Results 41 to 50 of about 17,298,525 (250)
On well‐posedness of nonlinear conjugation boundary value problem for analytic functions
Mathematical Modelling and Analysis, 2000 We consider power type nonlinear conjugation problem for analytic functions. Our main question is to make this problem well‐posed, i.e. to find such classes of functions in which this problem possesses a unique solution.
S. V. Rogosin
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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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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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α-Well-Posedness for Mixed Quasi Variational-Like Inequality Problems
Abstract and Applied Analysis, 2011 The concepts of α-well-posedness, α-well-posedness in the generalized sense, L-α-well-posedness and L-α-well-posedness in the generalized sense for mixed quasi variational-like inequality problems are investigated.
Jian-Wen Peng, Jing Tang
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Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition
Boundary Value Problems, 2021 The aim of this work is to prove the well posedness of some posed linear and nonlinear mixed problems with integral conditions. First, an a priori estimate is established for the associated linear problem and the density of the operator range generated ...
Abdelkader Djerad +2 more
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On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces [PDF]
Communications in Partial Differential Equations, 2019 We investigate the existence and uniqueness issues of the 3D incompressible Hall-magnetohydrodynamic system supplemented with initial velocity u0 and magnetic field B0 in critical regularity spaces.
R. Danchin, Jin Tan
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Well-posedness of the plasma-vacuum interface problem [PDF]
, 2013 We consider the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region the flow is governed by the usual compressible MHD equations, while in the vacuum region we consider the pre ...
Secchi, Paolo, Trakhinin, Yuri
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α-Well-Posedness for Quasivariational Inequality Problems
Abstract and Applied Analysis, 2012 We introduce and study the concepts of α-well-posedness and L-α-well-posedness for quasivariational inequality problems having a unique solution and the concepts of α-well-posedness in the generalized sense and L-α-well-posedness in the generalized ...
Jian Wen Peng, Jing Tang
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Smooth solutions for the dyadic model
, 2010 We consider the dyadic model, which is a toy model to test issues of well-posedness and blow-up for the Navier-Stokes and Euler equations. We prove well-posedness of positive solutions of the viscous problem in the relevant scaling range which ...
David Barbato +3 more
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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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