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Surface Integrals
Let R be a region in the xy-plane consisting of a piecewise smooth simple closed curve C and its interior, and let the functions...
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Geometric Optics for Surface Waves on the Plasma–Vacuum Interface
We consider the free boundary problem for a plasma–vacuum interface in ideal incompressible magnetohydrodynamics, where the Maxwell equations for...
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Geometric Optics for Surface Waves on the Plasma–Vacuum Interface: Higher Order Expansion
We consider the free boundary problem for a plasma–vacuum interface in ideal incompressible magnetohydrodynamics, where the Maxwell equations for...
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Solvability of a nonlinear parabolic problem arising in modeling surface reactions
We investigate the existence, uniqueness, and long-time behavior of classical solutions to a coupled system of seven nonlinear parabolic equations....
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The viscous strip approach to simplify the calculation of the surface acoustic wave generated streaming
In recent decades, the importance of surface acoustic waves, as a biocompatible tool to integrate with microfluidics, has been proven in various...
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Surfaces and Surface Integrals
We have already addressed the notion of a surface in Chap. 46: While a space curve is a function in one parameter t, a surface is a function in two...
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Modeling of fluid flow along a small heated irregularity on the plate surface in the framework of double-deck boundary layer structure
The paper is deals with the heat transfer in the laminar flow of a viscous incompressible fluid along a plate with a small heated localized...
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Recent Developments of Surface Parameterization Methods Using Quasi-conformal Geometry
Surface parameterization is of fundamental importance for many tasks in computer vision and imaging. In recent years, computational quasi-conformal...
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On Waves on the Surface of an Unstable Layer of a Viscous Fluid Flowing Down a Curved Surface
AbstractWe consider the evolution of linear waves of small perturbations of an unstable flow of a viscous fluid layer over a curved surface. The...
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Barrier Lyapunov Function-Based Finite-Time Dynamic Surface Control for Output-Constrained Nonstrict-Feedback Systems
This paper investigates a finite-time tracking problem for the uncertainty nonlinear systems in nonstrict-feedback form, in which the output signal...
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A Derivative-Free Optimization Algorithm Combining Line-Search and Trust-Region Techniques
The speeding-up and slowing-down (SUSD) direction is a novel direction, which is proved to converge to the gradient descent direction under some...
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The Kauffman Bracket Skein Module and Algebra of Surface I-Bundles
The Kauffman bracket skein module of a surface times an interval has a natural algebra structure. This algebra has intricate connections with...
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Winning Region Determination and Optimal Cooperative Guidance Design in a Pursuer–Evader–Defender Game
In this paper, we study the pursuer–evader–defender game under the isotropic rocket model. The game involves three agents: the evader, the pursuer,...
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Modeling the Motion of an Elongated Contour under Free Surface of a Heavy Fluid under Large Froude Numbers
AbstractThe flow around an elongated smooth contour under the free surface of a fluid is considered. The fluid is perfect, incompressible, and heavy....
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Theoretical analysis of surface waves in piezoelectric medium with periodic shunting circuits
The investigations of surface waves in the piezoelectric medium bring out great possibility in designing smart surface acoustic wave (SAW) devices....
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Pure Random Search with Virtual Extension of Feasible Region
We propose a modification of the pure random search algorithm for cases when the global optimum point can be located near the boundary of a feasible...
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Zero-Velocity Surface in the General Three-Body-Problem
AbstractThe zero-velocity surfaces of the general planar three-body problem are constructed in form space, i.e., the factor space of the...
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Analysis of Heat Transfer Coefficients and Pressure Drops in Surface Condenser with Different Baffle Spacings
Nowadays, heat exchange devices are becoming one of the essential components in complex engineering systems such as power plants and food processing...
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Ocean Surface Waves and Ocean-Atmosphere Interactions
The relevance of ocean surface wave dynamics is briefly reviewed. Some aspects are acknowledged from the traditional point of view, regarding mainly...
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Adaptive enhancement design of triply periodic minimal surface lattice structure based on non-uniform stress distribution
The Schwarz primitive triply periodic minimal surface (P-type TPMS) lattice structures are widely used. However, these lattice structures have weak...