Multiphase free boundary problem for the equations of motion of general fluids

Atusi Tani

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 1, page 201-208
  • ISSN: 0010-2628

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Tani, Atusi. "Multiphase free boundary problem for the equations of motion of general fluids." Commentationes Mathematicae Universitatis Carolinae 026.1 (1985): 201-208. <http://eudml.org/doc/17372>.

@article{Tani1985,
author = {Tani, Atusi},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {general fluids; nonstationary multi-phase free boundary problem; parabolic system; Hölder spaces},
language = {eng},
number = {1},
pages = {201-208},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Multiphase free boundary problem for the equations of motion of general fluids},
url = {http://eudml.org/doc/17372},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Tani, Atusi
TI - Multiphase free boundary problem for the equations of motion of general fluids
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 1
SP - 201
EP - 208
LA - eng
KW - general fluids; nonstationary multi-phase free boundary problem; parabolic system; Hölder spaces
UR - http://eudml.org/doc/17372
ER -

References

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  1. T. Beale, The initial value problem ror the Navier-Stokes equations with a free surface, Comm. Pure Appl. Math., 34 (1981), 359-392. (1981) MR0611750
  2. T. Beale, Long-time regularity of viscous surface waves, Arch. Rat Mech. Anal., 84 (1984), 307-352. (1984) 
  3. P. Secchi A. Valli, A free boundary problem for compressible viscous fluids, J. reine angew. Math., 341 (1983), 1-31. (1983) MR0697305
  4. B. A. Coлoнникoв, O кpaeвыx зaдaчax для линeйныx пapaбoличecкиx cиcтeм диффepeнциaльныx ypaвнeний oбщeбo видa, Tpyды Maт. йнcт. Cтeклoвa, 83 (1965), 3-162. (1965) 
  5. B. A. Coлoнникoв, Paзpeшимocть зaдaчи o движeнии вязкoй нecжимaeмoй жидкocти, oгpaничeннoй cвoбoднoй rtoвepxнocтью, Изв. AH, cep. Maт., 41 (1977), 1388-1424. (1977) MR0495629
  6. A. Tani, On the first initial-boundary value problem of compгessible viscous fluid motion, Publ. RIMS, Kyoto Univ., 13 (1977), 193-253. (1977) 
  7. A. Tani, On the free boundary value problem for compressible viscous fluid motion, J. Math. Kyoto Univ., 21 (1981), 839-859. (1981) Zbl0499.76061MR0637520
  8. A. Tani, Two-phase free boundary value problem for compressible viscous fluid motion, to appear in J. Math. Kyoto Univ. MR0637520
  9. A. Tani, Free boundary pгoblems for the equations of motion of general fluids, to appear in Lecture Note in Num. Appl. Anal. 

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