# Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.

Boldrini, José Luiz; Dias Vaz, Cristina Lúcia

Electronic Journal of Differential Equations (EJDE) [electronic only] (2003)

- Volume: 2003, page Paper No. 109, 25 p., electronic only-Paper No. 109, 25 p., electronic only
- ISSN: 1072-6691

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topBoldrini, José Luiz, and Dias Vaz, Cristina Lúcia. "Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.." Electronic Journal of Differential Equations (EJDE) [electronic only] 2003 (2003): Paper No. 109, 25 p., electronic only-Paper No. 109, 25 p., electronic only. <http://eudml.org/doc/123419>.

@article{Boldrini2003,

author = {Boldrini, José Luiz, Dias Vaz, Cristina Lúcia},

journal = {Electronic Journal of Differential Equations (EJDE) [electronic only]},

keywords = {weak solutions; phase transition; natural convection; non-stationary solidification; nonlinear heat equation; modified Navier-Stokes equations; buoyancy; Boussinesq approximation; Carman-Koseny term; mushy regions; free boundary problem},

language = {eng},

pages = {Paper No. 109, 25 p., electronic only-Paper No. 109, 25 p., electronic only},

publisher = {Southwest Texas State University, Department of Mathematics, San Marcos, TX; North Texas State University, Department of Mathematics, Denton},

title = {Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.},

url = {http://eudml.org/doc/123419},

volume = {2003},

year = {2003},

}

TY - JOUR

AU - Boldrini, José Luiz

AU - Dias Vaz, Cristina Lúcia

TI - Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.

JO - Electronic Journal of Differential Equations (EJDE) [electronic only]

PY - 2003

PB - Southwest Texas State University, Department of Mathematics, San Marcos, TX; North Texas State University, Department of Mathematics, Denton

VL - 2003

SP - Paper No. 109, 25 p., electronic only

EP - Paper No. 109, 25 p., electronic only

LA - eng

KW - weak solutions; phase transition; natural convection; non-stationary solidification; nonlinear heat equation; modified Navier-Stokes equations; buoyancy; Boussinesq approximation; Carman-Koseny term; mushy regions; free boundary problem

UR - http://eudml.org/doc/123419

ER -

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