Existence and geometry of a free boundary problem for the heat equation

Pacific Journal of Mathematics ◽

10.2140/pjm.1991.148.207 ◽

1991 ◽

Vol 148 (2) ◽

pp. 207-224

Author(s):

Andrew Acker ◽

Kirk Lancaster

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

A Free Boundary Problem

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A free-boundary problem for the heat equation arising in flame propagation

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1995-1260199-7 ◽

1995 ◽

Vol 347 (2) ◽

pp. 411-441 ◽

Author(s):

Luis A. Caffarelli ◽

Juan L. Vázquez

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Flame Propagation ◽

Free Boundary Problem ◽

A Free Boundary Problem

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Maximal $$L^1$$-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-021-00133-w ◽

2021 ◽

Author(s):

Takayoshi Ogawa ◽

Senjo Shimizu

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

A Free Boundary Problem

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A free boundary problem for the heat equation with prescribed flux at both fixed face and melting interface

Quarterly of Applied Mathematics ◽

10.1090/qam/213104 ◽

1967 ◽

Vol 25 (1) ◽

pp. 53-63 ◽

Author(s):

B. Sherman

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

A Free Boundary Problem

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A Free Boundary Problem for the linear heat equation

Journal of Differential Equations ◽

10.1016/0022-0396(70)90112-9 ◽

1970 ◽

Vol 7 (2) ◽

pp. 287-306

Author(s):

James M Greenberg

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

Linear Heat Equation ◽

Linear Heat ◽

A Free Boundary Problem

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A free boundary problem for the heat equation with heat input at a melting interface

Quarterly of Applied Mathematics ◽

10.1090/qam/190554 ◽

1966 ◽

Vol 23 (4) ◽

pp. 337-347 ◽

Author(s):

B. Sherman

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

A Free Boundary Problem

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On the controllability of a free-boundary problem for the 1D heat equation

Systems & Control Letters ◽

10.1016/j.sysconle.2015.10.011 ◽

2016 ◽

Vol 87 ◽

pp. 29-35 ◽

Author(s):

E. Fernández-Cara ◽

J. Limaco ◽

S.B. de Menezes

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

A Free Boundary Problem

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Continuous dependence and differentiability properties of the solution of a free boundary problem for the heat equation

Quarterly of Applied Mathematics ◽

10.1090/qam/509051 ◽

1970 ◽

Vol 27 (4) ◽

pp. 427-439 ◽

Author(s):

B. Sherman

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

Continuous Dependence ◽

A Free Boundary Problem ◽

Differentiability Properties

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Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation

Bulletin of the Brazilian Mathematical Society New Series ◽

10.1007/s00574-016-0001-0 ◽

2016 ◽

Vol 48 (2) ◽

pp. 303-315

Author(s):

Enrique Fernández-Cara ◽

Ivaldo Tributino de Sousa

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

Null Controllability ◽

A Free Boundary Problem

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Uniqueness of solution to a free boundary problem from combustion with transport

MAT Serie A ◽

10.26422/mat.a.2001.5.led ◽

2001 ◽

Vol 5 ◽

pp. 37-41

Author(s):

Claudia Lederman ◽

Juan Luis Vázquez ◽

Noemí Wolanski

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Uniqueness Of Solution ◽

A Free Boundary Problem

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The existence and numerical method for a free boundary problem modeling the ductal carcinoma in situ

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107378 ◽

2021 ◽

pp. 107378

Author(s):

Dan Liu ◽

Keji Liu ◽

Dinghua Xu

Keyword(s):

Free Boundary ◽

Numerical Method ◽

Boundary Problem ◽

Free Boundary Problem ◽

Ductal Carcinoma In Situ ◽

Carcinoma In Situ ◽

Ductal Carcinoma ◽

Problem Modeling ◽

A Free Boundary Problem

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