Aleksandr Lyapunov, the man who created the modern theory of stability by Ramin Kazemi

“…We recount the main fields of his scientific activity (stability theory, potential theory, probability theory, shape of planets) concerning stability theory and chaos in details.…”
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Investigation of boundary conditions on stability of coaxial cylindrical shells interacting with flowing fluid by Sergey A Bochkarev, Sergey V Lekomtsev

“…The fluid is described in terms of potential theory. With this approach, the stated problem reduces to simultaneous solving of four sets of equations using the finite element method. …”
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How fast do radial basis function interpolants of analytic functions converge? by Platte, R

“…The question in the title is answered using tools of potential theory. Convergence and divergence rates of interpolants of analytic functions on the unit interval are analyzed. …”

Energy relaxation for hot Dirac fermions in graphene and breakdown of the quantum Hall effect by Baker, A, Alexander-Webber, J, Altebaeumer, T, Nicholas, R

“…The carrier energy loss in graphene follows the predictions of deformation potential coupling going as ∼T4 at carrier temperatures up to ∼100 K, and that deformation potential theory, when modified with a limiting phonon relaxation time, is valid up to several hundred Kelvin. …”

Application of Boundary Element Method to Inviscid Flow Around Thin Airfoils by Ahmad Yazid, Aznijar

“…However, the adoption of potential theory means that the stall conditions of airfoils could still not be predicted at all.…”
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Strategic-Based Regional Development: Towards a theory of everything for regional development? by Eduardo Medeiros

“…This paper presents a potential ‘theory of everything’ for regional development processes which can be applied to development and cohesion policies. …”
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Aerodynamic Parameters Analysis of Transonic Flow Past Unswept and Swept Wings by Raad Shehab Ahmed

“…The Euler solution and potential flow solutions are identical at subsonic flow; however, at supersonic flow the potential theory can no longer predict the flow field correctly. …”
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Kuramoto-Like Synchronization Mediated through Faraday Surface Waves by André Nachbin

“…A weakly viscous potential theory model should be used. Numerical simulations are presented with one and two bouncing droplets oscillating while confined to their cavities. …”
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Mode-I Plane Elasticity Problem of Two Asymmetrical Edge Cracks Emanating from an Elliptical Hole in Two-Dimensional Decagonal Quasicrystals by Jing Yu

“…The analytical solutions for the stress field and the stress intensity factors near the crack tip are expressed by using a conformal mapping technique and complex potential theory. Some special cases of the results are also obtained, such as the T-type crack, cross crack, and Griffith crack. …”
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Corrosion shape reconstruction of the mixed boundary in electrostatic imaging by Yuqing Hu, Bingxian Wang, Tongxing Li

“…For the direct problem, we use potential theory to simulate the Neumann data from Dirichlet data on Dirichlet boundary. …”
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Elastic oscillations of water column in the 2003 Tokachi-oki tsunami source: in-situ measurements and 3-D numerical modelling by M. A. Nosov, S. V. Kolesov

“…We also presented 3-D finite-difference numerical model developed in the framework of linear potential theory of ideal compressible fluid to better understand dynamical processes in the tsunami source. …”
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Moment of inertia of liquid in a tank by Gyeong Joong Lee

“…In this study, the inertial properties of fully filled liquid in a tank were studied based on the potential theory. The analytic solution was obtained for the rectangular tank, and the numerical solutions using Green's 2nd identity were obtained for other shapes. …”
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Existence of positive solutions for nonlinear boundary-value problems in unbounded domains of $mathbb{R}^{n}$ by Faten Toumi, Noureddine Zeddini

“…For this aim we use the Schauder fixed-point argument and a potential theory approach.…”
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On logarithmic residue of monogenic functions in a three-dimensional commutative algebra with one-dimensional radical by Pukhtaievych Roman, Plaksa Sergiy

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CFD as a seakeeping tool for ship design by Sungeun Peter Kim

“…Nevertheless, the violent free surface flows such as slamming and green water on deck are beyond the scope of traditional panel methods based on potential theory. Recently, Computational Fluid Dynamics (CFD) has become an attractive numerical tool that can effectively deal with the violent free surface flows. …”
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Asymptotic behavior of the longitudinal permeability of a periodic array of thin cylinders by Paolo Musolino, Vladimir Mityushev

“…We analyze $K_{II}[\epsilon]$ for $\epsilon$ close to $0$ by an approach based on functional analysis and potential theory, which is alternative to that of asymptotic analysis. …”
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The Characteristic Curve in Physical Adsorption by V.A. Bakaev, W.A. Steele

“…The concept of the characteristic curve in physical adsorption and the rule of its temperature invariance is traced from the potential theory of adsorption by Polanyi to the Frenkel–Halsey–Hill equation, the theory of volume filling of micropores by Dubinin et al. and the theory of adsorption on heterogeneous surfaces. …”
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Experimental Studies of the Generalized Adsorption Isotherm for the Supercritical Region by Yaping Zhou, Li Zhou, Shupei Bai, Bin Yang

“…Some problems arise with the characteristic curve proposed by the Dubinin–Polanyi potential theory when this is applied to supercritical adsorption although, as an alternative, the generalized isotherm is capable of well modelling isotherms for different temperatures. …”
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How to make unforgeable money in generalised probabilistic theories by John H. Selby, Jamie Sikora

“…This framework is broad enough to allow for essentially any potential theory of nature, provided that it admits an operational description. …”
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THE SOLUTION OF A VECTOR 3D INVERSE DIFFRACTION PLOBLEM ON A 3D HETEROGENEOUS BODY BY A TWO-SWEEP METHOD by M. Yu. Medvedik

“…The original boundary value problem for Maxwell’s equations is reduced to a system of integro-differential equations; the system is studied using potential theory and Fourier transform. Results. The integral formulation of the vector inverse problem of diffraction is given; uniqueness of a solution to the integro-differential equation of the first type is established in special function spaces; non-iterative approach for solving the inverse problem is implemented; several techniques for solutions’ refinement are also implemented. …”