Results 11 to 20 of about 1,563 (194)
Multidimensional transonic shock waves and free boundary problems
Bulletin of Mathematical Sciences, 2022 We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics.
Gui-Qiang G. Chen, Mikhail Feldman
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Free Boundary Problems in PDEs and Particle Systems [PDF]
, 2016 In this volume a theory for models of transport in the presence of a free boundary is developed.Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interaction with the exterior takes place in correspondence of a free
Gioia Carinci +3 more
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Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy
Mathematics, 2021 We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the unknown u=u(x,t), also contain the same functions with dilated or contracted arguments of the form w=u(px,t), w=u(x,qt), and w=u(px,qt), where p and q are the free ...
Andrei D. Polyanin, Vsevolod G. Sorokin
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PDE methods for free boundary problems in financial mathematics
, 2008 QC ...
Arnarson, Teitur
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PINNs algorithm and its application in geotechnical engineering
Yantu gongcheng xuebao, 2021 The physical information neural networks (PINNs) algorithm, a new mesh-free algorithm, uses the automatic differential method to embed the partial differential equation directly into the neural networks so as to realize the intelligent solution of the ...
LAN Peng 1, LI Hai-chao 1, YE Xin-yu 1, ZHANG Sheng 1, SHENG Dai-chao 1, 2
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Finite line method for solving high-order partial differential equations in science and engineering
Partial Differential Equations in Applied Mathematics, 2023 In this paper, a completely new numerical method, named Finite Line Method (FLM), is proposed for solving general linear and non-linear high-order partial differential equations (PDEs) in science as well as engineering problems in heat conduction and ...
Xiao-Wei Gao, Yu-Mo Zhu, Tao Pan
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Extending Density Phase-Field Simulations to Dynamic Regimes
Metals, 2023 Density-based phase-field (DPF) methods have emerged as a technique for simulating grain boundary thermodynamics and kinetics. Compared to the classical phase-field, DPF gives a more physical description of the grain boundary structure and chemistry ...
David Jacobson +2 more
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A free boundary problem arising in PDE optimization [PDF]
Calculus of Variations and Partial Differential Equations, 2015 29 pages, 42 ...
BUTTAZZO, GIUSEPPE +2 more
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MethodsX, 2022 This article presents a new approximation of order four in exponential form for two-dimensional (2D) quasilinear partial differential equation (PDE) of elliptic form with solution domain being irrational.
R.K. Mohanty +3 more
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Geometry aware physics informed neural network surrogate for solving Navier–Stokes equation (GAPINN)
Advanced Modeling and Simulation in Engineering Sciences, 2022 Many real world problems involve fluid flow phenomena, typically be described by the Navier–Stokes equations. The Navier–Stokes equations are partial differential equations (PDEs) with highly nonlinear properties. Currently mostly used methods solve this
Jan Oldenburg +4 more
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