Works (44)
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)
arxiv.org (repository)
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.
author keywords: Multiscale interface coupling; Poroelasticity; Lumped hydraulic circuit; Operator splitting; Functional iterations
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.
author keywords: Nonlinear poroelasticity; Implicit evolution equations; Quasilinear parabolic; Weak solutions; Energy methods; Incompressible constituents
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.
author keywords: poroelasticity; fluid-poroelastic structure interaction; poroelastic plate; multilay-ered poroelasticity; well-posedness
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.
author keywords: Sensitivity; poro-elastic; poro-visco-elastic; biological tissues; complex-step method
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.
author keywords: Fluid-structure; free boundary; moving boundary; linearization; boundary damping; stability
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.
author keywords: Sensitivity; poro-elastic; poro-visco-elastic; biological tissues; complex-step method
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.
author keywords: Inverse problems; sensitivity with respect to parameters; complex-step method; delay differential equations
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.
author keywords: Fluid-structure; hydro-elasticity; Stokes; elasticity; free boundary; moving boundary; linearization; finite elements; sensitivity
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.
author keywords: Wave equation; regular solutions; critical exponent; super-critical; nonlinear damping
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.
author keywords: Free boundary; nonlinear elasticity; Navier-Stokes; linearization; coupled system; shape derivative
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).
TL;DR:
The paper provides shape derivative analysis for the wave equation with mixed boundary conditions on a moving domain Ω s in the case of non smooth neumann boundary datum by bypassing the classical sensitivity analysis of the state by using parameter differentiability of a functional expressed in the form of Min-Max of a convex-concave Lagrangian with saddle point.
(via Semantic Scholar)
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.
author keywords: Plate; Von Karman; Irrotational; Airy stress; Free boundary conditions; Boundary damping; Non-dissipative; Non-gradient; Attractor; Asymptotic smoothness
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.
author keywords: Wave equation; supercritical source; nonlinear damping; boundary source; interior source; global existence; Nehari manifold; potential well; blow up; energy decay
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.
author keywords: Wave equation; Local existence; Nonlinear damping; Boundary source; Interior source; Critical exponents
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.
author keywords: Wave equation; Local existence; Nonlinear damping; Boundary source; Interior source; Critical exponents
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
Employment
Updated: August 8th, 2023 01:39
2011 - present
NC State University Raleigh, US
Professor
Mathematics
Education
Updated: September 17th, 2020 17:23
2002 - 2008
University of Virginia Charlottesville, VA, US
Ph.D.
Mathematics
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