Results 1 to 10 of about 2,325 (94)
Journal of Mathematical Inequalities, 2021 . In this paper, we show the applications of some basic mathematical inequalities in partial differential equations. By using the differential inequality technique, the convergence of the primitive equations of moist atmosphere is obtained Mathematics ...
Yuan ei Li, Xiao Sh ngzhong, Zeng Peng
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Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds
Journal of Mathematical Study, 2021 We prove the smoothness of weak solutions to a class of complex Hessian equations on closed Kähler manifolds, by use of the smoothing property of the corresponding gradient flow. AMS subject classifications: 32W20, 35K55, 53C44.
Weimin Wang
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Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation†
Communications in Computational Physics, 2019 In this paper, we rigorously prove the convergence of fully discrete firstand second-order exponential time differencing schemes for solving the Cahn-Hilliard equation.
Xiao Li
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Uniqueness of instantaneously complete Ricci flows [PDF]
, 2013 We prove uniqueness of instantaneously complete Ricci flows on surfaces. We do not require any bounds of any form on the curvature or its growth at infinity, nor on the metric or its growth (other than that implied by instantaneous completeness). Coupled
P. Topping
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Gradient estimates for inverse curvature flows in hyperbolic space [PDF]
, 2014 We prove gradient estimates for hypersurfaces in the hyperbolic space $\mathbb{H}^{n+1},$ expanding by negative powers of a certain class of homogeneous curvature functions.
Scheuer, Julian
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Singularity Analysis and Integrability of a Burgers-Type System of Foursov [PDF]
, 2011 We apply the Painleve test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting local generalized symmetries ...
Sakovich, Sergei
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, 2020 In this paper, an equivalence relation between the ω-limit set of initial values and the ω-limit set of solutions is established for the Cauchy problem of evolution p-Laplacian equation in the unbounded space Yσ(R). To overcome the difficulties caused by
Liangwei Wang
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Existence, uniqueness and decay rates for evolution equations on trees [PDF]
, 2014 We study evolution equations governed by an averaging operator on a directed tree, showing existence and uniqueness of solutions. In addition we find conditions of the initial condition that allows us to find the asymptotic decay rate of the solutions as
del Pezzo, Leandro Martin +2 more
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Journal of Mathematical Study, 2020 This paper deals with the task of pricing European basket options in the presence of transaction costs. We develop a model that incorporates the illiquidity of the market into the classical two-assets Black-Scholes framework.
Aicha Driouch Hassan Al Moatassime
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Boundary Value Problems, 2014 In this paper, we consider a p-Laplacian heat equation with inhomogeneous Neumann boundary condition. We establish respectively the conditions on the nonlinearities to guarantee that the solution u(x,t) exists globally or blows up at some finite time. If
Fushan Li, Jinling Li
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