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Acta Mathematicae Applicatae Sinica English Series Vol Acta Mathematicae Applicatae Sinica English Series Vol

Acta Mathematicae Applicatae Sinica English Series Vol - PDF document

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Acta Mathematicae Applicatae Sinica English Series Vol - PPT Presentation

18 No1 2002 1536 OntheNavierStokesEquationsforExothermically ReactingCompressibleFluids GuiQiangChen DavidHo KonstantinaTrivisa Department of Mathematics Northwestern University Evanston I 602082730 USA Email gqchenmathnorthwesternedu DepartmentofMat ID: 85995

No1 2002 1536 OntheNavierStokesEquationsforExothermically

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"  @  "  :;     9         (**)               @  (:4)9         "  "       #  @      "         A /"          A 4"         "  "       !         !   8        4          !                  !          5A 6"                      "  "          45                                              :6        *+ ' A  "                   !    @        (**)   ? "      .)% G.-Q.Chen,etal.)% )% (*)"   *)8            9  (**)7(*6)   ' *,((@!  = )                                          *,(,!  "                       #   $        "%                         &          '  (#                                            #   $  )                    !            # ()    "  2         "  = B    (**)(        ))    )"                2    :  2  ).%                     /*   ' *,*(3   ,   3)*        +              !  "!  ,     &            +    "(      )%:(&)! () )(($  Navier-StokesEquationsforReactingCompressibleFluids(&)!-              *,*,!  ""     +               .     &          /              +      0              !  " 1(2' *,-(# 0  )*        !  "!            2')%1   !               )%&' *,.,)%&           !3           !  "" +          .     $      *,-,!  "(            &      "4 )            +            E            /*"          %&0          "  "           ))-               A    "              ' *,/(= 9 3) G.-Q.Chen,etal.5              !            !  "  6 '         ,                      6                  '          !         'F(?    (**)"      :** 9  "  :*/    "         -         !  "  "   :**                           (:**(&#x"-42;�.50;4C)7(4)"     )A"                                        "  !              8"                   (/**)B "   &-# % 2   2 3  A           "  "       !  (**)7(*6)       !             %* " 23 2.1 ,!  ( ())    .  ' %()2 ' 1  Navier-StokesEquationsforReactingCompressibleFluids"     2+k1 2 2 23 2.1 "    221 2 ?          ()(&)(4*)7(45)   1         &*"  9"    (4*)7(4C)   ()"                 !      "  -     !    &            B    "&      # )  (4*)7(4C),  "       "     4-,(,    %*$-! (&)' 2 2 $1 -! 22$0 1 (0( ( )  ((*(*)-'* / 2 -(()2 -'  ()2   +1 2 1 2-4(* Proof.         (45)                   (4*)7(45)"   "  G.-Q.Chen,etal.      :5  "     )(4/)7(44)"           (&)% -! -!                             ! "        )"    )" "  # 4*4-,*,!          231 22(+1 21 2)('4+1 -! -! Proof.                         :5    :*C=  :*C                         :5                                  )                # 4*  "               (:5)         (44)   # 4*                   # 4*  # 4/             (# 44) -,(,* % %"           0    , %%(    6 !       "         2    H " !       2    ) 2 1 2: +1 2 1 2 Navier-StokesEquationsforReactingCompressibleFluids     2    )      "   2+k1 2   4-,-,)%!$(4*&)!            Proof.@  (45)      A        :& (4*&)?  " (45)"  !5 "   +1 2 1  "    "       +1 2 1 !5-  +1 2 1 -!5E (4*/)# 4*"    G.-Q.Chen,etal. "  !5-E # 4* "   4-,.,!             .        ):()' ! /  )%!  ()  : )*  ( 5        (*'-! -! (*'Proof.? !2    %(  1        (4/)   ': *  " )%!   A     (4*4)    "       ": 2  2% i1  B    "   Navier-StokesEquationsforReactingCompressibleFluids           (4/)    H     (*/)"    -! -!     +1 2 1 1     +1 2 1 -! -!  "-! -! -! E :G -! -!           :5 -,*,7  &      %: 2 1 2    8  /9 :  ,                1(2   !    G.-Q.Chen,etal.  )% (=       " !   )% (&"                            (**)7(*6)  54-,/,-! (*'-! (*'-! (*' -! (*'-! (*'Proof.             :5"**"*/  # 4*745                            (45)"# 4*"     )   4-,6,!            &Proof.# 44   E # 46"    -   (4/*). # 7   .,(     83  ' *,(       (,?       ()   @!              :**"*/:5  # 4*74;0 "        //" Navier-StokesEquationsforReactingCompressibleFluids  " ()  3 !  ()    /"       !   )       # 4*74;"    "     !       "       "             /*          )             "  ()          "               :**"*/                           *,          (  (*6)# ()  !   (1  (*6)   ()   "  !       2 8     &     (5*)      BI     "   (  )      -,        ,    )   "  &"  .%   21    1'2 /(2)1(1)1 )(54) (8281 1'2 ).% 1'2 /(2)1(1)1   !  &   G.-Q.Chen,etal.? (55)")%! 5             &" 9    "    %    (5*)        B" " !    ( &     ? "   !!'*)!! ")?  "  (5/)  (  )&  !!  !!       !! ,   (56)"    9   *) .,!        ,     )       Navier-StokesEquationsforReactingCompressibleFluids  )%! 5 &) #  +        && , "  (5/)  (  )&  !! B"(5;)    ).,*4  ' 7   83  ' *,*5*,/       /4             (**)     (/4)   /*  ProofofTheorem2.3. !F(!! "& )%&"&   " ?)"     "!  "   "    &" !  &                "      % %  G.-Q.Chen,etal.  "   #   !"F(!!!!!!    "&"    8   " 10 '10  '10*               + "  & &    A       "    ProofofTheorem2.4.      (�/)&"       9" (5*4)    "      (**) 8   " %&%&" " Navier-StokesEquationsforReactingCompressibleFluids/2+   +         .  *    !                             "  "       "           H "      "     .   ( %*)"  ( %&)"                   ,    $   "&*   ()     %*$/  ()     %&?   "  "  "   3     ! "  "     :*&                "3 1 "       H "  ' /,(,;            ))         6  =  &  , &#x -;.40; :)          ,        )  ! B "     "   )      !"                                4 5    !        (6*)(6/)        A  "                   (**)   (6*)(6/)                     :6    (6*)(6/) G.-Q.Chen,etal.' /,*(@!  = )                 " %                       6/    !      (6*)7(6/)(*4)7(*6)       ' /,-,5        +              !  "!  ,     &            +   "(    A    JK 2  (/5)?! "      )"   ): ):()')%! () )(()*          2    6/   B "  "         " :  &" (66)" :' /,.(# 0  )*         !  "    !         10()(((*100()        2'() Navier-StokesEquationsforReactingCompressibleFluids !          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