Global Well-posedness, scattering and blow up for the energy-critical, focusing, non-linear Schrödinger and wave equations
Carlos E. Kenig (2007)
Journées Équations aux dérivées partielles
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Displaying similar documents to “Blow-up time of some nonlinear wave equations.”
Global Well-posedness, scattering and blow up for the energy-critical, focusing, non-linear Schrödinger and wave equations
On solvability of boundary value problems for the wave equation with a nonlinear dissipation in noncylindrical domains.
Kozhanov, A.I., Lar'kin, N.A. (2001)
Sibirskij Matematicheskij Zhurnal
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On global solutions to a nonlinear Alfvén wave equation
XS. Feng, F. Wei (1995)
Annales Polonici Mathematici
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We establish the global existence and uniqueness of smooth solutions to a nonlinear Alfvén wave equation arising in a finite-beta plasma. In addition, the spatial asymptotic behavior of the solution is discussed.
Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results
Arina A. Arkhipova (2001)
Commentationes Mathematicae Universitatis Carolinae
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We prove local in time solvability of the nonlinear initial-boundary problem to nonlinear nondiagonal parabolic systems of equations (multidimensional case). No growth restrictions are assumed on generating the system functions. In the case of two spatial variables we construct the global in time solution to the Cauchy-Neumann problem for a class of nondiagonal parabolic systems. The solution is smooth almost everywhere and has an at most finite number of singular points.
Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean.
Gorman, Arthur D., Yang, Huijun (2001)
International Journal of Mathematics and Mathematical Sciences
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Qualitative investigation of nonlinear differential equations describing infiltration of water
Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Qualitative behavior of a class of second order nonlinear differential equations on the halfline
Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions
Théodore K. Boni (1999)
Commentationes Mathematicae Universitatis Carolinae
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We obtain some sufficient conditions under which solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions tend to zero or blow up in a finite time. We also give the asymptotic behavior of solutions which tend to zero as . Finally, we obtain the asymptotic behavior near the blow-up time of certain blow-up solutions and describe their blow-up set.