Results 51 to 60 of about 48,120 (302)
Scaling Symmetries and Conservation Laws for Variable-coefficients Nonlinear Dispersive Equations
Trends in Computational and Applied Mathematics, 2019 Scaling symmetries arise in different branches of physics, and symmetry-based approaches are powerful tools for studying scaling-invariant models since they can provide conservation laws that are not obvious by inspection.
Érica M. Silva, Wescley L. Souza
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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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Advanced Engineering Materials, EarlyView.A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi +3 more
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Darboux transformation with dihedral reduction group [PDF]
, 2014 We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Bäcklund transformation can be viewed as a nonevolutionary integrable differential difference ...
Papamikos, Georgios +6 more
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Mathematics, 2021 In this work, we study the generalized 2D equal-width equation which arises in various fields of science. With the aid of numerous methods which includes Lie symmetry analysis, power series expansion and Weierstrass method, we produce closed-form ...
Chaudry Masood Khalique, Karabo Plaatjie
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Advanced Healthcare Materials, EarlyView.Microfluidic coaxial extrusion generates size‐controlled 3D lymphatic tubes from primary human dermal lymphatic endothelial cells in a defined four‐component matrix. These engineered vessels self‐organize into stable lymphatic endothelium, maintain selective macromolecular permeability for 30 days, and enable direct comparison with blood endothelial ...
Elsa Mazari‐Arrighi +8 more
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Spectral Volume Method: application to Euler equations and performance appraisal [PDF]
, 2010 The compact high-order "Spectral Volume Method" designed for conservation laws on unstructured grids is presented. Its spectral reconstruction is exposed briefly and its applications to the Euler equations are presented through several test cases to ...
Chikhaoui, Oussama +2 more
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A moving mesh method for one-dimensional hyperbolic conservation laws
, 2001 We develop an adaptive method for solving one-dimensional systems of hyperbolic conservation laws that employs a high resolution Godunov-type scheme for the physical equations, in conjunction with a moving mesh PDE governing the motion of the spatial ...
Russell, Robert D. +5 more
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Wave Front Tracking in Systems of conservation Laws [PDF]
, 2004 summary:This paper contains several recent results about nonlinear systems of hyperbolic conservation laws obtained through the technique of Wave Front ...
Colombo, Rinaldo M. +1 more
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Invariant Solutions and Conservation Laws of the (2 + 1)-Dimensional Boussinesq Equation
Abstract and Applied Analysis, 2014 Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation are studied. The Lie symmetry approach is used to obtain the invariant solutions.
Wenjuan Rui, Peiyi Zhao, Yufeng Zhang
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