نتایج جستجو برای: smooth solutions

تعداد نتایج: 451133  

Journal: :Communications in Nonlinear Science and Numerical Simulation 2014

2008
Erik Endres Helge Kristian Jenssen Mark Williams

We construct stationary solutions to the barotropic, compressible Euler and NavierStokes equations in several space dimensions with spherical or cylindrical symmetry. For given Dirichlet data on a sphere or a cylinder we first construct smooth and radially symmetric solutions to the Euler equations in the exterior domain. On the other hand, stationary smooth solutions in the interior domain nec...

In this paper, under appropriate oscillating behaviours of the nonlinear term, we prove some multiplicity results for a class of nonlinear fractional equations. These problems have a variational structure and we find three solutions for them by exploiting an abstract result for smooth functionals defined on a reflexive Banach space. To make the nonlinear methods work, some careful analysis of t...

Journal: :Proceedings of the American Mathematical Society 1959

Journal: :Vestnik of Samara University. Natural Science Series 2017

Journal: :ESAIM: Control, Optimisation and Calculus of Variations 2002

Journal: :Memoirs of the American Mathematical Society 2020

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