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 “On the global existence for the axisymmetric Euler equations”
Global Well-posedness, scattering and blow up for the energy-critical, focusing, non-linear Schrödinger and wave equations
Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
W. M. Zajączkowski (1995)
Annales Polonici Mathematici
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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Entropy solutions to the Buckley--Leverett equations.
Luckhaus, S., Plotnikov, P.I. (2000)
Siberian Mathematical Journal
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Asymptotic stability of a stationary flowing regime of an ideal incompressible fluid.
Morgulis, A.B., Yudovich, V.I. (2002)
Sibirskij Matematicheskij Zhurnal
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Solvability of inverse extremal problems for stationary heat and mass transfer equations.
Alekseev, G.V. (2001)
Sibirskij Matematicheskij Zhurnal
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On local motion of a general compressible viscous heat conducting fluid bounded by a free surface
Ewa Zadrzyńska, Wojciech M. Zajączkowski (1994)
Annales Polonici Mathematici
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The motion of a viscous compressible heat conducting fluid in a domain in ℝ³ bounded by a free surface is considered. We prove local existence and uniqueness of solutions in Sobolev-Slobodetskiĭ spaces in two cases: with surface tension and without it.
Neumann problem for one-dimensional nonlinear thermoelasticity
Yoshihiro Shibata (1992)
Banach Center Publications
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The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
Ergodicity of PCA: equivalence between spatial and temporal mixing conditions.
Louis, Pierre-Yves (2004)
Electronic Communications in Probability [electronic only]
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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.
Distribution of values of Euler's function over integers free of large prime factors
A. Smati, J. Wu (1996)
Acta Arithmetica
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Nice local global fields. IV.
Ershov, Yu. L. (2002)
Sibirskij Matematicheskij Zhurnal
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