01.01.2015 Views

Международная конференция студентов, аспирантов и молодых ...

Международная конференция студентов, аспирантов и молодых ...

Международная конференция студентов, аспирантов и молодых ...

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Ih^k_dpbyfZl_fZlbdb 107<br />

4. Thual O., Frich U., Henon M. Application of pole decomposition to an equation governing<br />

the dynamics of wrinkled flame fronts // J. Physique 46 (1985) 1485-1494.<br />

M>D14<br />

>B:=GHKLBD:HKH;GGHKLCJRGBY<br />

IJBJ:KQL:OKOFHCCROS<br />

** :evrbgZ: 1 DZebldbgGG 1 DhjydbgI< 2<br />

1 BgklblmlfZl_fZlbq_kdh]hfh^_ebjh\ZgbyJ:G 2 Fhkdh\kdbc]hkm^Zjkl\_gguc<br />

bgklblmlwe_dljhgghcl_ogbdbL_ogbq_kdbcmgb\_jkbl_l<br />

JZkkfhljbfaZ^ZqmDhrb^eyh[udgh\_ggh]h^bnn_j_gpbZevgh]hmjZ\g_gby<br />

11 + β<br />

u′ t =βu ; t ≥ 0; u 0 = u . (1)<br />

Lhqgh_j_r_gb_bf__l\b^<br />

() ( )<br />

0<br />

= ( − )<br />

−β<br />

= . (2)<br />

ut ( ) t t ; t 1 u<br />

* * 0<br />

>ey β> 0 lhqgh_j_r_gb_l_jibljZaju\\lhjh]hjh^Zijb t *<br />

bg_kms_kl\m<br />

_lijb t > t*<br />

.<br />

kebj_rZlvmjZ\g_gb_qbke_gghihy\ghcko_f_Jmg]_-DmllZlhqghklb Oτ ()<br />

ERK lh qbke_ggh_ j_r_gb_ [m^_l \k_]^Z iheh`bl_evguf b fhghlhggh \hajZklZx<br />

sbf<br />

2<br />

u = u( 0 ); u = u+τ u , n= 0,1,...; tn<br />

= nτ (3)<br />

0<br />

ˆ<br />

Ijbwlhfgbqlhg_]h\hjblh[hkh[_gghklbj_r_gby\lhqd_ t *<br />

bkoh^yba\b^Z<br />

fh`ghk^_eZlv\u\h^qlhj_r_gb_kms_kl\m_lijbex[uo t n<br />

GZijZdlbd_ijbf_<br />

g_gb_ko_fuijb t →∞ijb\h^bldi_j_iheg_gbxkq_lZZijbqbgZi_j_iheg_gby<br />

hklZzlky g_ba\_klghc :gZeh]bqgh_ dZq_kl\_ggh_ ih\_^_gb_ qbke_ggh]h j_r_gby ^ey<br />

aZ^Zqkkbg]meyjghklvxoZjZdl_jgh^eyko_fERKb[he__\ukhdh]hihjy^dZlhqghklb<br />

@dhlhjuc<br />

iha\hey_l ^bZ]ghklbjh\Zlv g_ lhevdh iheh`_gb_ gh b lbi hkh[_gghklb j_r_gby <<br />

kemqZ_kl_i_gghchkh[_gghklb\b^Zfh`ghmklZgh\blvihjy^hdihexkZ β Ihkljh_<br />

gZlZd`_^bZ]ghklbdZjZaju\h\\ukhdboijhba\h^guolhqgh]hj_r_gby:\lhjZfbih<br />

dZaZghqlhijbf_g_gb_ko_fuCROSbagZqZevghij_^eh`_gghc^ey`_kldboaZ^Zqg_<br />

ijb\h^bldi_j_iheg_gbxjZkq_lh\biehohh[mkeh\e_gguoaZ^Zq<br />

H^ghiZjZf_ljbq_kdh_ k_f_ckl\h h^ghklZ^bcguo ko_f Jha_g[jhdZ ^ey mjZ\g_<br />

gby<br />

u′ t = F u,<br />

t<br />

() ( )<br />

hibku\Z_lkyke_^mxsbfnhjfmeZfb<br />

u = u 0 ; u = u+τRe k; E−ατ∂F ∂ u k = F u, t+ 0.5τ . (4)<br />

( ) ( ) ( )<br />

0<br />

ˆ<br />

** >hdeZ^hlf_q_g`xjbdZdh^bgbaemqrbogZih^k_dpbb

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!