Very weak solutions for the magnetohydrodynamic type equations

Elder Jesús Villamizar-Roa; Henry Lamos-Díaz; Gilberto Arenas-Díaz

Very weak solutions for the magnetohydrodynamic type equations

Elder Jesús Villamizar-Roa, Henry Lamos-Díaz, Gilberto Arenas-Díaz

Research output: Articles / Notes › Scientific Article › peer-review

9 Scopus citations

Abstract

We consider the magnetohydrodynamic type equations with non-smooth Dirichlet boundary conditions for the velocity and the magnetic fields. We prove the existence of a kind of distributional solutions called very weak solutions and the continuous dependence of these solutions regarding the data; as a consequence, the uniqueness of very weak solutions is also obtained.

Original language	English
Pages (from-to)	957-972
Number of pages	16
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	10
Issue number	4
State	Published - Nov 2008
Externally published	Yes

Keywords

Continuous dependence
Magnetohydrodynamic equations
Very weak solutions

Cite this

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title = "Very weak solutions for the magnetohydrodynamic type equations",

abstract = "We consider the magnetohydrodynamic type equations with non-smooth Dirichlet boundary conditions for the velocity and the magnetic fields. We prove the existence of a kind of distributional solutions called very weak solutions and the continuous dependence of these solutions regarding the data; as a consequence, the uniqueness of very weak solutions is also obtained.",

keywords = "Continuous dependence, Magnetohydrodynamic equations, Very weak solutions",

author = "Villamizar-Roa, {Elder Jes{\'u}s} and Henry Lamos-D{\'i}az and Gilberto Arenas-D{\'i}az",

year = "2008",

month = nov,

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pages = "957--972",

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T1 - Very weak solutions for the magnetohydrodynamic type equations

AU - Villamizar-Roa, Elder Jesús

AU - Lamos-Díaz, Henry

AU - Arenas-Díaz, Gilberto

PY - 2008/11

Y1 - 2008/11

N2 - We consider the magnetohydrodynamic type equations with non-smooth Dirichlet boundary conditions for the velocity and the magnetic fields. We prove the existence of a kind of distributional solutions called very weak solutions and the continuous dependence of these solutions regarding the data; as a consequence, the uniqueness of very weak solutions is also obtained.

AB - We consider the magnetohydrodynamic type equations with non-smooth Dirichlet boundary conditions for the velocity and the magnetic fields. We prove the existence of a kind of distributional solutions called very weak solutions and the continuous dependence of these solutions regarding the data; as a consequence, the uniqueness of very weak solutions is also obtained.

KW - Continuous dependence

KW - Magnetohydrodynamic equations

KW - Very weak solutions

UR - http://www.scopus.com/inward/record.url?scp=57849148626&partnerID=8YFLogxK

M3 - Artículo Científico

AN - SCOPUS:57849148626

SN - 1531-3492

VL - 10

SP - 957

EP - 972

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 4

ER -

Very weak solutions for the magnetohydrodynamic type equations

Abstract

Keywords

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