Results 11 to 20 of about 807 (97)

Global Well-Posedness for 2-D Viscoelastic Fluid Model [PDF]

, 2016
This paper is concerned with a mathematical model which describes 2-D flows of an incompressible viscoelastic fluid of Oldroyd type in a bounded domain.
Artemov, Mikhail A., Berdzenishvili, George G.   +1 more
core   +1 more source

Effective equation for a system of mechanical oscillators in an acoustic field [PDF]

, 2014
We consider a one dimensional evolution problem modeling the dynamics of an acoustic field coupled with a set of mechanical oscillators. We analyze solutions of the system of ordinary and partial differential equations with time-dependent boundary ...
Cacciapuoti, Claudio, Figari, Rodolfo, Posilicano, Andrea   +2 more
core   +1 more source

Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations

Advances in Nonlinear Analysis, 2020
In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
doaj   +1 more source

Positive Solutions for Resonant (p, q)-equations with convection

Advances in Nonlinear Analysis, 2020
We consider a nonlinear parametric Dirichlet problem driven by the (p, q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. A parametric one consisting of the sum of a singular term and of a drift
Liu Zhenhai, Papageorgiou Nikolaos S.
doaj   +1 more source

Existence and Concentration of Solutions for Choquard Equations with Steep Potential Well and Doubly Critical Exponents

Advanced Nonlinear Studies, 2021
In this paper, we investigate the non-autonomous Choquard ...
Li Yong-Yong, Li Gui-Dong, Tang Chun-Lei
doaj   +1 more source

Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well

Advanced Nonlinear Studies, 2022
We study the existence of solutions for the quasilinear Schrödinger equation with the critical exponent and steep potential well. By using a change of variables, the quasilinear equations are reduced to a semilinear one, whose associated functionals ...
Xue Yan-Fang, Zhong Xiao-Jing, Tang Chun-Lei   +2 more
doaj   +1 more source

Asymptotic behaviour of the non-autonomous 3D Navier-Stokes problem with coercive force [PDF]

, 2010
We construct pullback attractors to the weak solutions of the three-dimensional Dirichlet problem for the incompressible Navier-Stokes equations in the case when the external force may become unbounded as time goes to plus or minus infinity.Comment: 22 ...
Vorotnikov, Dmitry
core   +2 more sources

Small perturbations of critical nonlocal equations with variable exponents

Demonstratio Mathematica, 2023
In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }^{q\left(x)-2}u&
Tao Lulu, He Rui, Liang Sihua
doaj   +1 more source

On continuous dependence for the mixed problem of microstretch bodies

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We do a qualitative study on the mixed initial-boundary value problem in the elastodynamic theory of microstretch bodies. After we trans- form this problem in a temporally evolutionary equation on a Hilbert space, we will use some results from the theory
Marin M., Abbas I., Cârstea C.
doaj   +1 more source

Three solutions for equations involving nonhomogeneous operators of p-Laplace type in RN

Journal of Inequalities and Applications, 2014
In this paper, we are concerned with the following elliptic equation −div(φ(x,∇u))=λf(x,u)in RN, where the function φ(x,v) is of type |v|p−2v and f:RN×R→R satisfies a Carathéodory condition.
Eun Bee Choi, Yun-Ho Kim
semanticscholar   +2 more sources