On the global regularity of sub-critical Euler-Poisson equations with pressure Export

@misc{citeulike:840759, abstract = {We prove that the one-dimensional Euler-Poisson system driven by the Poisson forcing together with the usual \γ-law pressure, \γ \≥ 1, admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time breakdown in the 2x2 p-system. Global regularity is shown to depend on whether or not the initial configuration of the Riemann invariants and density crosses an intrinsic critical threshold.}, archivePrefix = {arXiv}, author = {Tadmor, Eitan and Wei, Dongming}, citeulike-article-id = {840759}, citeulike-linkout-0 = {http://arxiv.org/abs/math.AP/0609250}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.AP/0609250}, day = {9}, eprint = {math.AP/0609250}, keywords = {euler-poisson}, month = {Sep}, posted-at = {2006-09-12 09:32:07}, priority = {2}, title = {On the global regularity of sub-critical Euler-Poisson equations with pressure}, url = {http://arxiv.org/abs/math.AP/0609250}, year = {2006} }

TY - ELEC ID - citeulike:840759 L3 - citeulike-article-id:840759 N2 - We prove that the one-dimensional Euler-Poisson system driven by the Poisson forcing together with the usual γ-law pressure, γ ≥ 1, admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time breakdown in the 2x2 p-system. Global regularity is shown to depend on whether or not the initial configuration of the Riemann invariants and density crosses an intrinsic critical threshold. TI - On the global regularity of sub-critical Euler-Poisson equations with pressure KW - euler-poisson AU - Tadmor, Eitan AU - Wei, Dongming PY - 2006/Sep/09/ UR - http://arxiv.org/abs/math.AP/0609250 ER -