Results 41 to 50 of about 2,326,589 (197)
Topological and Non-Topological Solitons in Scalar Field Theories
Solitons emerge in various nonlinear systems – from nonlinear optics and condensed matter to nuclear physics, cosmology, and supersymmetric theories – as stable, localized configurations behaving in many ways like particles.
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A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]
The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R. +79 more
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On a boundary value problem for a Boussinesq-type equation in a triangle
Earlier, we considered an initial-boundary value problem for a one-dimensional Boussinesq-type equation in a domain that is a trapezoid, in which the theorems on its unique weak solvability in Sobolev classes were established by the methods of the theory
M. T. Jenaliyev +2 more
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A Scalar Version of the Caflisch‐Luke Paradox [PDF]
Consider an infinite cloud of hard spheres sedimenting in a Stokes flow in the whole space ℝd. Despite many contributions in fluid mechanics and applied mathematics, there is so far no rigorous definition of the associated effective sedimentation ...
A. Gloria
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"Shadowy"modes in Higher-Order Scalar-Tensor theories [PDF]
Antonio De Felice,1 David Langlois,2 Shinji Mukohyama,1, 3, 4 Karim Noui,4, 2 and Anzhong Wang5, 6 Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Kyoto, Japan Laboratoire Astroparticule et ...
A. D. Felice +4 more
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Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds [PDF]
We study the problem of deforming a Riemannian metric to a conformal one with nonzero constant scalar curvature and nonzero constant boundary mean curvature on a compact manifold of dimension [Formula: see text].
Xuezhang Chen, Liming Sun
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Here we demonstrate the benefits of a new curriculum for introductory calculus-based physics that motivates classical mechanics using a modified version of Hamiltonian mechanics.
Sarah E. LeGresley +4 more
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This study utilized international, large-scale assessment data to compare science motivational beliefs of adolescents within and between countries and genders. The study focused on the beliefs about science of eighth graders, including their self-concept
Pey-Yan Liou, John J. H. Lin
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User-Friendly Tail Bounds for Sums of Random Matrices [PDF]
This paper presents new probability inequalities for sums of independent, random, self-adjoint matrices. These results place simple and easily verifiable hypotheses on the summands, and they deliver strong conclusions about the large-deviation behavior ...
J. Tropp
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The isoperimetric inequality on asymptotically flat manifolds with nonnegative scalar curvature
In this note, we consider the isoperimetric inequality on an asymptotically flat manifold with nonnegative scalar curvature, and improve it by using Hawking mass.
Shi, Yuguang
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