메뉴 건너뛰기




Volumn 50, Issue 1, 2018, Pages 1120-1162

On the continuous periodic weak solutions of boussinesq equations

Author keywords

Boussinesq equations; Continuous periodic weak solutions; Prescribed kinetic

Indexed keywords

KINETICS; THERMODYNAMICS;

EID: 85043520915     PISSN: 00361410     EISSN: 10957154     Source Type: Journal    
DOI: 10.1137/17M1115526     Document Type: Article
Times cited : (15)

References (29)
  • 1
    • 84921916804 scopus 로고    scopus 로고
    • Onsager’s conjecture almost everywhere in time
    • T. Buckmaster, Onsager’s conjecture almost everywhere in time, Comm. Math. Phys., 333 (2015), pp. 1175–1198.
    • (2015) Comm. Math. Phys. , vol.333 , pp. 1175-1198
    • Buckmaster, T.1
  • 2
    • 84929086375 scopus 로고    scopus 로고
    • Anomalous dissipation for 1/5-Hölder Euler flows
    • T. Buckmaster, C. De Lellis, P. Isett, and L. Székelyhidi, Jr., Anomalous dissipation for 1/5-Hölder Euler flows, Ann. Math., 182 (2015), pp. 127–172.
    • (2015) Ann. Math. , vol.182 , pp. 127-172
    • Buckmaster, T.1    De Lellis, C.2    Isett, P.3    Székelyhidi, L.4
  • 4
  • 6
    • 45149096278 scopus 로고    scopus 로고
    • Energy conservation and Onsager’s conjecture for the Euler equations
    • A. Cheskidov, P. Constantin, S. Friedlander, and R. Shvydkoy, Energy conservation and Onsager’s conjecture for the Euler equations, Nonlinearity, 21 (2008), pp. 1233–1252.
    • (2008) Nonlinearity , vol.21 , pp. 1233-1252
    • Cheskidov, A.1    Constantin, P.2    Friedlander, S.3    Shvydkoy, R.4
  • 7
    • 84879923053 scopus 로고    scopus 로고
    • H-principles for the incompressible Euler equations
    • A. Choffrut, H-principles for the incompressible Euler equations, Arch. Ration. Mech. Anal., 210 (2013), pp. 133–163.
    • (2013) Arch. Ration. Mech. Anal. , vol.210 , pp. 133-163
    • Choffrut, A.1
  • 9
    • 21844522201 scopus 로고
    • Onsager’s conjecture on the energy conservation for solutions of Euler’s equation
    • P. Constantin, E. Weinan, and E. Titi, Onsager’s conjecture on the energy conservation for solutions of Euler’s equation, Comm. Math. Phys, 165 (1994), pp. 207–209.
    • (1994) Comm. Math. Phys , vol.165 , pp. 207-209
    • Constantin, P.1    Weinan, E.2    Titi, E.3
  • 10
    • 84901495774 scopus 로고    scopus 로고
    • Cauchy problem for dissipative Hölder solutions to the incompressible Euler equations
    • S. Daneri, Cauchy problem for dissipative Hölder solutions to the incompressible Euler equations, Comm. Math. Phys., 329 (2014), pp. 745–786.
    • (2014) Comm. Math. Phys. , vol.329 , pp. 745-786
    • Daneri, S.1
  • 11
    • 85011565183 scopus 로고    scopus 로고
    • Non-uniqueness and h-principle for Hölder-continuous weak solutions of the Euler equations
    • S. Daneri and L. Székelyhidi, Jr., Non-uniqueness and h-principle for Hölder-continuous weak solutions of the Euler equations, Arch. Ration. Mech. Anal. (2017), doi:10.1007/s00205-017-1081-8.
    • (2017) Arch. Ration. Mech. Anal.
    • Daneri, S.1    Székelyhidi, L.2
  • 12
    • 71749114913 scopus 로고    scopus 로고
    • The euler equation as a differential inclusion
    • C. De Lellis and L. Székelyhidi, Jr., The Euler equation as a differential inclusion, Ann. Math., 170 (2009), pp. 1417–1436.
    • (2009) Ann. Math. , vol.170 , pp. 1417-1436
    • De Lellis, C.1    Székelyhidi, L.2
  • 13
    • 70350655922 scopus 로고    scopus 로고
    • On admissibility criteria for weak solutions of the Euler equations
    • C. De Lellis and L. Székelyhidi, Jr., On admissibility criteria for weak solutions of the Euler equations, Arch. Ration. Mech. Anal., 195 (2010), pp. 225–260.
    • (2010) Arch. Ration. Mech. Anal. , vol.195 , pp. 225-260
    • De Lellis, C.1    Székelyhidi, L.2
  • 14
    • 84863104319 scopus 로고    scopus 로고
    • The h-principle and the equations of fluid dynamics
    • C. De Lellis and L. Székelyhidi, Jr., The h-principle and the equations of fluid dynamics, Bull. Amer. Math. Soc., 49 (2012), pp. 347–375.
    • (2012) Bull. Amer. Math. Soc. , vol.49 , pp. 347-375
    • De Lellis, C.1    Székelyhidi, L.2
  • 15
    • 84881551330 scopus 로고    scopus 로고
    • Dissipative continuous Euler flows
    • C. De Lellis and L. Székelyhidi, Jr., Dissipative continuous Euler flows, Invent. Math., 193 (2013), pp. 377–407.
    • (2013) Invent. Math. , vol.193 , pp. 377-407
    • De Lellis, C.1    Székelyhidi, L.2
  • 16
    • 84906824670 scopus 로고    scopus 로고
    • Dissipative euler flows and Onsager’s conjecture
    • C. De Lellis and L. Székelyhidi, Jr., Dissipative Euler flows and Onsager’s conjecture, J. Eur. Math. Soc., 16 (2014), pp. 1467–1505.
    • (2014) J. Eur. Math. Soc. , vol.16 , pp. 1467-1505
    • De Lellis, C.1    Székelyhidi, L.2
  • 17
    • 0033630156 scopus 로고    scopus 로고
    • Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
    • J. Duchon and R. Raoul, Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations, Nonlinearity, 13 (2000), pp. 249–255.
    • (2000) Nonlinearity , vol.13 , pp. 249-255
    • Duchon, J.1    Raoul, R.2
  • 18
    • 84958824986 scopus 로고    scopus 로고
    • A heat flow approach to Onsager’s conjecture for the Euler equations on manifolds
    • P. Isett and S.-J. Oh, A heat flow approach to Onsager’s conjecture for the Euler equations on manifolds, Trans. Amer. Math. Soc., 368 (2016), pp. 6519–6537.
    • (2016) Trans. Amer. Math. Soc. , vol.368 , pp. 6519-6537
    • Isett, P.1    Oh, S.-J.2
  • 19
    • 84959133509 scopus 로고    scopus 로고
    • On nonperiodic Euler flows with Hölder regularity
    • P. Isett and S.-J. Oh, On nonperiodic Euler flows with Hölder regularity, Arch. Ration. Mech. Anal., 221 (2016), pp. 725–804.
    • (2016) Arch. Ration. Mech. Anal. , vol.221 , pp. 725-804
    • Isett, P.1    Oh, S.-J.2
  • 22
    • 85016249944 scopus 로고    scopus 로고
    • Hölder continuous solutions of active scalar equations
    • P. Isett and V. Vicol, Hölder continuous solutions of active scalar equations, Ann. PDE (2015) 1:2, pp. 1–77, doi:10.1007/s40818-015-0002-0.
    • (2015) Ann. PDE , vol.1 , Issue.2 , pp. 1-77
    • Isett, P.1    Vicol, V.2
  • 23
    • 0141689565 scopus 로고    scopus 로고
    • Introduction to PDEs and Waves for the Atmosphere and Ocean
    • AMS/CIMS, Providence, RI
    • A. Majda, Introduction to PDEs and Waves for the Atmosphere and Ocean, Courant Lecture Notes in Mathematics 9, AMS/CIMS, Providence, RI, 2003.
    • (2003) Courant Lecture Notes in Mathematics , vol.9
    • Majda, A.1
  • 24
    • 0001636186 scopus 로고
    • 1 isometric embeddings
    • 1 isometric embeddings, Ann. Math., 60 (1954), pp. 383–396.
    • (1954) Ann. Math. , vol.60 , pp. 383-396
    • Nash, J.1
  • 26
    • 0001768220 scopus 로고
    • An inviscid flow with compact support in space-time
    • V. Scheffer, An inviscid flow with compact support in space-time, J. Geom. Anal., (1993), pp. 343–401.
    • (1993) J. Geom. Anal. , pp. 343-401
    • Scheffer, V.1
  • 27
    • 0034349858 scopus 로고    scopus 로고
    • Weak solution with decreasing energy of incompressible Euler equations
    • A. Shnirelman, Weak solution with decreasing energy of incompressible Euler equations, Comm. Math. Phys., 210 (2000), pp. 541–603.
    • (2000) Comm. Math. Phys. , vol.210 , pp. 541-603
    • Shnirelman, A.1
  • 28
    • 0031491102 scopus 로고    scopus 로고
    • On the nonuniqueness of weak solution of Euler equation
    • A. Shnirelman, On the nonuniqueness of weak solution of Euler equation, Comm. Pure Appl. Math., 50 (1997), pp. 1261–1286
    • (1997) Comm. Pure Appl. Math. , vol.50 , pp. 1261-1286
    • Shnirelman, A.1
  • 29
    • 79959881475 scopus 로고    scopus 로고
    • Lectures on the Onsager conjecture
    • R. Shvydkoy, Lectures on the Onsager conjecture, Discrete Contin. Dyn. Syst., 3 (2010), pp. 473–496.
    • (2010) Discrete Contin. Dyn. Syst. , vol.3 , pp. 473-496
    • Shvydkoy, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.