Updated: April 4th, 2024 05:24

2023 journal article

Mathematical effects of linear visco-elasticity in quasi-static Biot models ✩

*JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS*, *527*(2).

author keywords: Poroelasticity; Implicit evolution equations; Strong damping; Viscoelasticity

TL;DR:
The full, coupled pressure-displacement presentation of the system is utilized, as well as the framework of implicit, degenerate evolution equations, to demonstrate such effects and characterize linear poro-visco-elastic systems.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: August 7, 2023

2022 journal article

Numerical simulation and analysis of multiscale interface coupling between a poroelastic medium and a lumped hydraulic circuit: Comparison between functional iteration and operator splitting methods

*JOURNAL OF COMPUTATIONAL PHYSICS*, *466*.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

7. Affordable and Clean Energy
(OpenAlex)

Sources: ORCID, Web Of Science, NC State University Libraries

Added: June 18, 2022

2022 journal article

Weak solutions in nonlinear poroelasticity with incompressible constituents

*NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS*, *67*.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: May 31, 2022

2021 journal article

MULTILAYERED POROELASTICITY INTERACTING WITH STOKES FLOW

*SIAM JOURNAL ON MATHEMATICAL ANALYSIS*, *53*(6), 6243–6279.

Sources: Web Of Science, ORCID, NC State University Libraries

Added: January 10, 2022

2021 journal article

Nonlinear quasi-static poroelasticity & nbsp;

Nonlinear quasi-static poroelasticity & nbsp; *JOURNAL OF DIFFERENTIAL EQUATIONS*, *296*, 242–278.

author keywords: Poroelasticity; Nonlinear coupling; Implicit evolution; Fixed point methods

Sources: Web Of Science, NC State University Libraries

Added: July 19, 2021

2021 article

Optimal control in poroelasticity

Bociu, L., & Strikwerda, S. (2021, November 27). *APPLICABLE ANALYSIS*, Vol. 11.

author keywords: Poroelasticity; optimal control; adjoint system; necessary optimality conditions

TL;DR:
This paper focuses on linear quadratic elliptic-parabolic control problems, with both distributed and boundary controls, and proves existence and uniqueness of optimal control, and derives the first order necessary optimality conditions.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: December 6, 2021

2020 journal article

Minimizing drag in a moving boundary fluid-elasticity interaction

*NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS*, *197*.

author keywords: Control problem; Minimization of drag; Moving boundary; Fluid-structure interaction

Sources: Web Of Science, NC State University Libraries

Added: June 22, 2020

2019 journal article

LOCAL SENSITIVITY VIA THE COMPLEX-STEP DERIVATIVE APPROXIMATION FOR 1D PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS

*MATHEMATICAL CONTROL AND RELATED FIELDS*, *9*(4), 623–642.

Sources: Web Of Science, NC State University Libraries

Added: December 2, 2019

2019 journal article

On the role of compressibility in poroviscoelastic models

*MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *16*(5), 6167–6208.

author keywords: porous media flow; viscoelasticity; explicit solutions; well-posedness; compressible components

TL;DR:
Analysis of a poroviscoelastic mixture model stemming from the classical Biot's consolidation model for poroelastic media, comprising a fluid component and a solid component, coupled with a viscoelastic stress-strain relationship for the total stress tensor finds that compressibility allows the system to store potential energy as its components are elastically compressed.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

7. Affordable and Clean Energy
(OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: August 26, 2019

2019 journal article

PORO-VISCO-ELASTIC MODELS IN BIOMECHANICS: SENSITIVITY ANALYSIS

*Communications in Applied Analysis*.

Source: ORCID

Added: September 18, 2020

2018 journal article

FEEDBACK STABILIZATION OF A LINEAR HYDRO-ELASTIC SYSTEM

*DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B*, *23*(3), 1107–1132.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2018 journal article

THE ROLE OF STRUCTURAL VISCOELASTICITY IN DEFORMABLE POROUS MEDIA WITH INCOMPRESSIBLE CONSTITUENTS: APPLICATIONS IN BIOMECHANICS

*MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *15*(4), 933–959.

author keywords: Deformable porous media flow; incompressible constituents; viscoelasticity; explicit solution; velocity blow-up; confined compression

MeSH headings : Biomechanical Phenomena; Biophysical Phenomena; Elasticity; Humans; Hydrodynamics; Mathematical Concepts; Models, Biological; Nonlinear Dynamics; Porosity; Tissue Engineering; Viscosity

TL;DR:
For the first time, it is shown that the fluid velocity within the medium could increase tremendously, even up to infinity, should the external applied load experience sudden changes in time and the structural viscoelasticity be too small.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: October 29, 2018

2017 journal article

SENSITIVITY ANALYSIS IN PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS WITH RESPECT TO BOUNDARY DATA

*QUARTERLY OF APPLIED MATHEMATICS*, *75*(4), 697–735.

TL;DR:
Sensitivity analysis is the first step towards optimization and control problems associated with these models, which is the ultimate goal.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2017 journal article

SENSITIVITY VIA THE COMPLEX-STEP METHOD FOR DELAY DIFFERENTIAL EQUATIONS WITH NON-SMOOTH INITIAL DATA

*QUARTERLY OF APPLIED MATHEMATICS*, *75*(2), 231–248.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2016 journal article

Analysis of Nonlinear Poro-Elastic and Poro-Visco-Elastic Models

*Archive for Rational Mechanics and Analysis*, *222*(3), 1445–1519.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Web Of Science, Crossref, NC State University Libraries

Added: August 6, 2018

2016 journal article

Free Boundary Fluid-Elasticity Interactions: Adjoint Sensitivity Analysis

*New Trends in Differential Equations, Control Theory and Optimization*.

Source: ORCID

Added: September 18, 2020

2016 conference paper

Free boundary fluid-elasticity interactions: Adjoint sensitivity analysis

*New Trends in Differential Equations, Control Theory and Optimization*. Presented at the 8th Congress of Romanian Mathematicians.

Event: 8th Congress of Romanian Mathematicians

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2016 journal article

Hyperbolic Equations with Mixed Boundary Conditions: Shape Differentiability Analysis

*Applied Mathematics & Optimization*, *76*(2), 375–398.

Sources: Crossref, NC State University Libraries

Added: July 28, 2019

2016 journal article

LINEARIZED HYDRO-ELASTICITY: A NUMERICAL STUDY

*EVOLUTION EQUATIONS AND CONTROL THEORY*, *5*(4), 533–559.

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2015 journal article

A pseudo-extractor approach to hidden boundary regularity for the wave equation with mixed boundary conditions

*JOURNAL OF DIFFERENTIAL EQUATIONS*, *259*(11), 5688–5708.

author keywords: Wave equation; Neumann boundary conditions; Pseudo-extractor; Boundary regularity

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2015 conference paper

Optimal control in a free boundary fluid-elasticity interaction

*Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain)*. Presented at the The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain).

Event: The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain)

Sources: Crossref, NC State University Libraries

Added: July 28, 2019

2015 journal article

The complex-step method for sensitivity analysis of non-smooth problems arising in biology

*Eurasian Journal of Mathematical and Computer Applications*, *3*(3), 16–68.

Source: NC State University Libraries

Added: July 28, 2019

2015 journal article

WELL-POSEDNESS ANALYSIS FOR A LINEARIZATION OF A FLUID-ELASTICITY INTERACTION

*SIAM JOURNAL ON MATHEMATICAL ANALYSIS*, *47*(3), 1958–2000.

author keywords: fluid-structure; free boundary; moving boundary; linearization; well-posedness; semigroup

TL;DR:
The well-posedness of a total linearization, with respect to a perturbation of the external forcing, of a free-boundary nonlinear elasticity--incompressible fluid interaction is studied.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2014 journal article

Corrigendum to “Attractors for non-dissipative irrotational von Karman plates with boundary damping” [J. Differential Equations 253 (12) (2012) 3568–3609]

*Journal of Differential Equations*, *256*(2), 893.

UN Sustainable Development Goal Categories

13. Climate Action
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: August 28, 2020

2014 journal article

ERRATA: REGULAR SOLUTIONS OF WAVE EQUATIONS WITH SUPER-CRITICAL SOURCES AND EXPONENTIAL-TO-LOGARITHMIC DAMPING

*EVOLUTION EQUATIONS AND CONTROL THEORY*, *3*(2), 349–354.

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2013 journal article

Sensitivity analysis for a free boundary fluid-elasticity interaction

*Evolution Equations and Control Theory*, *2*(1), 55–79.

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2013 chapter

Strong Shape Derivative for the Wave Equation with Neumann Boundary Condition

In *IFIP Advances in Information and Communication Technology* (pp. 445–460).

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2013 journal article

Strong shape derivative for the wave equation with Neumann boundary condition

*D. Homberg and F. Troltzsch (Eds.): CSMO 2011, IFIP AICT 391, International Federation for Information Processing*.

Source: ORCID

Added: September 18, 2020

2013 journal article

Wave equations with nonlinear sources and damping: weak vs. regular solutions

*Palestine Journal of Mathematics*, *2*(2), 175–186.

Source: NC State University Libraries

Added: July 10, 2019

2012 journal article

Attractors for non-dissipative irrotational von Karman plates with boundary damping

*JOURNAL OF DIFFERENTIAL EQUATIONS*, *253*(12), 3568–3609.

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 journal article

Wave equations with super-critical interior and boundary nonlinearities

*Mathematics and Computers in Simulation*, *82*(6), 1017–1029.

author keywords: Wave; Super-critical source; Nonlinear damping; Existence; Uniqueness; Energy decay

TL;DR:
A unified overview of the latest, to date, results on boundary value problems for wave equations with super-critical nonlinear sources on both the interior and the boundary of a bounded domain @W@?R^n is presented.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2011 chapter

Existence for the linearization of a steady state fluid/nonlinear elasticity interaction

In *Discrete and Continuous Dynamical Systems* (pp. 184–197).

Sources: Crossref, NC State University Libraries

Added: December 22, 2020

2011 chapter

Linearization of a Coupled System of Nonlinear Elasticity and Viscous Fluid

In *Modern Aspects of the Theory of Partial Differential Equations* (pp. 93–120).

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2011 journal article

On a wave equation with supercritical interior and boundary sources and damping terms

*Mathematische Nachrichten*, *284*(16), 2032–2064.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2010 journal article

Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping

*Journal of Differential Equations*, *249*(3), 654–683.

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2009 journal article

Existence and Uniqueness of Weak Solutions to the Cauchy Problem of a Semilinear Wave Equation with Supercritical Interior Source and Damping

*Dynamical Systems and Differential Equations - S*.

Source: ORCID

Added: September 18, 2020

2009 chapter

Existence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping

In *Dynamical Systems and Differential Equations* (pp. 60–71).

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Source: Crossref

Added: December 22, 2020

2009 journal article

Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping

*Nonlinear Analysis: Theory, Methods & Applications*, *71*(12), e560–e575.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2008 journal article

Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping

*Applicationes Mathematicae*, *35*(3), 281–304.

Sources: Crossref, NC State University Libraries

Added: July 28, 2019

2008 thesis

Existence, Uniqueness, and Blow-up of Solutions to Wave Equations with Supercritical Boundary/interior Sources and Damping

Source: ORCID

Added: September 18, 2020

2008 journal article

Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping

*Discrete and Continuous Dynamical Systems*, *22*(4), 835–860.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: July 28, 2019

2006 conference paper

Wellposedness and Blow-up of Solutions to Wave Equations with Supercritical Boundary Sources and Boundary Damping

*Proceedings of the Conference on Differential and Difference Equations and Applications*, 635–643. Hindawi Publishing Corporation.

Source: NC State University Libraries

Added: July 28, 2019

2006 journal article

Wellposedness and Blow-up of Solutions to Wave Equations with Supercritical Boundary Sources and Boundary Damping

*Proceedings of the Conference on Differential and Difference Equations and Applications*.

Source: ORCID

Added: September 18, 2020

journal article

Multilayered Poroelasticity Interacting with Stokes Flow

*SIAM Journal on Mathematical Analysis*.

Source: ORCID

Added: August 14, 2021

Updated: August 8th, 2023 01:39

2011 - present

Updated: September 17th, 2020 17:23

2002 - 2008

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