Updated: April 11th, 2023 10:13

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

Sources: ORCID, Web Of Science

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

Sources: Web Of Science, ORCID

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

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, ORCID

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

Sources: Web Of Science, ORCID

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, ORCID

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, ORCID

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

Sources: Web Of Science, ORCID

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

Sources: Web Of Science, ORCID

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

Sources: Web Of Science, ORCID

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.

Sources: Web Of Science, ORCID

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

Sources: Web Of Science, ORCID

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.

Sources: Web Of Science, Crossref, ORCID

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, ORCID

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, ORCID

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

Sources: Web Of Science, ORCID

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, ORCID

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, ORCID

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

Sources: Web Of Science, ORCID

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.

Sources: Crossref, ORCID

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, ORCID

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, ORCID

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, ORCID

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, ORCID

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

Sources: Crossref, ORCID

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, ORCID

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, ORCID

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

Sources: Crossref, ORCID

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, ORCID

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).

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.

Sources: Crossref, ORCID

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, ORCID

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.

Sources: Crossref, ORCID

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: September 17th, 2020 17:21

2011 - present

Updated: September 17th, 2020 17:23

2002 - 2008