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5 results on '"Navier-Stokes operator"'

1. Regularization of Brézis pseudomonotone variational inequalities.

Author

Bianchi, M., Kassay, G., and Pini, R.

Abstract

In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Brézis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general set-valued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions. [ABSTRACT FROM AUTHOR]

Published
2021
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2. Regularization of Brézis pseudomonotone variational inequalities

Author

Bianchi, M, Kassay, G, Pini, R, Bianchi, M. P, Bianchi, M, Kassay, G, Pini, R, and Bianchi, M. P

Abstract

In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Brézis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general set-valued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions.

Published
2021

3. Regularization of Brézis pseudomonotone variational inequalities

Author

Rita Pini, Monica Bianchi, Gábor Kassay, Bianchi, M, Kassay, G, and Pini, R

Subjects
Statistics and Probability, 0211 other engineering and technologies, Banach space, B-pseudomonotonicity, 010103 numerical & computational mathematics, 02 engineering and technology, Approximate solutions, 01 natural sciences, Applied mathematics, Equilibrium problem, 0101 mathematics, Approximate solution, Mathematics, Numerical Analysis, 021103 operations research, Applied Mathematics, Regular polygon, Set-valued variational inequality, Set-valued variational inequalities, Settore MAT/05 - ANALISI MATEMATICA, Navies Stokes operators, Regularization (physics), Variational inequality, Navier-Stokes operator, Geometry and Topology, Analysis
Abstract

In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Brezis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general set-valued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions.

Published
2021

4. On One Class of Matrix Differential Operators.

Author

Demidenko, G. V.

Subjects
*DIFFERENTIAL operators, *DIFFERENTIAL equations, *OPERATOR theory, *HAMILTONIAN operator, *SOBOLEV spaces, *BESOV spaces
Abstract

We consider one class of matrix differential operators in the whole space. For this class of operators we establish the isomorphic properties in some special scales of weighted Sobolev spaces and study the regularity properties for solutions to the system of differential equations defined by these operators. The class of operators under consideration contains the stationary Navier–Stokes operator. [ABSTRACT FROM AUTHOR]

Published
2004
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5. On properties of a class of matrix differential operators in Rⁿ

Author

Demidenko, Gennadii

Subjects
Matrix quasi-elliptic operators, Izomorfizm, Navier-Stokes operator, Navier-Stokes operatörü, Mathematics::Analysis of PDEs, Weighted Sobolev spaces, Matris yarı eliptik operatörler, Isomorphism, Ağırlıklı Sobolev boşlukları
Abstract

In the paper we consider a class of matrix quasi-elliptic operators in $R^n$. We establish isomorphic properties of these operators in special weighted Sobolev spaces $W^l_{p,sigma}(R^n)$. From our results a theorem on isomorphism for the Navier-Stokes operator follows.

Published
2002

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