Cover Image

On one proof of the classical solvability of the Hele-Shaw problem with free boundary

We consider the Stefan problem for a parabolic equation with a small parameter as the coefficient of the derivative with respect to time. We justify the limit transition as the small parameter tends to zero, which enables us to prove the classical solvability of the Hele-Shaw problem with free bound...

Full description

Saved in:

Bibliographic Details
Date:	1998
Main Authors:	Bazalii, B. V., Базалий, Б. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4797
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On the Solvability of the Hele–Shaw Model Problem in Weighted Hölder Spaces in a Plane Angle
by: Bazalii, B. V., et al.
Published: (2000)

О разрешимости модельной задачи Hele - Shaw в весовых пространствах Гельдера в плоском угле
by: Базалий, Б.В., et al.
Published: (2000)

Методы симметризации в задаче Hele-Shaw
by: Васильева, Н.В.
Published: (2000)

On one problem with free boundary for a nonlinear system
by: Bazalii, B. V., et al.
Published: (1996)

Stefan problem for the laplace equation with regard for the curvature of the free boundary
by: Bazalii, B. V., et al.
Published: (1997)

Classical Solvability of the First Initial Boundary-Value Problem for a Nonlinear Strongly Degenerate Parabolic Equation
by: Bazalii, B. V., et al.
Published: (2004)

The Stefan problem with kinetic classical condition on a free boundary
by: Bazaly , B. V., et al.
Published: (1992)

The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension
by: Bazaliy, B.V., et al.
Published: (2014)

О существовании гладких решений в задаче о зечениях Hele-Shaw в негладких областях
by: Васильева, Н.В.
Published: (2009)

О разрешимости задачи Hele-Shaw в случае нерегулярных начальных данных в весовых классах Гельдера
by: Васильева, Н.В.
Published: (2005)

On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain
by: Bazalii, B. V., et al.
Published: (2007)

On the estimates of the rate of stabilization for some problems with free boundary
by: Bazaly, В. V., et al.
Published: (1992)

On One Nonlocal Problem with Free Boundary
by: Berezovsky, A. A., et al.
Published: (2001)

Conferences on nonlinear problems of mathematical physics and problems with free boundaries
by: Bazaly , В. V., et al.
Published: (1992)

Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
by: Bazaliy, B.V., et al.
Published: (2011)

Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations
by: Bazalii, B. V., et al.
Published: (1993)

Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time
by: Bazalii, B. V., et al.
Published: (1995)

One-dimensional problems with free boundaries in ecology
by: Berezovs'kyi, M. A., et al.
Published: (1997)

Classical solvability of a problem with moving boundaries for a hyperbolic system of quasilinear equations
by: Andrusyak, R. V., et al.
Published: (2009)

Local Proof of Algebraic Characterization of Free Actions
by: Baum, P.F., et al.
Published: (2014)

On a classical solvability of a Florin problem
by: Bizhanova, G.I.
Published: (2008)

The classical ruin problem on a finite solvable group
by: Zhdanova, Yu. D., et al.
Published: (1993)

One version of the Linearized theory of nonstationary boundary-value problems with free boundary
by: Lukovsky, I. O., et al.
Published: (1996)

Analyticity of a free boundary in one problem of axisymmetric flow
by: Minenko, A. S., et al.
Published: (1998)

On the variational statement of one boundary-value problem with free interface
by: Timokha, A., et al.
Published: (2023)

The solvability of a boundary-value periodic problem
by: Petrovskii, Ya. B., et al.
Published: (1997)

On the Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002)

On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces
by: Mikhailets, V. A., et al.
Published: (2023)

On solvability of singular periodic boundary-value problems
by: Staněk, S.
Published: (2001)

Problem with nonlocal condition on the free boundary
by: Takhirov, Zh. O., et al.
Published: (2012)

Solvability of the boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter in the equation and boundary conditions
by: Aliev, B. A., et al.
Published: (2010)

Space-time localization in one-dimensional problems with free boundary for nonlinear second-order equations
by: Bittiev, Kh. R., et al.
Published: (1998)

Corporalness as a Code in Dramaturgy of Bernard Shaw and Lesia Ukrainka
by: O. Volosiuk
Published: (2010)

On one method for numerical computation of axisymmetrical flows with a free boundary
by: Danilyuk, I. I., et al.
Published: (1971)

On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces
by: V. A. Mykhailets, et al.
Published: (2023)

Solvability of a boundary-value problem for degenerate equations
by: T. Gadjiev, et al.
Published: (2020)

On the solvability of inhomogeneous boundary-value problems in Sobolev spaces
by: O. M. Atlasiuk, et al.
Published: (2019)

Solvability of a boundary-value problem for degenerate equations
by: Gadjiev, T., et al.
Published: (2020)

Correct Solvability of the Cauchy Problem for One Equation of Integral Form
by: Litovchenko, V. A., et al.
Published: (2004)

Examples of Complete Solvability of 2D Classical Superintegrable Systems
by: Chen, Y., et al.
Published: (2015)