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Linear Force-free (or Beltrami) fields are three-components divergence-free fields solutions of the equation curlB = αB, where α is a real number. Such fields appear in many branches of physics like astrophysics, fluid mechanics, electromagnetics and plasma physics. In this paper, we deal with some related boundary value problems in multiply-connected bounded domains, in half-cylindrical domains and in exterior domains.

On the solvability of the equation div $u = f$ in $L^{1}$ and in $C^{0}$

Bernard Dacorogna, Nicola Fusco, Luc Tartar (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We show that the equation div $u = f$ has, in general, no Lipschitz (respectively $W^{1, 1}$ ) solution if $f$ is $C^{0}$ (respectively $L^{1}$ ).

Displaying 1 – 6 of 6

On analyticity in homogeneous first order partial differential equations

On Boolean partial differential equations

On the absence of Poincaré lemma in tangential Cauchy-Riemann complexes

On the existence of global holomorphic solutions of differential equations with complex parameters

On the linear force-free fields in bounded and unbounded three-dimensional domains

On the solvability of the equation div u = f in L 1 and in C 0

Currently displaying 1 – 6 of 6

On the solvability of the equation div $u = f$ in $L^{1}$ and in $C^{0}$