000150400 001 __ 150400
000150400 005 __ 20241124052630.0
000150400 024 7_ $2 doi $a 10.1063/1.3663455
000150400 024 8_ $9 scholar $9 primocentral $9 driver $a oai:ddd.uab.cat:150400
000150400 035 __ $9 gsduab $a 3490
000150400 035 __ $9 scopus_id $a 83655172694
000150400 035 __ $9 wos_id $a 000299569200010
000150400 035 __ $a oai:egreta.uab.cat:publications/cd654ace-1459-41bb-95cc-8830419ea7e8
000150400 041 0_ $a eng
000150400 100 1_ $0 0000-0002-0908-4680 $a Serna, Susana $u Universitat Autònoma de Barcelona. Departament de Matemàtiques
000150400 245 1_ $a Analysis and numerical approximation of viscosity solutions with shocks : $b application to the plasma equation
000150400 251 __ $1 http://purl.org/coar/version/c_ab4af688f83e57aa $2 openaire4 $9 AM $a Versió acceptada per publicar
000150400 260 __ $c 2011
000150400 520 3_ $a We consider a new class of Hamilton-Jacobi equations arising from the convective part of general Fokker-Planck equations ruled by a non-negative diffusion function that depends on the unknown and on the gradient of the unknown. The new class of Hamilton-Jacobi equations represents the propagation of fronts with speed that is a nonlinear function of the signal. The equations contain a nonstandard Hamiltonian that allows the presence of shocks in the solution and these shocks propagate with nonlinear velocity. We focus on the one-dimensional plasma equation as an example of the general Fokker-Planck equations having the features we are interested in analyzing. We explore features of the solution of the corresponding Hamilton-Jacobi plasma equation and propose a suitable fifth order finite difference numerical scheme that approximates the solution in a consistent way with respect to the solution of the associated Fokker-Planck equation. We present numerical results performed under different initial data with compact support.
000150400 536 __ $a Ministerio de Ciencia e Innovación $d https://doi.org/10.13039/501100004837 $f MTM2008-03597
000150400 540 __ $9 open access $a Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets. $u https://rightsstatements.org/vocab/InC/1.0/
000150400 546 __ $a Anglès
000150400 599 __ $a recerca
000150400 653 1_ $a Fokker-Planck equation
000150400 653 1_ $a Hamilton-Jacobi equations
000150400 653 1_ $a Plasma equation
000150400 653 1_ $a Numerical schemes
000150400 655 _7 $1 http://purl.org/coar/resource_type/c_3248 $2 openaire4 $a Capítol de llibre $c literature
000150400 773 __ $g 2011, p. 41-44 $t Advances in Mathematical and Computational Methods: addressing modern challenges of science, technology, and society
000150400 856 40 $p 4 $s 135192 $u https://ddd.uab.cat/pub/caplli/2011/150400/advmatcommet_a2011asernapreprint.pdf $z Postprint
000150400 973 __ $f 41 $l 44 $x advmatcommet_a2011 $y 2011
000150400 980 __ $a CAPLLI $b UAB $b GSDUAB