Radial symmetry and monotonicity for an integral equation
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Ma, Li, Chen, Dezhong
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High-order conservative reconstruction schemes for finite volume methods in cylindrical and spherical coordinates [PDF]
High-order reconstruction schemes for the solution of hyperbolic conservation laws in orthogonal curvilinear coordinates are revised in the finite volume approach. The formulation employs a piecewise polynomial approximation to the zone-average values to
Mignone, A.
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A new variational approach to the stability of gravitational systems [PDF]
We consider the three dimensional gravitational Vlasov Poisson system which describes the mechanical state of a stellar system subject to its own gravity.
A. Alvino +51 more
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Characterization of radially symmetric finite time blowup in multidimensional aggregation equations, [PDF]
This paper studies the transport of a mass $\mu$ in $\real^d, d \geq 2,$ by a flow field $v= -\nabla K*\mu$.
Bertozzi, Andrea L. +2 more
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On the moving plane method for boundary blow-up solutions to semilinear elliptic equations
We consider weak solutions to -Δu=f(u){-\Delta u=f(u)} on Ω1∖Ω0{\Omega_{1}\setminus\Omega_{0}}, with u=c≥0{u=c\geq 0} in ∂Ω1{\partial\Omega_{1}} and u=+∞{u=+\infty} on ∂Ω0{\partial\Omega_{0}}, and we prove monotonicity properties of the solutions via
Canino Annamaria +2 more
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On the symmetry of minimizers in constrained quasi-linear problems [PDF]
We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.Comment: 18 ...
Squassina, Marco
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Structural and dynamical uncertainties in modeling axisymmetric elliptical galaxies [PDF]
Quantitative dynamical models of galaxies require deprojecting the observed surface brightness to determine the luminosity density of the galaxy. Existing deprojection methods for axisymmetric galaxies assume that a unique deprojection exists for any ...
Kochanek, Christopher S. +1 more
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Radial Symmetry and Monotonicity Results for an Integral Equation
In this paper, we consider radial symmetry property of positive solutions of an integral equation arising from some higher order semi-linear elliptic equations on the whole space $\mathbf{R}^n$. We do not use the usual way to get symmetric result by using moving plane method.
Ma, Li, Chen, DeZhong
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Analytic Inversion of Emission Lines of Arbitrary Optical Depth for the Structure of Supernova Ejecta [PDF]
We derive a method for inverting emission line profiles formed in supernova ejecta. The derivation assumes spherical symmetry and homologous expansion (i.e., $v(r) \propto r$), is analytic, and even takes account of occultation by a pseudo-photosphere ...
Adam Fisher +17 more
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Persistence of translational symmetry in the BCS model with radial pair interaction [PDF]
We consider the two-dimensional BCS functional with a radial pair interaction. We show that the translational symmetry is not broken in a certain temperature interval below the critical temperature.
Deuchert, Andreas +3 more
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