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Lp theory for Boussinesq system with Dirichlet boundary conditions
(Taylor and Francis Ltd., 2019)
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.We consider the stationary Boussinesq system with non-homogeneous Dirichlet boundary conditions in a bounded domain Ω ⊂ R3 of class C1, 1 with a possibly ...
Gluing methods for vortex dynamics in euler flows
(Springer, 2020)
A classical problem for the two-dimensional Euler flow for an incompressible fluid confined to a smooth domain is that of finding regular solutions with highly concentrated vorticities around N moving vortices. The formal ...
Weak solutions of semilinear elliptic equation involving Dirac mass
(Elsevier, 2018)
In this paper, we study the elliptic problem with Dirac mass
{ -Delta u = Vu(p) + k delta(0) in R-N, (1)
lim(vertical bar x vertical bar ->+infinity) u(x) = 0,
where N > 2, p > 0, k > 0, delta(0) is the Dirac ...
Reproductive weak solutions of magneto-micropolar fluid equations in exterior domains
(Elsevier, 2002)
We establish the existence of a reproductive weak solution, a so-called periodic Weak solution, for the equations of motion of magneto-micropolar fluids in exterior domains in R3.
Boundary Singularities on a Wedge-like Domain of a Semilinear Elliptic Equation
(Cambridge Univ Press, 2015)
Let n >= 2 and let Omega subset of Rn+1 be a Lipschitz wedge-like domain. We construct positive weak solutions of the problem
Delta u + u(P) = 0 in Omega
that vanish in a suitable trace sense on partial derivative ...
On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1997)
We consider the Cauchy problem for a system of partial differential equations that describes the dynamics of a viscous weakly stratified fluid in three dimensional space. The existence of solutions of the problem follows ...
Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
(SPRINGER-VERLAG, 2002)
We consider the two-dimensional motion of several non-homogeneous rigid
bodies immersed in an incompressible non-homogeneous viscous fluid. The fluid,
and the rigid bodies are contained in a fixed open bounded set of R2. ...
Weak solutions of the transmission problem in anti-plane Cosserat elasticity
(Wiley-V C H Verlag GMBH, 2016)
In this paper we prove the existence of weak solutions for the inclusion problem in anti-plane Cosserat elasticity in Sobolev space setting, and for the corresponding systems of boundary integral equations.
On the existence of weak solutions of semilinear elliptic equations and systems with Hardy potentials
(Academic Press Inc., 2019)
© 2018 Elsevier Inc.Let Ω⊂RN (N≥3) be a bounded C2 domain and δ(x)=dist(x,∂Ω). Put Lμ=Δ+[Formula presented] with μ>0. In this paper, we provide various necessary and sufficient conditions for the existence of weak ...