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Invariant hypersurface flows in centro-affine geometry
In this paper, the invariant geometric flows for hypersurfaces in centro-affine geometry are explored. We first present evolution equations of the...
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Wave front sets of Riesz type on Minkowski space
This paper focuses on constructing an O (1, 3)-invariant oscillatory integral on Minkowski space. We then proceed to calculate the wave front set of...
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Corrigendum to “Three-dimensional Lorentzian homogeneous Ricci solitons”
We complete the classification of left-invariant Ricci solitons on three-dimensional Lorentzian Lie groups showing the existence of a soliton with...
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Dynamics of The Stochastic g-Navier-Stokes Equations Driven by Nonlinear Noise
This paper deals with the asymptotic behavior of solutions of the stochastic g -Navier-Stokes equation driven by nonlinear noise. The existence and...
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The Statistical Theory of the Angiogenesis Equations
Angiogenesis is a multiscale process by which a primary blood vessel issues secondary vessel sprouts that reach regions lacking oxygen. Angiogenesis...
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Uniqueness of Inverse Transmission Scattering with a Conductive Boundary Condition by Phaseless Far Field Pattern
In this paper, we establish the unique determination result for inverse acoustic scattering of a penetrable obstacle with a general conductive...
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New Insights into the Peristaltic Flow Behavior of Thermal Nanofluid Systems
This paper aims to provide an effective approach for characterizing peristaltic micro-pumps mechanisms and related phenomena in a biomedical drug...
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Chaos
Chaos is ubiquitous. Chaotic motions are unpredictable. Quantifying chaos is a central issue for understanding chaotic phenomena. Experimental...
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Critical metrics for quadratic curvature functionals on some solvmanifolds
We prove the existence of four-dimensional compact manifolds admitting some non-Einstein Lorentzian metrics, which are critical points for all...
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Lie Symmetries and Exact Solutions of KdV–Burgers Equation with Dissipation in Dusty Plasma
This article investigates nonlinear behavior of ion acoustic waves in a plasma with superthermal electrons and isothermal positrons. We consider the...
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On the Small-Mass Limit for Stationary Solutions of Stochastic Wave Equations with State Dependent Friction
We investigate the convergence, in the small mass limit, of the stationary solutions of a class of stochastic damped wave equations, where the...
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Reduced AKNS Spectral Problems and Associated Complex Matrix Integrable Models
The aim of this paper is to conduct two group reductions for matrix spectral problems simultaneously. We formulate reduced Ablowitz-Kaup-Newell-Segur...
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Symplectic Realizations of e(3)∗
Using the U(2, 2)-invariant symplectic structure of the Penrose twistor space we find full and complete E(3)-equivariant symplectic realizations of...
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A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques
We propose an a posteriori error estimator for high-order p - or hp -finite element discretizations of selfadjoint linear elliptic eigenvalue problems...
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Pattern formation in a 2-population homogenized neuronal network model
We study pattern formation in a 2-population homogenized neural field model of the Hopfield type in one spatial dimension with periodic...
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Ricci solitons on four-dimensional Lorentzian Lie groups
We determine all non-Einstein Ricci solitons on four-dimensional Lorentzian Lie groups whose soliton vector field is left-invariant. In addition to...
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Weil positivity and trace formula the archimedean place
We provide a potential conceptual reason for the positivity of the Weil functional using the Hilbert space framework of the semi-local trace formula...
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Global Propagator for the Massless Dirac Operator and Spectral Asymptotics
We construct the propagator of the massless Dirac operator W on a closed Riemannian 3-manifold as the sum of two invariantly defined oscillatory...