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Multiple Solutions in Fluid Dynamics
The principle of multiple solutions of the Navier-Stokes and energy equations discussed in this paper is not directed at any particular problems in fluid dynamics and heat transfer, or at any specific applications. The non-uniqueness principle states that the Reynolds number, above its critical value, is insufficient to uniquely determine a flow field ...
Yao, L.-S.
openaire +6 more sources
Multiple solutions for impulsive problems with non-autonomous perturbations
Zengqin Zhao
exaly +2 more sources
Multiple solutions for a Schrödinger–Bopp–Podolsky system with positive potentials [PDF]
In this paper, we prove existence of solutions for a Schrödinger–Bopp–Podolsky system under positive potentials. We use the Ljusternick–Schnirelmann and Morse Theories to get multiple solutions with a priori given “interaction energy.”
G. Figueiredo, G. Siciliano
semanticscholar +1 more source
Self-similar electrohydrodynamic solutions in multiple coaxial Taylor cones [PDF]
Article number R1We calculate analytically the self-similar Stokes flow driven by an externally applied electric field in a multiple coaxial Taylor cone consisting of an arbitrary number of immiscible leaky-dielectric or dielectric fluids. The proposed
Montanero Fernández, José María +1 more
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CNV Radar: an improved method for somatic copy number alteration characterization in oncology
Background Cancer associated copy number variation (CNV) events provide important information for identifying patient subgroups and suggesting treatment strategies.
David Soong +15 more
doaj +1 more source
Computing multiple solutions of topology optimization problems [PDF]
Topology optimization problems often support multiple local minima due to a lack of convexity. Typically, gradient-based techniques combined with continuation in model parameters are used to promote convergence to more optimal solutions; however, these ...
Ioannis P. A. Papadopoulos +2 more
semanticscholar +1 more source
Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng +8 more
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Multiple solutions for parametric double phase Dirichlet problems
We consider a parametric double phase Dirichlet problem. Using variational tools together with suitable truncation and comparison techniques, we show that for all parametric values [Formula: see text] the problem has at least three nontrivial solutions ...
Nikolaos S. Papageorgiou +2 more
semanticscholar +1 more source
Multiple solutions of nonlinear boundary value problems with oscillatory solutions
We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
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On double phase Kirchhoff problems with singular nonlinearity
In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh +3 more
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