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Jacobi set simplification for tracking topological features in time-varying scalar fields
The Jacobi set of a bivariate scalar field is the set of points where the gradients of the two constituent scalar fields align with each other. It...
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Scalar field as a perfect fluid: thermodynamics of minimally coupled scalars and Einstein frame scalar-tensor gravity
We revisit the analogy between a minimally coupled scalar field in general relativity and a perfect fluid, correcting previous identifications of...
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Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling
AbstractA mathematical model is constructed for the evolution of spherical perturbations in a cosmological one-component statistical system of...
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Collective gradient perception with a flying robot swarm
In this paper, we study the problem of collective and emergent sensing with a flying robot swarm in which social interactions among individuals lead...
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A no-go theorem for scalar fields with couplings from Ginzburg–Landau models
Recently Hod proved a no-go theorem that static scalar fields cannot form spherically symmetric boson stars in the asymptotically flat background. On...
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Characterizations of Gradient h-Almost Yamabe Solitons
In this article we deal with gradient h -almost Yamabe solitons introduced by Zeng (J Math Study 54(4):371–386 2021). In this setting we prove that...
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Scalar-based strain gradient plasticity theory to model size-dependent kinematic hardening effects
A common belief in phenomenological strain gradient plasticity modeling is that including the gradient of scalar variables in the constitutive...
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A constrained subgrid-scale model for passive scalar turbulence
In this paper, a constrained large-eddy simulation (C-LES) model is used to simulate passive scalar in turbulent flows. The coefficients of the...
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The prescribed Gauduchon scalar curvature problem in almost Hermitian geometry
In this paper, we consider the prescribed Gauduchon scalar curvature problem on almost Hermitian manifolds. By deducing the expression of the...
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Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws
Particle methods based on evolving the spatial derivatives of the solution were originally introduced to simulate reaction-diffusion processes,...
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First-order thermodynamics of scalar-tensor gravity
The first-order thermodynamics of scalar-tensor theory is a novel approach that exploits the intriguing relationship between gravity and...
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Gradient Method
In this chapter we introduce the gradient method, which is one of the first methods proposed for the unconstrained minimization of differentiable... -
Scalar and Vector Bases for Periodic Pipe Flow
Modified Jacobi polynomials; Orthonormalization of the modified polynomials; Test function space... -
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Neural networks for scalar input and functional output
The regression of a functional response on a set of scalar predictors can be a challenging task, especially if there is a large number of predictors,...
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The stabilized-trigonometric scalar auxiliary variable approach for gradient flows and its efficient schemes
We develop a trigonometric scalar auxiliary variable (TSAV) approach for constructing linear, totally decoupled, and energy-stable numerical methods...
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Gradient Flows on Graphons: Existence, Convergence, Continuity Equations
Wasserstein gradient flows on probability measures have found a host of applications in various optimization problems. They typically arise as the...
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Quantum Fletcher Reeves Conjugate Gradient Method
Numerous applications involve optimization problems, including image processing (Hassan Ibrahim et al. 2020), science (Lin et al. 2020a) and... -
Gravitational Collapse of a Spherical Scalar Field
Examining the relativistic collapse of a spherical spacetime where gravity is coupled with a scalar field, this review provides a thorough analysis... -
Alternative extension of the Hager–Zhang conjugate gradient method for vector optimization
Recently, Gonçalves and Prudente proposed an extension of the Hager–Zhang nonlinear conjugate gradient method for vector optimization (Comput Optim...