Results 21 to 30 of about 47,490 (262)
Scaling Symmetry and a New Conservation Law of the Harry Dym Equation [PDF]
Mathematics Interdisciplinary Research, 2021 In this paper, we obtain a new conservation law for the Harry Dym equation by using the scaling method. This method is algorithmic and based on variational calculus and linear algebra. In this method, the density of the conservation law is constructed by
Mehdi Jafari +2 more
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Mathematical study on the thickened interface model by viscosity solution of the level-set equation
Journal of Thermal Science and Technology, 2022 The level-set approach extended for its viscosity solution is investigated to derive a relation to the conservation law of fluid phenomena and the phase-field approach based on the free energy theory.
Nobuyuki OSHIMA
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Conserved vectors and solutions of the two-dimensional potential KP equation
Open Physics, 2023 This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which describes the evolution of small-amplitude nonlinear long waves with slow transverse coordinate dependence.
Khalique Chaudry Masood +1 more
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A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation
Entropy, 2022 The nonlinear Schrödinger equation is an important model equation in the study of quantum states of physical systems. To improve the computing efficiency, a fast algorithm based on the time two-mesh high-order compact difference scheme for solving the ...
Siriguleng He, Yang Liu, Hong Li
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On the Generation of Infinitely Many Conservation Laws of the Black-Scholes Equation
Computation, 2020 Construction of conservation laws of differential equations is an essential part of the mathematical study of differential equations. In this paper we derive, using two approaches, general formulas for finding conservation laws of the Black-Scholes ...
Winter Sinkala
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Mathematics, 2022 Invariant finite-difference schemes are considered for one-dimensional magnetohydrodynamics (MHD) equations in mass Lagrangian coordinates for the cases of finite and infinite conductivity.
Vladimir Dorodnitsyn, Evgeniy Kaptsov
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Blowup for Systems of Conservation Laws [PDF]
SIAM Journal on Mathematical Analysis, 2000 The author considers an initial value problem for a system of conservation laws \(U_t+ F(U)_x= 0\), \(U(x,0)= U_0(x)\), where \(U= U(x,t)\in \mathbb{R}^3\), \(F: \mathbb{R}^3\to \mathbb{R}^3\) is smooth and strictly hyperbolic. It is presented a class of \(3\times 3\)-systems for which one can prescribe initial data such that the solution blows up in ...
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
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Growth Equation with a Conservation Law [PDF]
MRS Proceedings, 1995 ABSTRACTWe investigate an interface growth equation with a conservation law. The interaction is characterized by an integral kernel. The equation contains the Kardar-Parisi-Zhang, Sun-Guo-Grant, and Molecular-Beam Epitaxy growth equations as special cases and allows for a unified investigation of growth equations.
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Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
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