Spatial Analyticity of Solutions to Keller–Segel Equation of Parabolic–Elliptic Type
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DOI: 10.1007/s00025-017-0741-1
Abstract: In this article, spatial analyticity of solutions to Keller–Segel equation of parabolic–elliptic type with generalized dissipation is presented. First, we prove the analyticity of local solutions to system with large rough initial data in Modulation… read more here.
Keywords: analyticity solutions; solutions keller; beta; spatial analyticity ... See more keywords
Lower bounds on the radius of analyticity for a system of modified KdV equations
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DOI: 10.1016/j.jmaa.2020.124917
Abstract: Abstract The initial value problem for a system of modified Korteweg-deVries equations with data that are analytic on R and having uniform radius of analyticity r 0 is studied. After proving an analytic version of… read more here.
Keywords: radius analyticity; bounds radius; analyticity; lower bounds ... See more keywords
On the Lagrangian and Eulerian analyticity for the Euler equations
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DOI: 10.1016/j.physd.2017.09.006
Abstract: Abstract We address preservation of the Lagrangian analyticity radius of solutions to the Euler equations belonging to natural analytic space based on the size of Taylor (or Gevrey) coefficients. We prove that if the solution… read more here.
Keywords: eulerian analyticity; euler equations; analyticity euler; solution ... See more keywords
Analyticity Properties and Asymptotic Behavior of Scattering Amplitude in Higher Dimensional Theories
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DOI: 10.1063/1.4974265
Abstract: The properties of the high energy behavior of the scattering amplitude of massive, neutral, and spinless particles in higher dimensional field theories are investigated. The axiomatic formulation of Lehmann, Symanzik, and Zimmermann (LSZ) is adopted.… read more here.
Keywords: scattering amplitude; behavior scattering; analyticity properties; analyticity ... See more keywords
Analyticity up to the boundary for the Stokes and the Navier-Stokes systems
Sign Up to like & getrecommendations! Published in 2020 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7990
Abstract: For simplicity we assume d 2 {2, 3}; higher dimensions can be treated in the same way. The main goal of this paper is to establish the immediate gain of space-time analyticity for solutions to… read more here.
Keywords: analyticity; analyticity boundary; space time; navier stokes ... See more keywords