Results 21 to 30 of about 3,546,472 (360)
Min-max differential game with partial differential equation
AIMS Mathematics, 2022 In this paper, we are concerned with a min-max differential game with Cauchy initial value problem (CIVP) as the state trajectory for the differential game, we studied the analytical solution and the approximate solution by using Picard method (PM) of ...
Ebrahim. A. Youness +3 more
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Uniqueness and Regularity for the Navier-Stokes-Cahn-Hilliard System [PDF]
SIAM Journal on Mathematical Analysis, 2018 The motion of two contiguous incompressible and viscous fluids is described within the diffuse interface theory by the so-called Model H. The system consists of the Navier-Stokes equations, which are coupled with the Cahn-Hilliard equation associated to ...
A. Giorgini, A. Miranville, R. Temam
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On the uniqueness of limit cycles for generalized Liénard systems
Open Mathematics, 2023 In this article, the general Liénard system dxdt=ϕ(y)−F(x),dydt=−g(x)\left\{\begin{array}{l}\frac{{\rm{d}}x}{{\rm{d}}t}=\phi (y)-F\left(x),\\ \frac{{\rm{d}}y}{{\rm{d}}t}=-g\left(x)\end{array}\right. is studied.
Zhou Hui, Yuan Yueding
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AIMS Mathematics, 2022 In this paper, we study variational inequality systems with quasilinear degenerate parabolic operators in a bounded domain. As a series of penalty problems, the existence of the solutions in the weak sense is proved by a limit process.
Jia Li, Changchun Bi
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Non-uniqueness for the Transport Equation with Sobolev Vector Fields [PDF]
Annals of PDE, 2017 We construct a large class of examples of non-uniqueness for the linear transport equation and the transport-diffusion equation with divergence-free vector fields in Sobolev spaces W1,p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
S. Modena, L. Székelyhidi
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Uniqueness and Non-uniqueness in the Einstein Constraints [PDF]
, 2003 The conformal thin sandwich (CTS) equations are a set of four of the Einstein equations, which generalize the Laplace-Poisson equation of Newton's theory.
Arand, M. +8 more
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External Uniqueness Is Unique Enough [PDF]
, 2003 External uniqueness is a surprising new way to add unique references to an OOPL. The idea is that an externally unique reference is the only reference into an aggregate from outside the aggregate. Internal references which do not escape the boundary of the aggregate are innocuous and therefore permitted.
Tobias Wrigstad, Dave Clarke
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IEEE Transactions on Information Theory, 2008 In this paper we propose a revisitation of the topic of unique decodability and of some fundamental theorems of lossless coding. It is widely believed that, for any discrete source X, every "uniquely decodable" block code satisfies E[l(X_1 X_2 ... X_n)]>= H(X_1,X_2,...,X_n), where X_1, X_2,...,X_n are the first n symbols of the source, E[l(X_1 X_2 ..
DALAI, Marco, LEONARDI, Riccardo
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Uniqueness of an entire function sharing a polynomial with its linear differential polynomial
Ratio Mathematica, 2020 In this paper we consider an entire function when it shares a polynomial with its linear differential polynomial. Our result is an improvement of a result of P. Li.
Imrul Kaish, Nasir Uddin Gazi
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Uniqueness on entire functions and their nth order exact differences with two shared values
Open Mathematics, 2020 Let f(z) be an entire function of hyper order strictly less than 1. We prove that if f(z) and its nth exact difference Δcnf(z){\Delta }_{c}^{n}f(z) share 0 CM and 1 IM, then Δcnf(z)≡f(z){\Delta }_{c}^{n}f(z)\equiv f(z).
Chen Shengjiang, Xu Aizhu
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