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Modeling Biomaterials

1, 2022

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On determining Navier's slip parameter at a solid boundary in flows of a Navier–Stokes fluid

Physics of fluids (1994), 2024-01, Vol.36 (1)

2024

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On the Classification of Incompressible Fluids and a Mathematical Analysis of the Equations That Govern Their Motion

SIAM journal on mathematical analysis, 2020-01, Vol.52 (2), p.1232-1289

2020

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Thermodynamics of viscoelastic rate-type fluids with stress diffusion

Physics of fluids (1994), 2018-02, Vol.30 (2)

2018

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Coupling the Navier–Stokes–Fourier equations with the Johnson–Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis

Mathematical models & methods in applied sciences, 2024-03, Vol.34 (3), p.417-476

2024

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On evolutionary problems with a-priori bounded gradients

Calculus of variations and partial differential equations, 2023-09, Vol.62 (7), Article 188

2023

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Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion

Advances in nonlinear analysis, 2021-01, Vol.10 (1), p.501-521

2021

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On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids

International journal of engineering science, 2020-09, Vol.154, p.103316, Article 103316

2020

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Large data analysis for Kolmogorov’s two-equation model of turbulence

Nonlinear analysis: real world applications, 2019-12, Vol.50, p.104-143

2019

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A thermodynamic framework for heat‐conducting flows of mixtures of two interacting fluids

Zeitschrift für angewandte Mathematik und Mechanik, 2022-11, Vol.102 (11), p.n/a

2022

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Prevalence and clinical significance of liver function abnormalities in patients with acute heart failure

Biomedical papers of the Medical Faculty of the University Palacký, Olomouc, Czechoslovakia, 2015-09, Vol.159 (3), p.429-436

2015

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The State of Stress and Strain Adjacent to Notches in a New Class of Nonlinear Elastic Bodies

Journal of elasticity, 2019-04, Vol.135 (1-2), p.375-397

2019

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A Gibbs-potential-based framework for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space and its application to three-dimensional micropillar compression

International journal of plasticity, 2016-12, Vol.87, p.114-129

2016

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On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary

Journal of mathematical fluid mechanics, 2023-08, Vol.25 (3), Article 72

2023

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On planar flows of viscoelastic fluids of Giesekus type

Nonlinearity, 2022-12, Vol.35 (12), p.6557-6604

2022

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On compressible Korteweg fluid-like materials

International journal of engineering science, 2010-11, Vol.48 (11), p.1313-1324

2010

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Thermodynamics and Stability of Non-Equilibrium Steady States in Open Systems

Entropy (Basel, Switzerland), 2019-07, Vol.21 (7), p.704

2019

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On the Existence of Integrable Solutions to Nonlinear Elliptic Systems and Variational Problems with Linear Growth

Archive for rational mechanics and analysis, 2017-08, Vol.225 (2), p.717-769

2017

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On nonlinear problems of parabolic type with implicit constitutive equations involving flux

Mathematical models & methods in applied sciences, 2021-09, Vol.31 (10), p.2039-2090

2021

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On the development and generalizations of Cahn–Hilliard equations within a thermodynamic framework

Zeitschrift für angewandte Mathematik und Physik, 2012-02, Vol.63 (1), p.145-169

2012

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Numerical scheme for simulation of transient flows of non-Newtonian fluids characterised by a non-monotone relation between the symmetric part of the velocity gradient and the Cauchy stress tensor

Acta mechanica, 2019-03, Vol.230 (3), p.729-747

2019

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On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response

SIAM journal on mathematical analysis, 2021-01, Vol.53 (4), p.3985-4030

2021

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On a class of compressible viscoelastic rate-type fluids with stress-diffusion

Nonlinearity, 2019-12, Vol.32 (12), p.4665-4681

2019

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Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion

Journal of mathematical fluid mechanics, 2022-08, Vol.24 (3), Article 61

2022

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Modeling Biomaterials

On determining Navier's slip parameter at a solid boundary in flows of a Navier–Stokes fluid

On the Classification of Incompressible Fluids and a Mathematical Analysis of the Equations That Govern Their Motion

Thermodynamics of viscoelastic rate-type fluids with stress diffusion

Positive influence of being overweight/obese on long term survival in patients hospitalised due to acute heart failure

Coupling the Navier–Stokes–Fourier equations with the Johnson–Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis

On evolutionary problems with a-priori bounded gradients

Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion

On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids

Large data analysis for Kolmogorov’s two-equation model of turbulence

A thermodynamic framework for heat‐conducting flows of mixtures of two interacting fluids

Prevalence and clinical significance of liver function abnormalities in patients with acute heart failure

The State of Stress and Strain Adjacent to Notches in a New Class of Nonlinear Elastic Bodies

A Gibbs-potential-based framework for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space and its application to three-dimensional micropillar compression

On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary

On planar flows of viscoelastic fluids of Giesekus type

On compressible Korteweg fluid-like materials

Thermodynamics and Stability of Non-Equilibrium Steady States in Open Systems

On the Existence of Integrable Solutions to Nonlinear Elliptic Systems and Variational Problems with Linear Growth

On nonlinear problems of parabolic type with implicit constitutive equations involving flux

On the development and generalizations of Cahn–Hilliard equations within a thermodynamic framework

Numerical scheme for simulation of transient flows of non-Newtonian fluids characterised by a non-monotone relation between the symmetric part of the velocity gradient and the Cauchy stress tensor

On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response

On a class of compressible viscoelastic rate-type fluids with stress-diffusion

Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion

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