Search Results - "Nguyen, Thieu Huy"
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1
Stable manifolds for semi-linear evolution equations and admissibility of function spaces on a half-line
Published in Journal of mathematical analysis and applications (01-06-2009)“…Consider an evolution family U = ( U ( t , s ) ) t ⩾ s ⩾ 0 on a half-line R + and a semi-linear integral equation u ( t ) = U ( t , s ) u ( s ) + ∫ s t U ( t ,…”
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2
Weighted Stepanov-Like Pseudo Almost Automorphic Solutions for Evolution Equations and Applications
Published in Acta mathematica vietnamica (01-03-2021)“…In this paper, the existence and stability of (weighted) Stepanov-like pseudo almost automorphic solutions are proved for a large class of linear and…”
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3
Attraction Property of Admissible Integral Manifolds and Applications to Fisher-Kolmogorov Model
Published in Taiwanese journal of mathematics (01-04-2016)“…In this paper we investigate the attraction property of an unstable manifold of admissible classes for solutions to the semi-linear evolution equation of the…”
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4
Periodic Motions of Stokes and Navier–Stokes Flows Around a Rotating Obstacle
Published in Archive for rational mechanics and analysis (01-08-2014)“…We prove the existence and uniqueness of periodic motions to Stokes and Navier–Stokes flows around a rotating obstacle D ⊂ R 3 with the complement Ω = R 3 \ D…”
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5
A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems
Published in Archive for rational mechanics and analysis (01-06-2016)“…This article develops a general approach to time periodic incompressible fluid flow problems and semilinear evolution equations. It yields, on the one hand, a…”
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6
Exponential Dichotomy and Stable Manifolds for Differential-Algebraic Equations on the Half-Line
Published in Journal of dynamical and control systems (01-06-2023)“…We study linear and semi-linear differential-algebraic equations (DAEs) on the half-line ℝ + . In our strategy, we first show a characterization for the…”
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7
Admissibly inertial manifolds for a class of semi-linear evolution equations
Published in Journal of Differential Equations (15-03-2013)“…Consider the semi-linear evolution equation du(t)dt+Au(t)=f(t,u). We prove the existence of a new class of inertial manifolds called admissibly inertial…”
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On the existence and regularity of admissibly inertial manifolds with sectorial operators
Published in Dynamical systems (London, England) (03-04-2022)“…Motivated by a predator-prey model with cross-diffusion, we consider the evolution equation of the form where the linear operator is a sectorial operator…”
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9
Inertial manifolds for semi-linear parabolic equations in admissible spaces
Published in Journal of mathematical analysis and applications (15-02-2012)“…We prove the existence of inertial manifolds for the solutions to the semi-linear parabolic equation d u ( t ) d t + A u ( t ) = f ( t , u ) when the partial…”
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10
Existence, uniqueness and conditional stability of periodic solutions to evolution equations
Published in Journal of mathematical analysis and applications (15-01-2016)“…Using an ergodic approach, we investigate the condition for existence and uniqueness of periodic solutions to linear evolution equation u˙=A(t)u+f(t), t≥0, and…”
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11
Conditional stability and periodicity of solutions to evolution equations
Published in Journal of evolution equations (01-12-2021)“…We propose a new approach toward the existence and uniqueness of periodic solutions to linear and semilinear evolution equations. Our approach is based on the…”
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12
Invariant manifolds of admissible classes for semi-linear evolution equations
Published in Journal of Differential Equations (01-03-2009)“…Consider an evolution family U = ( U ( t , s ) ) t ⩾ s ⩾ 0 on a half-line R + and a semi-linear integral equation u ( t ) = U ( t , s ) u ( s ) + ∫ s t U ( t ,…”
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13
Parabolic evolution equations in interpolation spaces: boundedness, stability, and applications
Published in Zeitschrift für angewandte Mathematik und Physik (01-04-2020)“…We develop a general approach for the study of the boundedness and stability of solution to general parabolic semi-linear evolution equations in…”
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14
On Periodic Solutions of the Incompressible Navier-Stokes Equations on Non-compact Riemannian Manifolds
Published in Taiwanese journal of mathematics (01-06-2022)“…In this paper, we study the existence, uniqueness and stability of the time periodic mild solutions to the incompressible Navier–Stokes equations on the…”
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15
Admissible inertial manifolds for neutral equations and applications
Published in Dynamical systems (London, England) (02-10-2021)“…We study the existence of admissible inertial manifolds for parabolic neutral functional differential equations of the form where the linear differential…”
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16
Boundedness, almost periodicity and stability of certain Navier–Stokes flows in unbounded domains
Published in Journal of Differential Equations (15-12-2017)“…We investigate the existence, uniqueness and stability of bounded and almost periodic mild solutions to several Navier–Stokes flow problems. In our strategy,…”
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17
Admissibly Stable Manifolds for a Class of Partial Neutral Functional Differential Equations on a Half-line
Published in Taiwanese journal of mathematics (01-08-2019)“…For the following class of partial neutral functional differential equations ∂ ∂ t F u t = B ( t ) u ( t ) + Φ ( t , u t ) t ∈ ( 0 , ∞ ) , u 0 = ϕ ∈ C : =…”
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Admissible Inertial Manifolds for Delay Equations and Applications to Fisher-Kolmogorov Model
Published in Acta applicandae mathematicae (01-08-2018)“…For solutions to the delay equations of the form u ˙ ( t ) + A u ( t ) = f ( t , u t ) , t ∈ R , we prove the existence of an admissible inertial manifold …”
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19
Competition models with diffusion, analytic semigroups, and inertial manifolds
Published in Mathematical methods in the applied sciences (30-11-2018)“…Motivated by a two‐specie competition model with cross‐diffusion in population ecology with time‐dependent environmental capacity, we study the semilinear…”
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20
Integral manifolds for partial functional differential equations in admissible spaces on a half-line
Published in Journal of mathematical analysis and applications (15-03-2014)“…In this paper we investigate the existence of stable and center-stable manifolds for solutions to partial functional differential equations of the form…”
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