About: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials

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About: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Projekt, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	http://linked.opendata.cz/ontology/domain/vavai/Projekt
rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=GA201/09/0917
Description	This project proposal focuses on theoretical and computer analysis, and their mutual interplay, related to several classes of evolutionary models that have been recently designed to capture complex behavior of various fluid-like materials within the framework of nonlinear continuum mechanics. The characteristic keywords of these particular classes are implicit constitutive relations, nonlinear rate type fluids, nonlinear integral type fluid-like materials, inhomogeneous incompressible fluids, compressible non-Newtonian fluids, and chemically reacting fluids. Regarding specific applications, we intent to concentrate on unsteady flows of biological liquids and time-dependent processes in geophysical materials. The goal is to develop new methods and tools to solve initial boundary-value problems for large data, both theoretically and numerically. (en) Navrhovaný projekt je zaměřen na teoretickou a počítačovou analýzu několika tříd evolučních modelů, které jsou schopny zachytit složité chování rozličných tekutin v rámci nelineární mechaniky kontinua. Charakteristickými rysy jednotlivých tříd, které jsou předmětem navrhovaného výzkumu, jsou implicitní konstitutivní vztahy, nelineární modely rychlostního typu, nelineární modely integrálního typu, nehomogenní nestlačitelné tekutiny, stlačitelné nenewtonovy tekutiny, a chemicky reagující tekutiny. Výzkum je motivován zejména aplikacemi v mechanice biologických tekutin a v geofyzice. Cílem projektu je vyvinout nové teoretické, numerické a počítačové metody, nástroje a postupy, které by umožnily řešit počáteční a okrajové úlohy těchto modelů pro velká data.
Title	Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials (en) Matematická a počítačová analýza evolučních procesů v nelineárních viskoelastických tekutinách
skos:notation	GA201/09/0917
http://linked.open...avai/cep/aktivita	Standard projects
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F09%2F0917/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F09%2F0917/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2014-07-01 (xsd:date)
http://linked.open...i/cep/druhSouteze	VS - Veřejná soutěž ve výzkumu a vývoji
http://linked.open...ep/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open.../cep/fazeProjektu	100269690
http://linked.open...ai/cep/hlavniObor	BA - Obecná matematika
http://linked.open...hodnoceniProjektu	V - Vynikající výsledky (s mezinárodním významem apod.). Zároveň byly splněny cíle a předpokládané výsledky uvedené ve smlouvě / rozhodnutí o poskytnutí podpory.
http://linked.open...vai/cep/kategorie	ZV - Základní výzkum
http://linked.open.../cep/klicovaSlova	viscoelastic fluid-like material rate type fluid integral type fluid implicit constitutive relationship weak solution existence finite element method finite volume method computer simulation (en)
http://linked.open...ep/partnetrHlavni	Matematicko-fyzikální fakulta
http://linked.open...inujicichPrijemcu	0 (xsd:int)
http://linked.open...cep/pocetPrijemcu	1 (xsd:int)
http://linked.open...ocetSpoluPrijemcu	2 (xsd:int)
http://linked.open.../pocetVysledkuRIV	159 (xsd:int)
http://linked.open...enychVysledkuVRIV	159 (xsd:int)
http://linked.open...lneniVMinulemRoce	2013-06-12 (xsd:date)
http://linked.open.../prideleniPodpory	http://linked.opendata.cz/resource/domain/vavai/cep/prideleniPodpory/201-09-0917
http://linked.open...iciPoslednihoRoku	2013
http://linked.open...atUdajeProjZameru	2014
http://linked.open.../vavai/cep/soutez	SGA02009GA-ST
http://linked.open...usZobrazovaneFaze	DUU
http://linked.open...ai/cep/typPojektu	P - Projekt výzkumu a vývoje financovaný ze státního rozpočtu
http://linked.open...ep/ukonceniReseni	2013-12-31 (xsd:date)
http://linked.open.../cep/vedlejsiObor	BK - Mechanika tekutin
http://linked.open...ep/zahajeniReseni	2009-01-01 (xsd:date)
http://linked.open...jektu+dodavatelem	Tento výjimečně úspěšný projekt se zabýval matematickou analýzou a počítačovými simulacemi počátečních a okrajových úloh v nelineárních modelech mechaniky tekutin. Výrazná pozornost byla věnována analýze modelů v náročných aplikacích deformace asfaltu nebo koagulace v proudící krvi. Seznam dosud uplatněných výsledků obsahuje 103 prací včetně 2 knih, 4 kapitol v monografiích a 9 dizertací. (cs) This very successful project was devoted to mathematical analysis and computer simulations of initial and boundary value problems in nonlinear models of fluid and solid mechanics. Significant attention was paid to models in applications of asphalt deformation or coagulation in blood. Results were published in total 103 publications including 2 books, 4 chapters in monographs and 9 dissertations. (en)
http://linked.open...tniCyklusProjektu	ZBBBKU
is http://linked.open...vavai/riv/projekt of	Distribution of the discretization and algebraic error in numerical solution of partial differential equations Partial regularity for solutions of quasilinear parabolic systems with non smooth in time principle matrix Partial regularity of solution to generalized Navier-Stokes problem Global existence for a nonlinear model of 1D chemically reacting viscoelastic body Higher Integrability of Solutions to Generalized Stokes System Under Perfect Slip Boundary Conditions Regularity of Solution to Generalized Stokes Problem On boundary regularity for the stress in problems of linearized elasto-plasticity Time-Periodic Solutions to the Full Navier-Stokes-Fourier System Travelling waves in a convection-diffusion equation Adhesive contact delaminating at mixed mode, its thermodynamics and analysis A quasistatic mixed-mode delamination model A model of rupturing lithospheric faults with re-occurring earthquakes BEM solution of delamination problems using an interface damage and plasticity model Boundary regularity of flows under perfect slip boundary conditions THE CORE PROBLEM WITHIN A LINEAR APPROXIMATION PROBLEM AX ~ B WITH MULTIPLE RIGHT-HAND SIDES Compressible fluid flows driven by stochastic forcing Inviscid incompressible limits of the full Navier-Stokes-Fourier system L-q theory for a generalized Stokes System Long Time Behavior and Stabilization to Equilibria of Solutions to the Navier-Stokes-Fourier System Driven by Highly Oscillating Unbounded External Forces MULTI-DIMENSIONAL SCALAR CONSERVATION LAWS WITH FLUXES DISCONTINUOUS IN THE UNKNOWN AND THE SPATIAL VARIABLE Navier-Stokes equations: weak solution, its uniqueness and regularity Phase Transformations in Electrically Conductive Ferromagnetic Shape-Memory Alloys, Their Thermodynamics and Analysis Quasistatic adhesive contact of visco-elastic bodies and its numerical treatment for very small viscosity Quasistatic Delamination of Sandwich-Like Kirchhoff-Love Plates Sensitivity analysis of 1d steady forced scalar conservation laws Shape sensitivity analysis of incompressible non-Newtonian fluids Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains Unsteady flows of fluids with pressure dependent viscosity in unbounded domains Generalizations of the Navier-Stokes fluid from a new perspective On the local strong solutions for the FENE dumbbell model On compressible Korteweg fluid-like materials Stress concentration due to an elliptic hole in a degrading linearized elastic solid On the Modeling of the Synovial Fluid Regularity results for gradient of solutions of linear elliptic systems with VMO coefficients and L1,lambda data Regularity theorems, up to the boundary, for shear thickening flows A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient BEM implementation of energetic solutions for quasistatic delamination problems Further remarks on simple flows of fluids with pressure-dependent viscosities Gene H. Golub and Gérard Meurant: matrices, moments and quadrature with applications FERROMAGNETS WITH EDDY CURRENTS AND PINNING EFFECTS: THEIR THERMODYNAMICS AND ANALYSIS Global-in-time solutions for the isothermal Matovich-Pearson equations Local decay of acoustic waves in the low Mach number limits on general unbounded domains under slip boundary conditions Morrey regularity for weak solutions of Stokes system with VMO coefficients On Optimality Conditions in Control of Elliptic Variational Inequalities On the need for compatibility of thermal and mechanical data in flow problems On a generalized Stokes problem On the shear-thinning and viscoelastic effects of blood flow under various flow rates On Efficient Numerical Approximation of the Bilinear Form c* A(-1)b On Optimality Conditions in Control of Elliptic Variational Inequalities On the long-time behaviour of a rigid body immersed in a viscous fluid On a mathematical model of journal bearing lubrication On a model in radiation hydrodynamics On a non-isothermal model for nematic liquid crystals On the Numerical Simulation of Blood Coagulation in Flowing Blood The Total Least Squares Problem in AX approximate to B: A New Classification with the Relationship to the Classical Works A thermodynamically compatible rate type fluid to describe the response of asphalt A new approach to non-isothermal models for nematic liquid crystals Anti-plane stress state of a plate with a V-notch for a new class of elastic solids Adhesive contact of visco-elastic bodies and defect measures arising by vanishing viscosity Suitable weak solutions: from compressible viscous to incompressible inviscid fluid flows Inviscid incompressible limits of strongly stratified fluids Shape Optimization for Stokes Problem with Threshold Slip Shape optimization for non-Newtonian fluids in time-dependent domains

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