Results 21 to 30 of about 59,515 (231)
Well-posedness analysis of multicomponent incompressible flow models [PDF]
, 2020 In this paper, we extend our study of mass transport in multicomponent isothermal fluids to the incompressible case. For a mixture, incompressibility is defined as the independence of average volume on pressure, and a weighted sum of the partial mass ...
Bothe, Dieter, Druet, Pierre-Etienne
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On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Mathematics, 2021 We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are ...
Lu-Chuan Ceng +5 more
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Well-Posedness Results of Certain Variational Inequalities
Mathematics, 2022 Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and ...
Savin Treanţă
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Tykhonov well-posedness of split problems
Journal of Inequalities and Applications, 2020 In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu +2 more
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Well posedness for evolution inclusions [PDF]
International Journal of Stochastic Analysis, 1994 We prove the existence of a continuous selection of the multivalued map φ → Φ(φ) which is the set of all mild solutions of the evolution inclusion urn:x-wiley:20903332:media:ista615767:ista615767-math-0001 Here F is a multivalued map, Lipschitzian with respect to x, and A is the infinitesimal generator of a C0‐semigroup.
A. Anguraj, Krishnan Balachandran
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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 some variational inequality-constrained control problems
Journal of Inequalities and Applications, 2022 In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrained optimization problems By using the set of ...
Savin Treanţă +2 more
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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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Well-Posedness of the Boundary Layer Equations [PDF]
SIAM Journal on Mathematical Analysis, 2003 Summary: We consider mild solutions of Prandtl equations in the half space. Requiring analyticity only with respect to the tangential variable, we prove the short-time existence and uniqueness of solution in the proper function space. The proof is achieved applying abstract Cauchy-Kowalewski theorem to the boundary layer equations once the convection ...
LOMBARDO, Maria Carmela +2 more
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