Book of Abstracts 9th Faculty of Science PhD Student Symposium

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

The Robin boundary condition for modelling heat transfer

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

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

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

On the thermal flow through a porous annular region

The effect of roughness on the boundary condition on porous wall

Effects of plaque shape on arterial blood flow

Rigorous derivation of the Darcy boundary condition on the porous wall

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

First record of the dinoflagellate Tripos rotundatus in the Adriatic Sea

MHD Flow Through a Perturbed Channel Filled with a Porous Medium

The effective boundary condition on a porous wall

Homogenization of a mixed boundary condition

A note on the MHD flow in a porous channel

Dirichlet vs Neumann

Mathematical model of heat transfer through a conductive pipe

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

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

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

Homogenization and singular perturbation in porous media

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

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 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

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

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

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

On The Lubrication of a Rotating Shaft with Incompressible Micropolar Fluid

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

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

Reaction of the fluid flow on time-dependent boundary perturbation

On the effects of small boundary perturbation on the fluid flow

Asymptotic analysis of the heat conduction problem in a dilated pipe

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

An analysis of the Stokes system with pressure dependent viscosity

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

Interakcija tankog sloja fluida i elastične ploče

An effective model for the lubrication with micropolar fluid

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

Brinkman's law for polymer fluids

Comparison between Darcy and Brinkman laws in a fracture

Second order model in fluid film lubrication

Asimptotička analiza toka nenewtonovskog fluida kroz poroznu sredinu

Low-volume-fraction limit for polymer fluids

On reactive solute transport through a curved pipe

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

Asymptotic expansion for thermal flow through a pipe

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

Low-volume-fraction limit for polymer fluids

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

A simple example of a fluid-structure coupling

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

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

Modeliranje podzemnog odlagališta otpada

Non-isothermal fluid flow through a thin pipe with cooling

Low-volume fraction limit for polymer fluids

Asimptotička analiza neizotermnog toka newtonovskog fluida kroz tanku cijev

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

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

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

Asimptotička analiza toka fluida kroz helikoidalnu cijev

Matematički model toka krvi kroz arteriju

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

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

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

Efektivni rubni uvjeti za laminarni tok na hrapavom rubu

Modeling of an Underground Waste Disposal Site by Upscaling

A note on slip condition on corrugated boundary

Incompressible Newtonian flow through thin pipes

Filtration law for polymer flow through porous media

Existence and regularity of purely viscous polymer flow

Asymptotic Behaviour of the Incompressible Newtonian Flow Through Thin Constricted Fracture

First order asymptotic modeling of a nuclear waste repository

Mathematical modeling of an array of nuclear waste containers

Reduction of dimension for parabolic equations via two-scale convergence

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

Fluid flow through a network of thin pipes

On the Stokes paradox for power law fluids

Averaging of the Navier's law on rapidly oscillating boundary

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

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

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

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

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

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

Derivation of the Reynolds equation for lubrication of a rotating shaft

Boundary and mixed problems for quasi-Newtonian fluids

Decay of a Fluid Flow in a Weakly Permeable Domain

Fluid flow through curved pipes

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

Lower dimensional models in fluid mechanics

Moderately wrinkled plate

A model of a wrinkled plate

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

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

Mathematical Modelling of a Polymer Flow Through a Thin Filter

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

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

Écoulement non newtonien a travers un filtre mince

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

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

Asymptotic Expansion for a Flow in a Periodic Porous Medium

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

Slightly wrinkled plate

Weak non-linear corrections for Darcy's law

Slightly wrinkled plate

Effective fluid flow in a porous medium containing a thin fissure

Loi d'ecoulement non lineaire entre deux plaques ondulees

Effective behaviour of a porous medium containing a thin fissure

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