Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 07/2018, Volume 38, Issue 7, pp. 3387 - 3405

In this paper, we investigate Navier-Stokes-Oseen equation describing flows of incompressible viscous fluid passing a translating and rotating obstacle. The...

Almost periodic weak mild solutions | Bounded | Time-local mild solutions | Translating obstacle | Navier-Stokes-Oseen equation | Rotating | Navier-Stokes equation | Oseen operator | EXISTENCE | MATHEMATICS, APPLIED | RIGID-BODY | STABILITY | EQUATIONS | time-local mild solutions | UNIQUENESS | MATHEMATICS | OPERATOR | REGULARITY | rotating and translating obstacle | Bounded and almost periodic weak mild solutions | WEAK SOLUTIONS | DOMAINS | TIME-PERIODIC SOLUTIONS

Almost periodic weak mild solutions | Bounded | Time-local mild solutions | Translating obstacle | Navier-Stokes-Oseen equation | Rotating | Navier-Stokes equation | Oseen operator | EXISTENCE | MATHEMATICS, APPLIED | RIGID-BODY | STABILITY | EQUATIONS | time-local mild solutions | UNIQUENESS | MATHEMATICS | OPERATOR | REGULARITY | rotating and translating obstacle | Bounded and almost periodic weak mild solutions | WEAK SOLUTIONS | DOMAINS | TIME-PERIODIC SOLUTIONS

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 11/2017, Volume 74, Issue 10, pp. 2281 - 2297

In this paper, we discuss the bounded solutions, stationary solutions, periodic solutions, almost periodic solutions, almost automorphic solutions for...

Stochastic reaction–diffusion equation | Almost automorphic solutions | Bounded solutions | Periodic solutions | Stationary solutions | Almost periodic solutions | MATHEMATICS, APPLIED | BIRTH-DEATH PROCESSES | Stochastic reaction-diffusion equation | DIFFERENTIAL-EQUATIONS | DRIVEN | PSEUDO | AUTOMORPHIC SOLUTIONS

Stochastic reaction–diffusion equation | Almost automorphic solutions | Bounded solutions | Periodic solutions | Stationary solutions | Almost periodic solutions | MATHEMATICS, APPLIED | BIRTH-DEATH PROCESSES | Stochastic reaction-diffusion equation | DIFFERENTIAL-EQUATIONS | DRIVEN | PSEUDO | AUTOMORPHIC SOLUTIONS

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2009, Volume 246, Issue 8, pp. 3089 - 3108

We consider the existence and uniqueness of bounded solutions of periodic evolution equations of the form , where is, in general, an unbounded operator...

Almost automorphy | Almost periodicity | Periodic evolution equation | Bounded solution | Existence and uniqueness | Circular spectrum | MATHEMATICS | FUNCTION-SPACES | SEMIGROUPS | CAUCHY-PROBLEMS | OPERATORS | FUNCTIONAL-DIFFERENTIAL EQUATIONS

Almost automorphy | Almost periodicity | Periodic evolution equation | Bounded solution | Existence and uniqueness | Circular spectrum | MATHEMATICS | FUNCTION-SPACES | SEMIGROUPS | CAUCHY-PROBLEMS | OPERATORS | FUNCTIONAL-DIFFERENTIAL EQUATIONS

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 03/2013, Volume 80, pp. 135 - 149

In this paper, we introduce the concept of -asymptotically -periodicity in the Stepanov sense. We study some properties of the space consisting of...

Stepanov asymptotically periodic functions | Semigroups of bounded linear operators | [formula omitted]-asymptotically periodic functions | Abstract differential equations | S -asymptotically periodic functions | S-asymptotically periodic functions | MATHEMATICS | MATHEMATICS, APPLIED | Differential equations

Stepanov asymptotically periodic functions | Semigroups of bounded linear operators | [formula omitted]-asymptotically periodic functions | Abstract differential equations | S -asymptotically periodic functions | S-asymptotically periodic functions | MATHEMATICS | MATHEMATICS, APPLIED | Differential equations

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 12/2017, Volume 263, Issue 12, pp. 8979 - 9002

We investigate the existence, uniqueness and stability of bounded and almost periodic mild solutions to several Navier–Stokes flow problems. In our strategy,...

Almost periodicity | Stokes operator | Navier–Stokes flows in Besov Spaces | Oseen operator | Bounded solutions and stability | Navier–Stokes–Oseen equations | APERTURE DOMAIN | EXISTENCE | Navier-Stokes flows in Besov Spaces | ROTATING OBSTACLE | WHOLE SPACE | BESOV-SPACES | EQUATIONS | ILL-POSEDNESS | NONSTATIONARY STOKES | MATHEMATICS | OPERATOR | Navier-Stokes-Oseen equations | PERTURBED HALF-SPACE | Fluid dynamics

Almost periodicity | Stokes operator | Navier–Stokes flows in Besov Spaces | Oseen operator | Bounded solutions and stability | Navier–Stokes–Oseen equations | APERTURE DOMAIN | EXISTENCE | Navier-Stokes flows in Besov Spaces | ROTATING OBSTACLE | WHOLE SPACE | BESOV-SPACES | EQUATIONS | ILL-POSEDNESS | NONSTATIONARY STOKES | MATHEMATICS | OPERATOR | Navier-Stokes-Oseen equations | PERTURBED HALF-SPACE | Fluid dynamics

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2014, Volume 419, Issue 1, pp. 94 - 113

Consider in a real Hilbert space the differential equation (inclusion) ( ): a.e. in , with the condition ( ): , where is a (possibly set-valued) maximal...

Smoothing effect | Weak solution | Strong solution | The method of artificial viscosity | Bounded solution | Minimization problem | MATHEMATICS, APPLIED | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | ORDER EVOLUTION-EQUATIONS | BOUNDED SOLUTIONS | OPERATORS | STRONG-CONVERGENCE

Smoothing effect | Weak solution | Strong solution | The method of artificial viscosity | Bounded solution | Minimization problem | MATHEMATICS, APPLIED | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | ORDER EVOLUTION-EQUATIONS | BOUNDED SOLUTIONS | OPERATORS | STRONG-CONVERGENCE

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 1994, Volume 23, Issue 7, pp. 849 - 870

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 08/2002, Volume 354, Issue 8, pp. 3181 - 3205

The main goal of the present paper is to define the solution operator (\xi,g)\mapsto u associated to the evolution equation du=(Au)dt+dg, u(0)=\xi, where A...

Topological compactness | Topological theorems | Evolution equations | Infinitesimals | Semigroups | Mathematical functions | Topology | Banach space | Cauchy problem | semigroup | Linear evolution equation | Vector-valued function of bounded variation | Compactness of the solution operator | MATHEMATICS | PERIODIC-SOLUTIONS | DIFFERENTIAL-EQUATIONS | LOCAL EXISTENCE THEOREMS | BANACH-SPACES

Topological compactness | Topological theorems | Evolution equations | Infinitesimals | Semigroups | Mathematical functions | Topology | Banach space | Cauchy problem | semigroup | Linear evolution equation | Vector-valued function of bounded variation | Compactness of the solution operator | MATHEMATICS | PERIODIC-SOLUTIONS | DIFFERENTIAL-EQUATIONS | LOCAL EXISTENCE THEOREMS | BANACH-SPACES

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 12/2017, Volume 68, Issue 6, pp. 1 - 19

Existence results for radially symmetric oscillating solutions for a class of nonlinear autonomous Helmholtz equations are given and their exact asymptotic...

Standing waves | Engineering | 35J20 | Mathematical Methods in Physics | Nonlinear Helmholtz equations | Oscillating solutions | 35Q55 | 35J05 | Theoretical and Applied Mechanics | EXISTENCE | RADIAL SOLUTIONS | MATHEMATICS, APPLIED | SCALAR FIELD-EQUATIONS | BOUNDED SOLUTIONS | Mathematics - Analysis of PDEs

Standing waves | Engineering | 35J20 | Mathematical Methods in Physics | Nonlinear Helmholtz equations | Oscillating solutions | 35Q55 | 35J05 | Theoretical and Applied Mechanics | EXISTENCE | RADIAL SOLUTIONS | MATHEMATICS, APPLIED | SCALAR FIELD-EQUATIONS | BOUNDED SOLUTIONS | Mathematics - Analysis of PDEs

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 1985, Volume 9, Issue 1, pp. 79 - 101

Journal Article

Journal of Evolution Equations, ISSN 1424-3199, 3/2012, Volume 12, Issue 1, pp. 1 - 26

The aim of this paper is to study the behavior of bounded solutions of parabolic equations on the whole real line under perturbation of the underlying domain....

Parabolic equations | Bounded solutions | Exponential dichotomy | Analysis | Secondary 35K10 | Primary 35B20 | Mathematics | Domain perturbation | MATHEMATICS | MATHEMATICS, APPLIED | VARYING DOMAINS | CONVERGENCE

Parabolic equations | Bounded solutions | Exponential dichotomy | Analysis | Secondary 35K10 | Primary 35B20 | Mathematics | Domain perturbation | MATHEMATICS | MATHEMATICS, APPLIED | VARYING DOMAINS | CONVERGENCE

Journal Article

Fractional Calculus and Applied Analysis, ISSN 1311-0454, 10/2016, Volume 19, Issue 5, pp. 1161 - 1199

Fractional (in time and in space) evolution equations defined on Dirichlet regular bounded open domains, driven by fractional integrated in time Gaussian...

60G12 | 60G22 | Secondary 60G20 | Gaussian spatiotemporal white noise measure | Riemannan-Liouville fractional integral and derivative | Dirichlet regular bounded open domains | stochastic boundary value problems | eigenfunction expansion | Mittag-Leffler function | Primary 60G60 | 60G17 | Caputo-Djrbashian fractional-in-time derivative | fractional pseudodifferential elliptic operators | 60G15 | MATHEMATICS, APPLIED | KINETIC-EQUATIONS | NOISE | DRIVEN | DIFFUSION EQUATION | RANDOM-FIELDS | MATHEMATICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | RANDOM-WALK | WAVE-EQUATIONS | Random noise theory | Stochastic differential equations | Research | Mathematical research

60G12 | 60G22 | Secondary 60G20 | Gaussian spatiotemporal white noise measure | Riemannan-Liouville fractional integral and derivative | Dirichlet regular bounded open domains | stochastic boundary value problems | eigenfunction expansion | Mittag-Leffler function | Primary 60G60 | 60G17 | Caputo-Djrbashian fractional-in-time derivative | fractional pseudodifferential elliptic operators | 60G15 | MATHEMATICS, APPLIED | KINETIC-EQUATIONS | NOISE | DRIVEN | DIFFUSION EQUATION | RANDOM-FIELDS | MATHEMATICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | RANDOM-WALK | WAVE-EQUATIONS | Random noise theory | Stochastic differential equations | Research | Mathematical research

Journal Article

13.
Full Text
A Partial Splitting Augmented Lagrangian Method for Low Patch-Rank Image Decomposition

Journal of Mathematical Imaging and Vision, ISSN 0924-9907, 1/2015, Volume 51, Issue 1, pp. 145 - 160

Following the recent work Schaeffer and Osher (SIAM J Imaging Sci 6:226–262, 2013), the low patch-rank interpretation for the oscillating patterns of an image...

Alternating direction method of multipliers | Mathematical Methods in Physics | Signal, Image and Speech Processing | Computer Science | Image Processing and Computer Vision | Low-rank | Image decomposition | Applications of Mathematics | Convex programming | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | CARTOON | RESTORATION | ALGORITHMS | TOTAL VARIATION MINIMIZATION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | BOUNDED VARIATION

Alternating direction method of multipliers | Mathematical Methods in Physics | Signal, Image and Speech Processing | Computer Science | Image Processing and Computer Vision | Low-rank | Image decomposition | Applications of Mathematics | Convex programming | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | CARTOON | RESTORATION | ALGORITHMS | TOTAL VARIATION MINIMIZATION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | BOUNDED VARIATION

Journal Article

Advances in Mathematics, ISSN 0001-8708, 02/2019, Volume 343, pp. 36 - 109

The paper is devoted to constructing the global solutions around global Maxwellians to the initial-boundary value problem on the Boltzmann equation in general...

Large-amplitude initial data | Boltzmann equation | Diffuse reflection boundary | A priori estimate | Bounded domain | Global well-posedness | SYSTEM | GLOBAL EXISTENCE | CUTOFF | DECAY | STABILITY | TIME | DIFFUSE REFLECTION | CRITICAL BESOV SPACE | MATHEMATICS | CLASSICAL-SOLUTIONS | EQUILIBRIUM

Large-amplitude initial data | Boltzmann equation | Diffuse reflection boundary | A priori estimate | Bounded domain | Global well-posedness | SYSTEM | GLOBAL EXISTENCE | CUTOFF | DECAY | STABILITY | TIME | DIFFUSE REFLECTION | CRITICAL BESOV SPACE | MATHEMATICS | CLASSICAL-SOLUTIONS | EQUILIBRIUM

Journal Article

Journal of Spectral Theory, ISSN 1664-039X, 2014, Volume 4, Issue 4, pp. 815 - 840

Recent results of Denisov [5] and Kaluzhny-Shamis [9] describe the absolutely continuous spectrum of Jacobi matrices with coefficients that obey an l(2)...

Absolutely continuous spectrum | OPUC | Bounded variation | CMV matrix | bounded variation | MATHEMATICS | MATHEMATICS, APPLIED | TRANSFER-MATRICES | ORTHOGONAL POLYNOMIALS | absolutely continuous spectrum | JACOBI MATRICES | SCHRODINGER | CMV

Absolutely continuous spectrum | OPUC | Bounded variation | CMV matrix | bounded variation | MATHEMATICS | MATHEMATICS, APPLIED | TRANSFER-MATRICES | ORTHOGONAL POLYNOMIALS | absolutely continuous spectrum | JACOBI MATRICES | SCHRODINGER | CMV

Journal Article

Foundations of Computational Mathematics, ISSN 1615-3375, 12/2013, Volume 13, Issue 6, pp. 965 - 1003

In this paper, we study linear trigonometric hyperbolic cross approximations, Kolmogorov n-widths d n (W,H γ ), and ε-dimensions n ε (W,H γ ) of periodic...

Economics general | Sobolev space | Linear and Multilinear Algebras, Matrix Theory | Mathematics | Kolmogorov n -widths | 41A25 | 41A63 | Numerical Analysis | Trigonometric hyperbolic cross space | 42A10 | High-dimensional approximation | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Function classes with anisotropic smoothness | ε -dimensions | ε-dimensions | Kolmogorov n-widths | MATHEMATICS, APPLIED | GRIDS | SPACES | ELECTRONIC SCHRODINGER-EQUATION | SPARSE FINITE-ELEMENTS | epsilon-dimensions | INTERPOLATION | MATHEMATICS | ELLIPTIC PROBLEMS | VARIABLES | COMPUTER SCIENCE, THEORY & METHODS | BOUNDED MIXED DERIVATIVES

Economics general | Sobolev space | Linear and Multilinear Algebras, Matrix Theory | Mathematics | Kolmogorov n -widths | 41A25 | 41A63 | Numerical Analysis | Trigonometric hyperbolic cross space | 42A10 | High-dimensional approximation | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Function classes with anisotropic smoothness | ε -dimensions | ε-dimensions | Kolmogorov n-widths | MATHEMATICS, APPLIED | GRIDS | SPACES | ELECTRONIC SCHRODINGER-EQUATION | SPARSE FINITE-ELEMENTS | epsilon-dimensions | INTERPOLATION | MATHEMATICS | ELLIPTIC PROBLEMS | VARIABLES | COMPUTER SCIENCE, THEORY & METHODS | BOUNDED MIXED DERIVATIVES

Journal Article

1982, ISBN 9780262192057, 3 v.

Book

1975, ISBN 9780080180960, 2 v. (xlviii, 666 p.)

Book

Combustion Theory and Modelling, ISSN 1364-7830, 04/2012, Volume 16, Issue 2, pp. 275 - 299

The complex oscillatory behaviour observed in fuel-lean premixed hydrogen/air atmospheric pressure flames in an open planar channel with prescribed wall...

spectral element method | period doubling cascade | flame dynamics in wall-bounded flows | mixed mode oscillations | intermittency | FLAMES | COMPLEX | ENERGY & FUELS | STATE | LAMINAR | INSTABILITIES | ENGINEERING, CHEMICAL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | THERMODYNAMICS | OSCILLATIONS

spectral element method | period doubling cascade | flame dynamics in wall-bounded flows | mixed mode oscillations | intermittency | FLAMES | COMPLEX | ENERGY & FUELS | STATE | LAMINAR | INSTABILITIES | ENGINEERING, CHEMICAL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | THERMODYNAMICS | OSCILLATIONS

Journal Article

Journal of Fluid Mechanics, ISSN 0022-1120, 8/2008, Volume 608, pp. 81 - 112

Fully developed incompressible turbulent pipe flow at bulk-velocity- and pipediameter-based Reynolds number ReD=44000 was simulated with second-order...

INTERMEDIATE REGION | MECHANICS | NAVIER-STOKES EQUATIONS | LARGE-EDDY SIMULATION | PHYSICS, FLUIDS & PLASMAS | WALL-BOUNDED TURBULENCE | CHANNEL FLOWS | LARGE-SCALE | LAYER | POWER-LAW | Fluid mechanics | Flow velocity | Turbulent flow | Simulation | Reynolds number

INTERMEDIATE REGION | MECHANICS | NAVIER-STOKES EQUATIONS | LARGE-EDDY SIMULATION | PHYSICS, FLUIDS & PLASMAS | WALL-BOUNDED TURBULENCE | CHANNEL FLOWS | LARGE-SCALE | LAYER | POWER-LAW | Fluid mechanics | Flow velocity | Turbulent flow | Simulation | Reynolds number

Journal Article

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