Results 1 to 10 of about 7,757,053 (329)
Singular solutions in soft limits [PDF]
Journal of High Energy Physics, 2020 Abstract A generalization of the scattering equations on X (2, n), the configuration space of n points on ℂℙ1, to higher dimensional projective spaces was recently introduced by Early, Guevara, Mizera, and one of the authors. One of the new features in X (k, n) with k > 2 is the presence of both regular and singular solutions in
Cachazo, Freddy +2 more
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Potentially singular solutions of the 3D axisymmetric Euler equations. [PDF]
Proc Natl Acad Sci U S A, 2014 Significance Whether infinitely fast spinning vortices can develop in initially smooth, incompressible inviscid flow fields in finite time is one of the most challenging problems in fluid dynamics. Besides being a difficult mathematical question that has
Luo G, Hou TY.
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Twisting singular solutions of Bethe's equations [PDF]
, 2014 The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions to be physical,
Nepomechie, Rafael I., Wang, Chunguang
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Asymptotic large time behavior of singular solutions of the fast diffusion equation [PDF]
, 2015 We study the asymptotic large time behavior of singular solutions of the fast diffusion equation $u_t=\Delta u^m$ in $({\mathbb R}^n\setminus\{0\})\times(0,\infty)$ in the subcritical case $0 A_1>0$ and $\frac{2}{1-m} 0$. When $\frac{2}{1-m}
Kin Ming Hui, Soojung Kim
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The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions [PDF]
Transactions of the American Mathematical Society, 2020 The purpose of this paper is to study and classify singular solutions of the Poisson problem { L μ s
Huyuan Chen, T. Weth
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Classification theorem and properties of singular solutions to the Tolman–Oppenheimer–Volkoff equation [PDF]
Classical and quantum gravity, 2020 The Tolman–Oppenheimer–Volkoff (TOV) equation admits singular solutions in addition to regular ones. Here, we prove the following theorem. For any equation of state that (i) is obtained from an entropy function, (ii) has positive pressure and (iii ...
Charis Anastopoulos, N. Savvidou
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Singular solutions of a Lane-Emden system
Discrete and Continuous Dynamical Systems. Series A, 2021 In this work we consider the existence of positive singular solutions 1 \begin{document}$ \begin{equation} \left\{ \begin{array}{lcl} \hfill -\Delta u_1 & = & \lambda_1 | \nabla u_2|^p \qquad \mbox{ in } \Omega, \\ \hfill -\Delta u_2 & = & \lambda_2 ...
C. Cowan, A. Razani
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On the Existence of Singular Solutions [PDF]
gmj, 2001 Abstract Sufficient conditions are given, under which the equation 𝑦(𝑛) = ƒ(𝑡, 𝑦, 𝑦′, . . . , 𝑦(𝑙))𝑔(𝑦(𝑛 – 1)) has a singular solution 𝑦[𝑇, τ) → 𝐑, τ < ∞ satisfying , 𝑖 = 0, 1, . . . , 𝑙 and for 𝑗 = 𝑙 + 1, . . . , 𝑛 – 1 where 𝑙 ∈ {0, 1, . . . , 𝑛 – 2}.
Bartušek, M., Osička, J.
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Refined Description and Stability for Singular Solutions of the 2D Keller‐Segel System [PDF]
Communications on Pure and Applied Mathematics, 2019 We construct solutions to the two‐dimensional parabolic‐elliptic Keller‐Segel model for chemotaxis that blow up in finite time T. The solution is decomposed as the sum of a stationary state concentrated at scale λ and of a perturbation.
Charles Collot +3 more
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Symmetry and monotonicity properties of singular solutions to some cooperative semilinear elliptic systems involving critical nonlinearities [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2019 We investigate qualitative properties of positive singular solutions of some elliptic systems in bounded and unbounded domains. We deduce symmetry and monotonicity properties via the moving plane procedure.
F. Esposito
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