Results 11 to 20 of about 15,157,860 (339)
LOCAL EXISTENCE OF STATISTICAL DIFFEOMORPHISMS [PDF]
JP Journal of Geometry and Topology, 2019 A diffeomorphism between statistical manifolds is said to be statistical if it preserves statistical structures. Our purpose is to find conditions that guarantee an extension of a given linear isomorphism between given tangent spaces to a local ...
Naoto Satoh
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Local Existence for the Landau Equation with Hard Potentials [PDF]
SIAM Journal on Mathematical Analysis, 2019 We consider the spatially inhomogeneous Landau equation with hard potentials (i.e. with $\gamma \in [0,1]$) on the whole space $\mathbb{R}^3$. We prove existence and uniquenss of solutions for a small time, assuming that the initial data is in a weighted
S. Chaturvedi
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Local Existence of MHD Contact Discontinuities [PDF]
Archive for Rational Mechanics and Analysis, 2015 We prove the local-in-time existence of solutions with a contact discontinuity of the equations of ideal compressible magnetohydrodynamics (MHD) for two dimensional planar flows provided that the Rayleigh–Taylor sign condition $${[\partial p/\partial N]
A. Morando, Y. Trakhinin, P. Trebeschi
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Local-existence for the inhomogeneous Muskat problem [PDF]
Nonlinearity, 2016 In this work we study the evolution of the interface between two different fluids in a porous media with two different permeabilities. We prove local existence in Sobolev spaces, when the free boundary is given by the discontinuity among the densities ...
Tania Pernas-Castaño
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Local existence, global existence, and scattering for the nonlinear Schrödinger equation [PDF]
Communications in Contemporary Mathematics, 2016 In this paper, we construct for every α > 0 and λ ∈ ℂ a class of initial values u0 for which there exists a local solution of the nonlinear Schrodinger equation iut + Δu + λ|u|αu = 0 on ℝN with the initial condition u(0,x) = u0.
T. Cazenave, I. Naumkin
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Local and Global Existence Theorems for the Einstein Equations [PDF]
Living Reviews in Relativity, 1998 This article is a guide to the literature on existence theorems for the Einstein equations which also draws attention to open problems in the field. The local in time Cauchy problem, which is relatively well understood, is treated first.
Alan D. Rendall
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Existence of Positive Solutions for Non-Local Magnetic Fractional Systems
Fractal and FractionalIn this paper, the existence of a weak positive solution for non-local magnetic fractional systems is studied in the fractional magnetic Sobolev space through a sub-supersolution method combined with iterative techniques.
Tahar Bouali +3 more
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Classical solutions of mixed problems for quasilinear first order PFDEs on a cylindrical domain [PDF]
Opuscula Mathematica, 2014 We abandon the setting of the domain as a Cartesian product of real intervals, customary for first order PFDEs (partial functional differential equations) with initial boundary conditions. We give a new set of conditions on the possibly unbounded domain \
Wojciech Czernous
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Local Existence of Dynamical and Trapping Horizons [PDF]
Physical Review Letters, 2005 Given a spacelike foliation of a spacetime and a marginally outer trapped surface S on some initial leaf, we prove that under a suitable stability condition S is contained in a ``horizon'', i.e. a smooth 3-surface foliated by marginally outer trapped slices which lie in the leaves of the given foliation.
Andersson, L., Mars, M., Simon, W.
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Global well-posedness of solutions for the epitaxy thin film growth model
Nonlinear Analysis, 2021 In this paper, we consider the global well-posedness of solutions for the initial-boundary value problems of the epitaxy growth model. We first construct the local smooth solution, then by combining some a priori estimates, continuity argument, the local
Ning Duan, Fengnan Liu, Xiaopeng Zhao
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