메뉴 건너뛰기




Volumn 54, Issue 4, 1996, Pages 697-707

Global existence and singularity formation in solutions of a modified Fourier law

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 0030414229     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1417233     Document Type: Article
Times cited : (1)

References (13)
  • 1
    • 0010266937 scopus 로고
    • Heat waves in continuous media at low temperatures
    • Universaita della Basilicata, Potenza
    • V. A. Cimmelli and W. Kosinski, Heat waves in continuous media at low temperatures, Quaderni del Dipartimento di Matematica, vol. 6, Universaita della Basilicata, Potenza, 1992
    • (1992) Quaderni del Dipartimento di Matematica , vol.6
    • Cimmelli, V.A.1    Kosinski, W.2
  • 2
    • 0343859380 scopus 로고
    • Well posedness for a nonlinear hyperbolic heat equation
    • V. A. Cimmelli and W. Kosinski, Well posedness for a nonlinear hyperbolic heat equation, Ricerche di Matematica 42, 49-68 (1993)
    • (1993) Ricerche di Matematica , vol.42 , pp. 49-68
    • Cimmelli, V.A.1    Kosinski, W.2
  • 3
    • 0020155015 scopus 로고
    • Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations
    • H. Hattori, Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations, Quart. Appl. Math. 40, 113-127 (1982)
    • (1982) Quart. Appl. Math. , vol.40 , pp. 113-127
    • Hattori, H.1
  • 5
    • 0013088415 scopus 로고
    • Gradient catastrophe in the solution of nonconservative hyperbolic systems
    • W. Kosinski, Gradient catastrophe in the solution of nonconservative hyperbolic systems, J. Math. Anal. Appl. 61, 672-688 (1977)
    • (1977) J. Math. Anal. Appl. , vol.61 , pp. 672-688
    • Kosinski, W.1
  • 6
    • 0001890359 scopus 로고
    • The effect on finite time breakdown due to modified Fourier laws
    • W. Kosinski and K. Saxton, The effect on finite time breakdown due to modified Fourier laws, Quart Appl. Math. 51, 55-68 (1993)
    • (1993) Quart Appl. Math. , vol.51 , pp. 55-68
    • Kosinski, W.1    Saxton, K.2
  • 7
    • 33750483511 scopus 로고
    • Development of singularities of solutions of nonlinear hyperbolic partial differential equations
    • P. D. Lax, Development of singularities of solutions of nonlinear hyperbolic partial differential equations, J. Math. Phys. 5, 611-613 (1964)
    • (1964) J. Math. Phys. , vol.5 , pp. 611-613
    • Lax, P.D.1
  • 8
    • 0007090108 scopus 로고
    • Existence and non-existence of global smooth solutions for quasilinear hyperbolic systems
    • L. Longwei and Z. Yongshu, Existence and non-existence of global smooth solutions for quasilinear hyperbolic systems, Chinese Ann. of Math. 9B, 372-377 (1988)
    • (1988) Chinese Ann. of Math. , vol.9 B , pp. 372-377
    • Longwei, L.1    Yongshu, Z.2
  • 9
    • 0017480859 scopus 로고
    • An integro-differential equation with application in heat flow
    • R. C. MacCamy, An integro-differential equation with application in heat flow, Quart. Appl. Math. 35, 1-19 (1977)
    • (1977) Quart. Appl. Math. , vol.35 , pp. 1-19
    • MacCamy, R.C.1
  • 10
    • 5244347730 scopus 로고
    • Formation of singularities for a conservation law with memory
    • R. Malek-Madani and J. A. Nohel, Formation of singularities for a conservation law with memory, Siam J. Math. 16, 530-540 (1985)
    • (1985) Siam J. Math. , vol.16 , pp. 530-540
    • Malek-Madani, R.1    Nohel, J.A.2
  • 11
    • 0000631041 scopus 로고
    • Global existence and asymptotic solutions of the second order quasi-linear hyperbolic equations with first order dissipation
    • A. Matsumara, Global existence and asymptotic solutions of the second order quasi-linear hyperbolic equations with first order dissipation, Publ. Res. Inst. Math. Sci. Kyoto Univ. A 13, 349-379 (1977)
    • (1977) Publ. Res. Inst. Math. Sci. Kyoto Univ. A , vol.13 , pp. 349-379
    • Matsumara, A.1
  • 12
  • 13
    • 0018110152 scopus 로고
    • Instability of steady shearing flow in a nonlinear viscoelastic fluid
    • M. Slemrod, Instability of steady shearing flow in a nonlinear viscoelastic fluid, Arch. Rational Mech. Anal. 68, 211-225 (1978)
    • (1978) Arch. Rational Mech. Anal. , vol.68 , pp. 211-225
    • Slemrod, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.