts.","PeriodicalId":509915,"journal":{"name":"Proceedings of the Royal Society A","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139351545","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}
引用次数: 0
Paraxial Dirac equation 同轴狄拉克方程
Proceedings of the Royal Society A Pub Date : 2023-07-07 DOI: 10.1098/rspa.2023.0493
Tomasz Rado.zycki
{"title":"Paraxial Dirac equation","authors":"Tomasz Rado.zycki","doi":"10.1098/rspa.2023.0493","DOIUrl":"https://doi.org/10.1098/rspa.2023.0493","url":null,"abstract":"In this work, the paraxial approximation of the free Dirac equation is examined. The results are first obtained by constructing superpositions of exact solutions with suitable profiles, which are borrowed from paraxial optics. In this manner, the paraxial Dirac beams are obtained in four cases: as Gaussian, Bessel-Gaussian, modified Bessel-Gaussian and elegant Laguerre-Gaussian beams. In the second part of the work, the paraxial Dirac equation is derived, and then its solutions in the aforementioned cases are directly obtained. All the resulting wave functions conform to those derived formerly by virtue of superpositions, except for terms that are negligible upon the assumption that the paraxial functions along the propagation axis vary only slightly over a distance equal to the de Broglie wavelength, which is the standard paraxial requirement.","PeriodicalId":509915,"journal":{"name":"Proceedings of the Royal Society A","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139361927","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}
引用次数: 0
Some remarks on the solution of the cell growth equation 关于细胞生长方程解法的几点评论
Proceedings of the Royal Society A Pub Date : 2023-07-06 DOI: 10.1098/rspa.2023.0534
A. Mirotin
{"title":"Some remarks on the solution of the cell growth equation","authors":"A. Mirotin","doi":"10.1098/rspa.2023.0534","DOIUrl":"https://doi.org/10.1098/rspa.2023.0534","url":null,"abstract":"A process of growth and division of cells is modelled by an initial boundary value problem that involves a first-order linear functional partial differential equation, the so-called sell growth equation. The analytical solution to this problem was given in the paper Zaidi et al. (Zaidi et al. 2015 Solutions to an advanced functional partial differential equation of the pantograph type (Proc. R. Soc. A 471, 20140947 (doi:10.1098/rspa.2014.0947)). In this note, we simplify the arguments given in the paper mentioned above by using the theory of operator semigroups. This theory enables us to prove the existence and uniqueness of the solution and to express this solution in terms of Dyson–Phillips series. The asymptotics of the solution is also discussed from the point of view of the theory of operator semigroups.","PeriodicalId":509915,"journal":{"name":"Proceedings of the Royal Society A","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139362444","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}
引用次数: 0
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