Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences最新文献_第3页

Steklov eigenvalues of nearly hyperspherical domains 近超球面域的斯特克洛夫特征值

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-03 DOI: 10.1098/rspa.2023.0734

Chee Han Tan, Robert Viator

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Quasi-steady-state modelling and characterization of diffusion-controlled dissolution from polydisperse spheroidal particles, II: characterization 多分散球形颗粒扩散控制溶解的准稳态建模和表征，II：表征

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-27 DOI: 10.1098/rspa.2023.0768

Yanxing Wang, Hui Wan, Cody Barka, Tie Wei, Fangjun Shu

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Structural identifiability analysis of linear reaction–advection–diffusion processes in mathematical biology 数学生物学中线性反应-平流-扩散过程的结构可识别性分析

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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-27 DOI: 10.1098/rspa.2023.0911

Alexander P. Browning, Maria Taşcă, Carles Falcó, Ruth E. Baker

{"title":"Structural identifiability analysis of linear reaction–advection–diffusion processes in mathematical biology","authors":"Alexander P. Browning, Maria Taşcă, Carles Falcó, Ruth E. Baker","doi":"10.1098/rspa.2023.0911","DOIUrl":"https://doi.org/10.1098/rspa.2023.0911","url":null,"abstract":"Effective application of mathematical models to interpret biological data and make accurate predictions often requires that model parameters are identifiable. Approaches to assess the so-called structural identifiability of models are well established for ordinary differential equation models, yet there are no commonly adopted approaches that can be applied to assess the structural identifiability of the partial differential equation (PDE) models that are requisite to capture spatial features inherent to many phenomena. The differential algebra approach to structural identifiability has recently been demonstrated to be applicable to several specific PDE models. In this brief article, we present general methodology for performing structural identifiability analysis on partially observed reaction–advection–diffusion PDE models that are linear in the unobserved quantities. We show that the differential algebra approach can always, in theory, be applied to such models. Moreover, despite the perceived complexity introduced by the addition of advection and diffusion terms, consideration of spatial analogues of non-spatial models cannot exacerbate structural identifiability. We conclude by discussing future possibilities and the computational cost of performing structural identifiability analysis on more general PDE models.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"20 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140314385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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A mathematical model of thermoplastic elastomers for analysing the topology of microstructures and mechanical properties during elongation 用于分析伸长过程中微结构拓扑和机械性能的热塑性弹性体数学模型

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-27 DOI: 10.1098/rspa.2023.0389

Hiroki Kodama, Hiroshi Morita, Motoko Kotani

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The Robin boundary condition for modelling heat transfer 模拟传热的罗宾边界条件

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-27 DOI: 10.1098/rspa.2023.0850

Eduard Marušić-Paloka, Igor Pažanin

{"title":"The Robin boundary condition for modelling heat transfer","authors":"Eduard Marušić-Paloka, Igor Pažanin","doi":"10.1098/rspa.2023.0850","DOIUrl":"https://doi.org/10.1098/rspa.2023.0850","url":null,"abstract":"The heat exchange between a rigid body and a fluid is usually modelled by the Robin boundary condition saying that the heat flux through the interface is proportional to the difference between their temperatures. Such interface law describes only the unilateral heat exchange. The goal of this paper is to compare the Robin boundary condition starting with the transmission condition (the temperature and the flux continuity) using rigorous mathematical analysis. Our main results are the following. We first show that a generalized version of the Robin boundary condition can be justified. Second, we prove that replacing the generalized by the standard Robin condition can be justified for high convection velocity if the conductivity of the surrounding liquid is much lower than that of the body. On the other hand, if the fluid conducts much better than the body, then the effective boundary condition is shown not to be the Robin one, but it involves second-order derivatives. We strongly believe that those findings bring new insights to the physics of the heat exchange processes and, thus, could prove useful in engineering practice.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"46 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140314739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems 用福卡斯方法求聚焦非线性薛定谔方程的周期有限带解：逆问题和直接问题

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-27 DOI: 10.1098/rspa.2023.0828

Dmitry Shepelsky, Iryna Karpenko, Stepan Bogdanov, Jaroslaw E. Prilepsky

{"title":"Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems","authors":"Dmitry Shepelsky, Iryna Karpenko, Stepan Bogdanov, Jaroslaw E. Prilepsky","doi":"10.1098/rspa.2023.0828","DOIUrl":"https://doi.org/10.1098/rspa.2023.0828","url":null,"abstract":"We consider the Riemann–Hilbert (RH) approach to the construction of periodic finite-band solutions to the focusing nonlinear Schrödinger (NLS) equation. An RH problem for the solution of the finite-band problem has been recently derived via the Fokas method (Deconinck et al. 2021 Lett. Math. Phys. 111, 1–18. (doi:10.1007/s11005-021-01356-7); Fokas & Lenells. 2021 Proc. R. Soc. A 477, 20200605. (doi:10.1007/s11005-021-01356-7)) Building on this method, a finite-band solution to the NLS equation can be given in terms of the solution of an associated RH problem, the jump conditions for which are characterized by specifying the endpoints of the arcs defining the contour of the RH problem and the constants (so-called phases) involved in the jump matrices. In our work, we solve the problem of retrieving the phases given the solution of the NLS equation evaluated at a fixed time. Our findings are corroborated by numerical examples of phases computation, demonstrating the viability of the method proposed.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"38 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140316847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Variational implicit solvation with Legendre-transformed Poisson–Boltzmann electrostatics 用 Legendre 变换的泊松-玻尔兹曼静电进行变量隐式求解

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-27 DOI: 10.1098/rspa.2023.0731

Zunding Huang, Bo Li

{"title":"Variational implicit solvation with Legendre-transformed Poisson–Boltzmann electrostatics","authors":"Zunding Huang, Bo Li","doi":"10.1098/rspa.2023.0731","DOIUrl":"https://doi.org/10.1098/rspa.2023.0731","url":null,"abstract":"The variational implicit-solvent model (VISM) is an efficient approach to biomolecular interactions, where electrostatic interactions are crucial. The total VISM free energy of a dielectric boundary (i.e. solute–solvent interface) consists of the interfacial energy, solute–solvent interaction energy and dielectric electrostatic energy. The last part is the maximum value of the classical and concave Poisson–Boltzmann (PB) energy functional of electrostatic potentials, with the maximizer being the equilibrium electrostatic potential governed by the PB equation. For the consistency of energy minimization and computational stability, here we propose alternatively to minimize the convex Legendre-transformed Poisson–Boltzmann (LTPB) electrostatic energy functional of all dielectric displacements constrained by Gauss’ Law in the solute region. Both integrable and discrete solute charge densities are treated, and the duality of the LTPB and PB functionals is established. A penalty method is designed for the constrained minimization of the LTPB functional. In application to biomolecular interactions, we minimize the total VISM free energy iteratively, while in each step of such iteration, minimize the LTPB energy. Convergence of such a min–min algorithm is shown. Our numerical results on the solvation of a single ion indicate that the LTPB performs better than the PB formulation, providing possibilities for efficient biomolecular simulations.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"3 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140314388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Data-driven discovery of invariant measures 数据驱动的不变量测量发现

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-27 DOI: 10.1098/rspa.2023.0627

Jason J. Bramburger, Giovanni Fantuzzi

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Scattering of surface waves by inhomogeneities in crystalline structures 晶体结构中的不均匀性对表面波的散射

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-20 DOI: 10.1098/rspa.2023.0683

Basant Lal Sharma

{"title":"Scattering of surface waves by inhomogeneities in crystalline structures","authors":"Basant Lal Sharma","doi":"10.1098/rspa.2023.0683","DOIUrl":"https://doi.org/10.1098/rspa.2023.0683","url":null,"abstract":"In current scientific and technological scenarios, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The results presented in the present article shed a light on the influence of material inhomogeneities on propagation of surface waves. Within the framework of classical mechanics, an analogue of the Gurtin–Murdoch model is employed where elastic properties on surface are assumed to be distinct from bulk. Restricting to scalar waves on prototype square lattice half-plane, particles on considered structured surface have piecewise-constant mass and surface force-constants across an interfacial point. Particles in bulk lattice interact with nearest neighbours in a way that involves unequal force-constants parallel to surface versus normal to it. A surface wave band exists for such lattice structure wherein the waveform decays exponentially inside the half-plane. A formula for surface wave transmittance is given based on an exact solution on half-plane, and, thus, previous work (Sharma & Eremeyev 2019 Int. J. Eng. Sci. 143, 33–38 (doi:10.1016/j.ijengsci.2019.06.007)) is extended. An explicit expression for fraction of energy influx leaked via bulk waves is a highlight. Included are graphical results for several illustrative values of surface structure parameters.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"70 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140168351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Jamming problems and the effects of compliance in dual peg-hole disassembly 双钉孔拆卸中的干扰问题和顺应性的影响

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-20 DOI: 10.1098/rspa.2023.0364

Farzaneh Goli, Yongquan Zhang, Mo Qu, Yue Zang, Mozafar Saadat, Duc Truong Pham, Yongjing Wang

{"title":"Jamming problems and the effects of compliance in dual peg-hole disassembly","authors":"Farzaneh Goli, Yongquan Zhang, Mo Qu, Yue Zang, Mozafar Saadat, Duc Truong Pham, Yongjing Wang","doi":"10.1098/rspa.2023.0364","DOIUrl":"https://doi.org/10.1098/rspa.2023.0364","url":null,"abstract":"Disassembly is a crucial step in remanufacturing and is currently mainly performed by humans. Automating disassembly can reduce labour costs and make remanufacturing more economically attractive. This paper focuses on identifying and characterizing a common disassembly task, dual peg-hole disassembly, with the aim of building a robotic disassembly system for this task. We enumerate the possible contact states and their geometric conditions during the extraction of two studs in a dual peg-hole. This paper focuses on jamming in the extraction and conducts geometrical and quasi-static analyses to determine the boundary conditions of jamming. Based on the analyses, this paper also investigates the role of active compliance as a solution to avoid jamming. We also simulate critical variables and examine key parameters such as the degree of compliance, the location of the compliance centre and initial position errors. Finally, we conduct experimental studies on dual peg-hole extraction with different compliance centres obtained using active compliance.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"20 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140168252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0