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- W2078820978 abstract "The delta shock wave for a simplified chromatography system is obtained in the Riemann solution when <svg style=vertical-align:-3.30472pt;width:114.625px; id=M1 height=15.0375 version=1.1 viewBox=0 0 114.625 15.0375 width=114.625 xmlns:xlink=http://www.w3.org/1999/xlink xmlns=http://www.w3.org/2000/svg> <g transform=matrix(.017,-0,0,-.017,.062,10.862)><path id=x2212 d=M535 230h-483v50h483v-50z /></g><g transform=matrix(.017,-0,0,-.017,10.041,10.862)><path id=x31 d=M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z /></g><g transform=matrix(.017,-0,0,-.017,22.909,10.862)><path id=x3C d=M512 -3l-437 233v51l437 233v-58l-378 -200v-2l378 -199v-58z /></g><g transform=matrix(.017,-0,0,-.017,37.613,10.862)><path id=x1D463 d=M457 332q0 -81 -41 -161.5t-105.5 -131.5t-129.5 -51q-46 0 -79 30.5t-33 86.5q0 18 7 51q18 95 46 187q6 19 6 33q0 7 -7 7q-24 0 -78 -64l-20 23q32 48 73 77t78 29q33 0 33 -46q0 -38 -10 -70q-28 -92 -39 -152q-7 -38 -7 -57q0 -78 69 -78q68 0 118 75.5t50 194.5
q0 43 -12 57q-11 12 -11 24q0 19 15 35.5t34 16.5q18 0 30.5 -34.5t12.5 -81.5z /></g> <g transform=matrix(.012,-0,0,-.012,44.988,14.938)><use xlink:href=#x2212/></g> <g transform=matrix(.017,-0,0,-.017,57.312,10.862)><use xlink:href=#x3C/></g><g transform=matrix(.017,-0,0,-.017,71.999,10.862)><path id=x30 d=M241 635q53 0 94 -28.5t63.5 -76t33.5 -102.5t11 -116q0 -58 -11 -112.5t-34 -103.5t-63.5 -78.5t-94.5 -29.5t-95 28t-64.5 75t-34.5 102.5t-11 118.5q0 58 11.5 112.5t34.5 103t64.5 78t95.5 29.5zM238 602q-32 0 -55.5 -25t-35.5 -68t-17.5 -91t-5.5 -105
q0 -76 10 -138.5t37 -107.5t69 -45q32 0 55.5 25t35.5 68.5t17.5 91.5t5.5 105t-5.5 105.5t-18 92t-36 68t-56.5 24.5z /></g><g transform=matrix(.017,-0,0,-.017,84.884,10.862)><use xlink:href=#x3C/></g><g transform=matrix(.017,-0,0,-.017,99.588,10.862)><use xlink:href=#x1D463/></g> <g transform=matrix(.012,-0,0,-.012,106.95,14.938)><path id=x2B d=M535 230h-212v-233h-58v233h-213v50h213v210h58v-210h212v-50z /></g> </svg>. In fact, the result in this paper is the reasonable generalization of the result in Sun (2011) with <svg style=vertical-align:-3.30472pt;width:77.0625px; id=M2 height=15.0375 version=1.1 viewBox=0 0 77.0625 15.0375 width=77.0625 xmlns:xlink=http://www.w3.org/1999/xlink xmlns=http://www.w3.org/2000/svg> <g transform=matrix(.017,-0,0,-.017,.062,10.862)><use xlink:href=#x1D463/></g> <g transform=matrix(.012,-0,0,-.012,7.425,14.938)><use xlink:href=#x2212/></g> <g transform=matrix(.017,-0,0,-.017,19.75,10.862)><path id=x3D d=M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z /></g><g transform=matrix(.017,-0,0,-.017,34.437,10.862)><use xlink:href=#x30/></g><g transform=matrix(.017,-0,0,-.017,47.322,10.862)><use xlink:href=#x3C/></g><g transform=matrix(.017,-0,0,-.017,62.026,10.862)><use xlink:href=#x1D463/></g> <g transform=matrix(.012,-0,0,-.012,69.4,14.938)><use xlink:href=#x2B/></g> </svg> which is exactly the critical situation for <svg style=vertical-align:-3.30472pt;width:114.625px; id=M3 height=15.0375 version=1.1 viewBox=0 0 114.625 15.0375 width=114.625 xmlns:xlink=http://www.w3.org/1999/xlink xmlns=http://www.w3.org/2000/svg> <g transform=matrix(.017,-0,0,-.017,.062,10.862)><use xlink:href=#x2212/></g><g transform=matrix(.017,-0,0,-.017,10.041,10.862)><use xlink:href=#x31/></g><g transform=matrix(.017,-0,0,-.017,22.909,10.862)><use xlink:href=#x3C/></g><g transform=matrix(.017,-0,0,-.017,37.613,10.862)><use xlink:href=#x1D463/></g> <g transform=matrix(.012,-0,0,-.012,44.988,14.938)><use xlink:href=#x2212/></g> <g transform=matrix(.017,-0,0,-.017,57.312,10.862)><use xlink:href=#x3C/></g><g transform=matrix(.017,-0,0,-.017,71.999,10.862)><use xlink:href=#x30/></g><g transform=matrix(.017,-0,0,-.017,84.884,10.862)><use xlink:href=#x3C/></g><g transform=matrix(.017,-0,0,-.017,99.588,10.862)><use xlink:href=#x1D463/></g> <g transform=matrix(.012,-0,0,-.012,106.95,14.938)><use xlink:href=#x2B/></g> </svg>. The self-similar viscosity vanishing approach is also used to check the delta shock wave solution." @default.
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- W2078820978 title "Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System" @default.
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