Results 51 to 60 of about 4,191 (239)
AxiomsThe generalized theory of the double reduction of systems of partial differential equations (PDEs) based on the association of conservation laws with Lie–Bäcklund symmetries is one of the most effective algorithms for performing symmetry reductions of ...
Molahlehi Charles Kakuli +2 more
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Journal of Applied Mathematics, 2013 This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in
Fukang Yin +3 more
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Quasi-periodic solutions to nonlinear PDEs
Advanced Studies in Pure Mathematics, 2019 We present recent developments in the theory of quasi-periodic solutions to nonlinear PDEs, such as the nonlinear Schrodinger and the nonlinear Klein-Gordon equations. These solutions hold in arbitrary dimensions, and the quasi-periodicity can be either in time or space.
openaire +2 more sources
Canadian Journal of Statistics, EarlyView.Abstract We analyze the effect of regulatory capital constraints on financial stability in a large homogeneous banking system using a mean‐field game (MFG) model. Each bank holds cash and a tradable risky asset. Banks choose absolutely continuous trading rates in order to maximize expected terminal equity, with trades subject to transaction costs ...
Rüdiger Frey, Theresa Traxler
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Existence of Full Replica Symmetry Breaking for the Sherrington–Kirkpatrick Model at Low Temperature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We verify the existence of full replica symmetry breaking (FRSB) for the Sherrington–Kirkpatrick (SK) model and determine the structure of its Parisi measure slightly beyond the high temperature regime. More specifically, we prove that the support of the Parisi measure for the SK model consists of an interval starting at the origin slightly ...
Yuxin Zhou
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Solvable Nonlinear Evolution PDEs in Multidimensional Space
Symmetry, Integrability and Geometry: Methods and Applications, 2006 A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type.
Francesco Calogero, Matteo Sommacal
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Shock and Vibration, 2014 The dynamic response of a Timoshenko beam with immovable ends resting on a nonlinear viscoelastic foundation and subjected to motion of a traveling mass moving with a constant velocity is studied. Primarily, the beam’s nonlinear governing coupled PDEs of
Ahmad Mamandi, Mohammad H. Kargarnovin
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Frontiers in Physics, 2020 In this paper Extrapolated Stabilized Explicit Runge-Kutta methods (ESERK) are proposed to solve nonlinear partial differential equations (PDEs) in right triangles.
Jesús Martín-Vaquero
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Deep Underground Science and Engineering, EarlyView.The evolution of the temperature field and frozen wall under different fracture conditions was examined by an artificial ground freezing‐based thermal‐hydraulic coupled model. It was observed that fracture inclination affects the interaction extent of freezing pipes and fracture, while phase transition extent is the dominant factor for heat transfer in
Chenyi Zhang +9 more
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