Category:Quasilinear equations: Difference between revisions
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A quasilinear equation is one that is linear in all but the terms involving the highest order derivatives (whether they are of fractional order or not). For instance, the following equations are quasilinear | A quasilinear equation is one that is linear in all but the terms involving the highest order derivatives (whether they are of fractional order or not). For instance, the following equations are quasilinear | ||
\[ \mbox{div} \left ( \frac{\nabla u}{\sqrt{1+|\nabla u|^2}}\right ) = 0 \] | \[ \mbox{div} \left ( \frac{\nabla u}{\sqrt{1+|\nabla u|^2}}\right ) = 0, u_t = \mbox{div} \left ( u^p \nabla u\right ), (-\Delta)^{s}+H(x,u,\nabla u)=0 (s>1/2) \] | ||
Revision as of 16:08, 3 June 2011
A quasilinear equation is one that is linear in all but the terms involving the highest order derivatives (whether they are of fractional order or not). For instance, the following equations are quasilinear
\[ \mbox{div} \left ( \frac{\nabla u}{\sqrt{1+|\nabla u|^2}}\right ) = 0, u_t = \mbox{div} \left ( u^p \nabla u\right ), (-\Delta)^{s}+H(x,u,\nabla u)=0 (s>1/2) \]
Pages in category "Quasilinear equations"
The following 2 pages are in this category, out of 2 total.