Results 51 to 60 of about 15,216,637 (286)
Well-Posedness for Generalized Set Equilibrium Problems
Abstract and Applied Analysis, 2013 We study the well-posedness for generalized set equilibrium problems (GSEP) and propose two types of the well-posed concepts for these problems in topological vector space settings. These kinds of well-posedness arise from some well-posedness
Yen-Cherng Lin
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Generic well-posedness in minimization problems
Abstract and Applied Analysis, 2005 The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well-posed? We will consider several ways to define the concept of “how
A. Ioffe, R. E. Lucchetti
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Well-posedness and numerical algorithm for the tempered fractional differential equations
Discrete & Continuous Dynamical Systems - B, 2019 Trapped dynamics widely appears in nature, e.g., the motion of particles in viscous cytoplasm. The famous continuous time random walk (CTRW) model with power law waiting time distribution (having diverging first moment) describes this phenomenon. Because
Can Li, W. Deng, Lijing Zhao
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Global Well-Posedness of the Incompressible Magnetohydrodynamics [PDF]
Archive for Rational Mechanics and Analysis, 2018 This paper studies the Cauchy problem of the incompressible magnetohydrodynamic systems with or without viscosity $ $. Under the assumption that the initial velocity field and the displacement of the initial magnetic field from a non-zero constant are sufficiently small in certain weighted Sobolev spaces, the Cauchy problem is shown to be globally ...
Yuan Cai, Zhen Lei
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Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
Advances in Nonlinear Analysis, 2023 In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
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Well-posedness of the Ericksen-Leslie system
, 2012 In this paper, we prove the local well-posedness of the Ericksen-Leslie system, and the global well-posednss for small initial data under the physical constrain condition on the Leslie coefficients, which ensures that the energy of the system is ...
C. Wang +19 more
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On parabolic final value problems and well-posedness [PDF]
, 2018 We prove that a large class of parabolic final value problems is well posed.This results via explicit Hilbert spaces that characterise the data yielding existence, uniqueness and stability of solutions.
Christensen, Ann-Eva, Johnsen, Jon
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On Singular Vortex Patches, I: Well-posedness Issues [PDF]
Memoirs of the American Mathematical Society, 2019 The purpose of this work is to discuss the well-posedness theory of singular vortex patches. Our main results are of two types: well-posedness and ill-posedness.
T. Elgindi, In-Jee Jeong
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Global well-posedness of the short-pulse and sine-Gordon equations in energy space
, 2010 We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space $H^2$. Our analysis relies on local well-posedness results of Sch\"afer & Wayne, the correspondence of the short-pulse equation to the sine-Gordon ...
Ablowitz M.J. +5 more
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Evolution Semigroups in Supersonic Flow-Plate Interactions [PDF]
, 2012 We consider the well-posedness of a model for a flow-structure interaction. This model describes the dynamics of an elastic flexible plate with clamped boundary conditions immersed in a supersonic flow.
Balakrishnan +44 more
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