Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Conformal and potential analysis in Hele-Shaw cells. - MaRDI portal

Conformal and potential analysis in Hele-Shaw cells.

From MaRDI portal
Publication:2509198

zbMath1122.76002MaRDI QIDQ2509198

Björn Gustafsson, Alexander Vasil'ev

Publication date: 18 October 2006

Published in: Advances in Mathematical Fluid Mechanics (Search for Journal in Brave)




Related Items

Rayleigh-Taylor instability of immiscible fluids in porous mediaThe fundamental solutions of the curve shortening problem via the Schwarz functionSome remarks on certain invariant geometric properties in Hele-Shaw flowsA fully discrete curve-shortening polygonal evolution law for moving boundary problemsShocks and finite-time singularities in Hele-Shaw flowEvolution of smooth shapes and integrable systemsSimulating the Hele-Shaw flow in the presence of various obstacles and moving particlesOn the breakup of air bubbles in a Hele-Shaw cellRiemann–Hilbert problem on a torus and a vortex patch in a wedgeStokes-Leibenson problem for Hele-Shaw flow: a critical set in the space of contoursMulti-cut solutions of Laplacian growthInvariant geometric properties in Hele-Shaw flowsOn the motion of unsteady translating bubbles in an unbounded Hele-Shaw cellLinear and non-linear analyses of Soret-driven buoyancy convection in a vertically orientated Hele-Shaw cell with nanoparticles suspensionFrom the Kähler-Ricci flow to moving free boundaries and shocksThe immersed interface method for axis-symmetric problems and application to the Hele-Shaw flowReal variable Hele-Shaw problem with kinetic undercoolingOrthogonal polynomials for a class of measures with discrete rotational symmetries in the complex planeFingering instability in wildfire frontsCanonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realizationGeometry behind chordal Loewner chainsA non-Hermitian generalisation of the Marchenko-Pastur distribution: from the circular law to multi-criticalitySingularity theory of plane curves and its applicationsAttractors-repellers in the space of contours in the Stokes-Leibenson problem for Hele-Shaw flowsPoisson growthOn a Hele-Shaw flow problem with free and solid boundary componentsAsymptotic expansions of the hypergeometric function with two large parameters—application to the partition function of a lattice gas in a field of trapsApplications of the duality between the homogeneous complex Monge-Ampère equation and the Hele-Shaw flowSome geometrical properties of free boundaries in the Hele-Shaw flowsHarmonic discs of solutions to the complex homogeneous Monge-Ampère equationA note on the regularity of the holes for permeability property through a perforated domain for the 2D Euler equationsFractional Stefan problem: a survey of the recent resultsStrongly \(\varPhi \)-like functions of order \(\alpha \) in two-dimensional free boundary problemsStability in an overdetermined problem for the Green's functionPenguin huddling: a continuum modelDynamics of several point vortices for the lake equationsMultiple bubble dynamics and velocity selection in Laplacian growth without surface tensionDissolution of a cylindrical disk in Hele-Shaw flow: a conformal-mapping approachInternal DLA and the Gaussian free fieldHele-Shaw flow with a small obstacleOn the uniqueness problem for quadrature domainsSelf-similarity in Laplacian growthSelected topics on quadrature domainsFinite Unions of Intervals, Part IEnergy characteristics of subordination chainsSpreading or contraction of viscous drops between plates: single, multiple or annular dropsThe effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cellA REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONSEditorial. Dedication to Alexander Vasil'ev (1962--2016)Entropy method for generalized Poisson-Nernst-Planck equationsThe string equation for polynomialsSharp pointwise gradient estimates for Riesz potentials with a bounded densityLoewner theory in annulus. II: Loewner chainsMöbius transformations and extended diffusion above the homeomorphisms of the diskA special class of univalent functions in Hele-Shaw flow problemsReconstruction of algebraic sets from dynamic momentsAsymptotic analysis of a contact Hele-Shaw problem in a thin domainPermeability through a perforated domain for the incompressible 2D Euler equationsLöwner evolution and finite-dimensional reductions of integrable systemsA dynamical mother body in a Hele-Shaw problemTopology of quadrature domainsThe vanishing surface tension limit for the Hele-Shaw problemWell-posedness of a diffuse interface model for Hele-Shaw flowsMethod of Riemann surfaces for an inverse antiplane problem in an n-connected domainOn algorithms with good mesh properties for problems with moving boundaries based on the Harmonic Map Heat Flow and the DeTurck trickThe Euler equations in planar domains with cornersInertial effects on viscous fingering in the complex planeGeneralised Hele-Shaw flow: A Schwarz function approachNumerical approximation of one phase quadrature domainsMOVING STONE IN THE HELE‐SHAW FLOWThe Shape Control of a Growing Air Bubble in a Hele--Shaw CellA tumor growth model with autophagy: the reaction-(cross-)diffusion system and its free boundary limitClassical and Stochastic Löwner–Kufarev EquationsExponential Transforms, Resultants and MomentsA simple numerical method for Hele-Shaw type problems by the method of fundamental solutionsComoving mesh method for certain classes of moving boundary problemsIn memoriam Alexander Vasil'ev (1962--2016)




This page was built for publication: Conformal and potential analysis in Hele-Shaw cells.