Book of Abstracts 9th Faculty of Science PhD Student Symposium

Correctors for the boundary value problem for Darcy equations in porous medium

8th Faculty of Science PhD Student Symposium: Book of Abstracts

On the thermal flow through a porous annular region

Modelling of the fluid flow in a thin domain with injection through permeable boundary

The Robin boundary condition for modelling heat transfer

A note on the asymptotic analysis of heat transfer in flow through dilated pipe

Analytical solution for the magnetohydrodynamic duct flow with slip condition on the perturbed boundary

Rigorous derivation of the Darcy boundary condition on the porous wall

Modelling of the porous medium flow with pressure-dependent viscosity and drag coefficient

Effects of plaque shape on arterial blood flow

First record of the dinoflagellate Tripos rotundatus in the Adriatic Sea

The effect of roughness on the boundary condition on porous wall

Homogenization of a mixed boundary condition

Dirichlet vs Neumann

The effective boundary condition on a porous wall

A note on the MHD flow in a porous channel

MHD Flow Through a Perturbed Channel Filled with a Porous Medium

Application of very weak formulation on homogenization of boundary value problems in porous media

Homogenization and singular perturbation in porous media

5. simpozij studenata doktorskih studija PMF-a : knjiga sažetaka

Modeling 3D–1D Junction via Very-Weak Formulation

Mathematical model of heat transfer through a conductive pipe

Rigorous justification of the effective boundary condition on a porous wall via homogenization

A remark on the derivation of an effective model describing the flow of fluid in a reservoir with small holes

On the Darcy-Brinkman-Boussinesq flow through a thin channel with slightly perturbed boundary

On The Lubrication of a Rotating Shaft with Incompressible Micropolar Fluid

On the Darcy-Brinkman--Boussinesq flow in a thin channel with irregularities

Effects of boundary roughness and inertia on the fluid flow through a corrugated pipe and the formula for the Darcy–Weisbach friction coefficient

Justification of the higher order effective model describing the lubrication of a rotating shaft with micropolar fluid

Inertia and roughness induced effects on the porous medium flow through a corrugated channel

On the Darcy-Brinkman-Boussinesq flow in a thin channel with irregularities

Mathematical modeling of junctions in fluid mechanics via two-scale convergence

On the effects of small boundary perturbation on the fluid flow

Reaction of the fluid flow on time-dependent boundary perturbation

Rigorous justification of the asymptotic model describing a curved-pipe flow in a time- dependent domain

Asymptotic analysis of a thin fluid layer-elastic plate interaction problem

Effective fluid behavior in domain with rough boundary and the Darcy-Weisbach law

Asymptotic analysis of the heat conduction problem in a dilated pipe

Mathematical analysis of the heat conduction problem in a dilated pipe filled with a fluid

Asymptotic analysis of the fluid flow with a pressure-dependent viscosity in a system of thin pipes

Higher-order effective model describing a non- isothermal thin film flow

On the viscous flow through a long pipe with non- constant pressure boundary condition

Effective pressure boundary condition for the filtration through porous medium via homogenization

Effects of viscous dissipation on the fluid flow through a thin domain

On the Darcy-Brinkman flow through a channel with slightly perturbed boundary

Flow of a micropolar fluid through a channel with small boundary perturbation

Flow of a micropolar fluid through a channel with small boundary perturbation

Effective fluid flow trough corrugated pipe and the Darcy-Weisbach law

Heat conduction problem in a dilated pipe: existence and uniqueness result

Nonlinear Brinkman-type law as a critical case in the polymer fluid filtration

Flow of a micropolar fluid through a channel with small boundary perturbation

Effects of small boundary perturbation on flow of viscous fluid

Existence and uniqueness of solution for fluid-plate interaction problem

Boundary perturbation for the Dirichlet boundary value problem

High-order approximations for an incompressible viscous flow on a rough boundary

A note on the Kirchhoff's junction rule for power-law fluids

An analysis of the Stokes system with pressure dependent viscosity

Asymptotic modeling of the thin film flow with a pressure-dependent viscosity

A note on the pipe flow with a pressure-dependent viscosity

Interakcija tankog sloja fluida i elastične ploče

An effective model for the lubrication with micropolar fluid

Brinkman's law for polymer fluids

Analysis of the Reynolds Equation for Lubrication in Case of Pressure-Dependent Viscosity

Asimptotička analiza toka nenewtonovskog fluida kroz poroznu sredinu

Second order model in fluid film lubrication

Comparison between Darcy and Brinkman laws in a fracture

Low-volume-fraction limit for polymer fluids

On reactive solute transport through a curved pipe

Derivation of Reynolds equation for gas lubrication via asymptotic analysis of the compressible Navier–Stokes system

Asymptotic expansion for thermal flow through a pipe

Low-volume-fraction limit for polymer fluids

Scaling up of an underground nuclear waste repository including a possibly damaged zone

On the effects of curved geometry on heat conduction through a distorted pipe

Non-isothermal fluid flow through a thin pipe with cooling

Modeliranje podzemnog odlagališta otpada

Asymptotic analysis of an isothermal gas flow through a long or thin pipe

A simple example of a fluid-structure coupling

Low-volume fraction limit for polymer fluids

Modelling of heat transfer in a laminar flow through a helical pipe

Effects of strong convection on the cooling process for a long or thin pipe

Asimptotička analiza neizotermnog toka newtonovskog fluida kroz tanku cijev

Asymptotic analysis of compressible viscous fluid flow through thin domains

Fluid flow through a helical pipe

A Homogenized Model of an Underground Waste Repository Including a Disturbed Zone

Rigorous justification of the Reynolds equations for gas lubrication

Asimptotička analiza toka fluida kroz helikoidalnu cijev

Matematički model toka krvi kroz arteriju

Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection

Modelling of an underground waste disposal site by upscaling

Effective Fluid Flow through a Helicoidal Pipe

Effective flow of a viscous liquid through a helical pipe

Efektivni rubni uvjeti za laminarni tok na hrapavom rubu

Incompressible Newtonian flow through thin pipes

Modeling of an Underground Waste Disposal Site by Upscaling

Rigorous justification of the Kirchhoff law for junction of thin pipes filled with viscous fluid

A note on slip condition on corrugated boundary

Analysis of nonlinear Reynolds model for air lubrication of magnetic hard disc via elliptic regularization

Filtration law for polymer flow through porous media

Asymptotic Behaviour of the Incompressible Newtonian Flow Through Thin Constricted Fracture

Existence and regularity of purely viscous polymer flow

First order asymptotic modeling of a nuclear waste repository

Mathematical modeling of an array of nuclear waste containers

Fluid flow through a network of thin pipes

Averaging of the Navier's law on rapidly oscillating boundary

Reduction of dimension for parabolic equations via two-scale convergence

Mathematical modeling and numerical simulation of a non-Newtonian flow through a filter

Mathematical Modelling of a Non-Newtonian Viscous Flow through a Thin Filter

On the Stokes paradox for power law fluids

The Effects of Flexion and Torsion on a Fluid Flow Through a Curved Pipe

Boundary and mixed problems for quasi-Newtonian fluids

Correctors for Reynolds equation describing the process of lubrication of a rotating shaft

Derivation of the Reynolds equation for lubrication of a rotating shaft

Steady flow of a non-Newtonian fluid in unbounded channels and pipes

The derivation of a nonlinear filtration law including the inertia effects via homogenization

Solvability of the Navier-Stokes system with L-2 boundary data

Two-scale convergence for thin domains and its applications to some lower-dimensional models in fluid mechanics

Some low-dimensional models for describing the fluid flow through thin domain

Decay of a Fluid Flow in a Weakly Permeable Domain

Fluid flow through curved pipes

A model of a wrinkled plate

Two Methods for Replacing Dirichlet's Condition by Robin's Condition via Penalisation

Moderately wrinkled plate

Mathematical Modelling of a Polymer Flow Through a Thin Filter

Non-Linear Effects for Flow in Periodically Constricted Channel Caused By High Injection Rate

Lower dimensional models in fluid mechanics

The effects of flexion and torsion on a fluid flow through a thin pipe

Asymptotic Expansion for a Flow in a Periodic Porous Medium

Nonlinear effects for a fluid flow in a porous media via homogenization

The effects of flexion and torsion for a fluid flow through a curved pipe

Écoulement non newtonien a travers un filtre mince

Computation of the permeability tensor for the fluid flow through a periodic net of thin channels

Weak non-linear corrections for Darcy's law

Slightly wrinkled plate

An error estimate for correctors in the homogenization of the Stokes and the Navier-Stokes equations in a porous medium

Effective fluid flow in a porous medium containing a thin fissure

Loi d'ecoulement non lineaire entre deux plaques ondulees

Slightly wrinkled plate

On the Mixed Boundary Value Problem for Laplace Equation in Thin Domain

Effective behaviour of a porous medium containing a thin fissure