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Existence of steady-state solutions to predator-prey equations in a heterogeneous environment

✍ Scribed by Clayton Keller; Roger Lui

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
756 KB
Volume
123
Category
Article
ISSN
0022-247X

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Existence of a weak solution to the Navi
Existence of a weak solution to the Navier–Stokes equation in a general time-varying domain by the Rothe method
✍ JiΕ™Γ­ Neustupa πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 343 KB πŸ‘ 1 views

## Abstract We assume that Ξ©^__t__^ is a domain in ℝ^3^, arbitrarily (but continuously) varying for 0β©½__t__β©½__T__. We impose no conditions on smoothness or shape of Ξ©^__t__^. We prove the global in time existence of a weak solution of the Navier–Stokes equation with Dirichlet's homogeneous or inhom