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2002, Chapman & Hall/CRC research notes in mathematics series, ISBN 9781584882206, Volume 431, xii, 395
Book
Zeitschrift fur Angewandte Mathematik und Physik, ISSN 0044-2275, 08/2017, Volume 68, Issue 4, p. 1
In this work, sufficient conditions are given to prove the existence of at least one nontrivial weak solution for a p(x)-biharmonic problem involving Navier... 
Existence result | p(x)-Biharmonic operator | Variational methods | Navier condition | EXISTENCE | MATHEMATICS, APPLIED | MULTIPLICITY | NONSTANDARD GROWTH | INTEGRALS | SOBOLEV SPACES | VARIABLE EXPONENT | OPERATOR | ELLIPTIC-EQUATIONS | FUNCTIONALS | Community colleges | Resveratrol
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 01/2019, Volume 87, pp. 160 - 164
A new a priori estimate for solutions to Navier–Stokes equations is derived. Uniqueness and existence of these solutions in for all is proved in a class of... 
Global existence and uniqueness | Navier–Stokes equations | EXISTENCE | MATHEMATICS, APPLIED | Navier-Stokes equations | UNIQUENESS
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2018, Volume 56, Issue 3, pp. 1210 - 1242
A family of virtual element methods for the two-dimensional Navier-Stokes equations is proposed and analyzed. The schemes provide a discrete velocity field... 
Polygonal meshes | Virtual element method | Navier-Stokes equations | virtual element method | MATHEMATICS, APPLIED | INTEGRATION | polygonal meshes | EQUATIONS | LINEAR ELASTICITY PROBLEMS | FORMULATION | FRACTURE NETWORK SIMULATIONS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2017, Volume 456, Issue 2, pp. 970 - 991
We analyze a weak formulation of the coupled problem defining the interaction between a free fluid and a poroelastic structure. The problem is governed by the... 
Poroelastic | Navier–Stokes | Biot | Weak formulation | Existence | Darcy | MATHEMATICS, APPLIED | APPROXIMATION | SAFFMAN | JOSEPH | MODEL | FLOW | MATHEMATICS | CONSOLIDATION | INTERFACE BOUNDARY-CONDITION | Navier-Stokes | FRACTURES | BEAVERS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 12/2014, Volume 272, pp. 239 - 250
In this paper, we first present a shift-splitting preconditioner for saddle point problems. The preconditioner is based on a shift-splitting of the saddle... 
Shift-splitting | Saddle point problem | Preconditioning | Convergence | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | NONSYMMETRIC MATRICES | FAST ITERATIVE SOLUTION | INDEFINITE LINEAR-SYSTEMS
Journal Article
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 03/2019, Volume 231, Issue 3, pp. 1983 - 2005
It is shownwithin a mathematical framework based on the suitably defined scale of sparseness of the super-level sets of the positive and negative parts of the... 
ANALYTICITY | MATHEMATICS, APPLIED | MECHANICS | FLUID | DIRECTION | EQUATIONS | VORTICITY | Turbulent flow | Computational fluid dynamics | Computer simulation | Fluid flow | Criteria | Velocity gradient | Mathematical morphology | Algebra | Energy dissipation | Cascades | Vorticity | Scaling | Regularity | Navier-Stokes equations | Mathematics - Analysis of PDEs
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 09/2017, Volume 102, pp. 218 - 228
In this paper we use the tools from harmonic analysis to study the Cauchy problem for Navier–Stokes equations with time-fractional derivative of order ∈ (0,... 
Navier–Stokes equations | Sobolev space | Caputo fractional derivative | Existence | Cauchy problem | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | TIME | PHYSICS, MATHEMATICAL | CONTROLLABILITY | Navier-Stokes equations | MILD SOLUTIONS
Journal Article
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2019, Volume 471, Issue 1-2, pp. 342 - 357
In this paper we prove the existence and uniqueness of a solution to the nonstationary two dimensional system of equations describing miscible liquids with... 
Operator inclusion | Nonconvex potential | Weak solution | Navier–Stokes equation | Generalized subgradient | FRICTION | MATHEMATICS | MATHEMATICS, APPLIED | MODEL | Navier-Stokes equation
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 08/2016, Volume 107, Issue 5, pp. 395 - 418
Journal Article