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Volumn 127, Issue 2, 2007, Pages 327-338

Blow-up of the hyperbolic burgers equation

Author keywords

Blow up; Fluid dynamics; Hyperbolicity; Memory effects

Indexed keywords


EID: 34247330899     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9276-7     Document Type: Article
Times cited : (7)

References (14)
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  • 2
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    • L. Saint-Raymond, Convergence of solutions to the Boltzmann equation in the incompressible Euler limit. Arch. Rat. Mech. Anal. 166:47-80 (2003).
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    • Saint-Raymond, L.1
  • 5
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    • Continuum description of rarefied gas dynamics. II. The propagation of ultrasound
    • X. Chen, H. Rao and E. A. Spiegel, Continuum description of rarefied gas dynamics. II. The propagation of ultrasound. Phys. Rev. E 64:046309 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 046309
    • Chen, X.1    Rao, H.2    Spiegel, E.A.3
  • 6
    • 84926951060 scopus 로고
    • The distribution of velocities in a slightly non-uniform gas
    • D. Burnett, The distribution of velocities in a slightly non-uniform gas. Proc. London Math. Soc. 39:385-430 (1935).
    • (1935) Proc. London Math. Soc , vol.39 , pp. 385-430
    • Burnett, D.1
  • 7
    • 0001351025 scopus 로고
    • Asymptotic theory of the Boltzmann equation
    • H. Grad, Asymptotic theory of the Boltzmann equation. Phys. Fluids 6:147-181 (1963).
    • (1963) Phys. Fluids , vol.6 , pp. 147-181
    • Grad, H.1
  • 8
    • 4243577605 scopus 로고
    • Random walker and the telegrapher's equation: A paradigm of a generalized hydrodynamics
    • P. Rosenau, Random walker and the telegrapher's equation: A paradigm of a generalized hydrodynamics. Phys. Rev. E 48:R655-R657 (1993).
    • (1993) Phys. Rev. E , vol.48
    • Rosenau, P.1
  • 9
    • 0019017778 scopus 로고
    • The paradox of the infinite velocity of travel of perturbations in hydrodynamics of viscous, heat-conducting media, and equations of hydrodynamics of fast processes
    • A. D. Khonkin, The paradox of the infinite velocity of travel of perturbations in hydrodynamics of viscous, heat-conducting media, and equations of hydrodynamics of fast processes. Fluid Mech. Sov. Res. 9:93-101 (1980).
    • (1980) Fluid Mech. Sov. Res , vol.9 , pp. 93-101
    • Khonkin, A.D.1
  • 11
    • 0002090380 scopus 로고
    • On the hyperbolic modification of the Burgers equation
    • V Ja. Rudjak and Š. Smagulov, On the hyperbolic modification of the Burgers equation. Doklady Akademii Nauk SSSR 255:801-804 (1980).
    • (1980) Doklady Akademii Nauk SSSR , vol.255 , pp. 801-804
    • Rudjak, V.J.1    Smagulov, S.2
  • 12
    • 0001628249 scopus 로고
    • Formation of singularities in three-dimensional compressible fluids
    • T. C. Sideris, Formation of singularities in three-dimensional compressible fluids. Commun. Math. Phys. 101:475-485 (1985).
    • (1985) Commun. Math. Phys , vol.101 , pp. 475-485
    • Sideris, T.C.1
  • 13
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    • Critical exponent for a nonlinear wave equation with damping
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    • Todorova, G.1    Yordanov, B.2
  • 14
    • 0000461055 scopus 로고
    • Remarks on blow-up and nonexistence theorems for nonlinear evolution equations
    • J. M. Ball, Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. Quart. J. Math. Oxford 28:473-486 (1977).
    • (1977) Quart. J. Math. Oxford , vol.28 , pp. 473-486
    • Ball, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.