Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Difan Yuan"'
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 172:105-138
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6afa5c7c872e7ca0d52cc6a441a960ce
https://doi.org/10.1016/j.matpur.2023.01.005
https://doi.org/10.1016/j.matpur.2023.01.005
Publikováno v:
Journal of Differential Equations. 340:309-358
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ce94900686174faf61e86bfb921fc14
https://doi.org/10.1016/j.jde.2022.09.004
https://doi.org/10.1016/j.jde.2022.09.004
Autor:
Difan Yuan
Publikováno v:
Communications in Mathematical Sciences. 19:2019-2034
We are concerned with global weak solutions to the isentropic compressible Euler equations with cylindrically symmetric rotating structure, in which the origin is included. Due to the presence of the singularity at the origin, only the case excluding
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b72412098adad6ab8fd37b5a1c5e879
https://doi.org/10.4310/cms.2021.v19.n7.a10
https://doi.org/10.4310/cms.2021.v19.n7.a10
Publikováno v:
Communications on Applied Mathematics and Computation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f20bb9d082b6aa6661ededcce19e39bd
https://doi.org/10.1007/s42967-022-00191-4
https://doi.org/10.1007/s42967-022-00191-4
Publikováno v:
Journal of Differential Equations. 269:6899-6940
The nonlinear stability and local existence of compressible vortex sheets for the two-dimensional isentropic elastic fluid are established in the usual Sobolev spaces. The problem has a characteristic free boundary, and the Kreiss–Lopatinskiĭ cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13df759ce9926e53465e3273a706b567
https://doi.org/10.1016/j.jde.2020.05.003
https://doi.org/10.1016/j.jde.2020.05.003
Publikováno v:
Nonlinearity. 32:4505-4523
We are concerned with spherically symmetric solutions to the Euler equations for the multi-dimensional compressible fluids, which have many applications in diverse real physical situations. The system can be reduced to one dimensional isentropic gas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6793f9abef180a4b9d3d0ab34fe9c515
https://doi.org/10.1088/1361-6544/ab31ce
https://doi.org/10.1088/1361-6544/ab31ce
Publikováno v:
SIAM Journal on Mathematical Analysis
We are concerned with the global existence of entropy solutions for the compressible Euler equations describing the gas flow in a nozzle with general cross-sectional area, for both isentropic and isothermal fluids. New viscosities are delicately desi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b54bd909e2990d8257e856f615031441
https://doi.org/10.1137/19m1249436
https://doi.org/10.1137/19m1249436
Publikováno v:
Nonlinear Analysis: Real World Applications. 57:103205
We study the existence and large-time behavior of globally defined entropy solutions to one dimensional bipolar hydrodynamic model for semiconductors on bounded interval. By taking advantage of vanishing viscosity method and compensated compactness f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99d5a4b5f616ecda9858c8340785cbc0
https://doi.org/10.1016/j.nonrwa.2020.103205
https://doi.org/10.1016/j.nonrwa.2020.103205
Publikováno v:
Communications on Pure & Applied Analysis. 20:2519
We are concerned with the stability of vortex sheet solutions for the two-dimensional nonisentropic compressible flows in elastodynamics. This is a nonlinear free boundary hyperbolic problem with characteristic discontinuities, which has extra diffic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63e6a606cde8490e2b089df30da9189c
https://doi.org/10.3934/cpaa.2021083
https://doi.org/10.3934/cpaa.2021083
We are concerned with the vortex sheet solutions for the inviscid two-phase flow in two dimensions. In particular, the nonlinear stability and existence of compressible vortex sheet solutions under small perturbations are established by using a modif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01b1e90ff83a0acd94591da56338412e
http://arxiv.org/abs/1808.05905
http://arxiv.org/abs/1808.05905
