New novel derivatives of N-((5-((6-oxido-6-(4 substituted phenoxy)-4,8-dihydro-1H-[1,3,2] dioxaphosphepino [5,6-c]pyrazol-1-yl) methyl)-1,3,4-thiadiazol-2-yl)carbamoyl) substituted benzene sulfo namides (7a-o as depicted in scheme) were Synthesized by condensation reaction of 4substituted Phenyl phosphorodichloridates (6a-c) and N-((5-((4,5-bis(hydroxymethyl)-1H-pyrazol-1-yi)methyl)1,3,4-thiadi...

We consider a 2D smectics model \begin{equation*} E_{\epsilon }\left( u\right) =\frac{1}{2}\int_\Omega \frac{1}{\varepsilon u_{z}-\frac{1% }{2}u_{x}^{2}\right) ^{2}+\varepsilon \left( u_{xx}\right) ^{2}dx\,dz. \end{equation*} For $\varepsilon _{n}\rightarrow 0$ and sequence $\left\{ u_{n}\right\} $ with bounded energies $E_{\varepsilon _{n}}\left(u_{n}\right) ,$ we prove compactness of $\{\part...