Results 31 to 40 of about 1,254 (85)

Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains

, 2019
We consider blow-up results for a system of inhomogeneous wave inequalities in exterior domains. We will handle three type boundary conditions: Dirichlet type, Neumann type and mixed boundary conditions.
Jleli, Mohamed, Samet, Bessem, Ye, Dong
core   +1 more source

Temporal periodic solutions of non-isentropic compressible Euler equations with geometric effects

Advances in Nonlinear Analysis
In this article, we investigate the general qusi-one-dimensional nozzle flows governed by non-isentropic compressible Euler system. First, the steady states of the subsonic and supersonic flows are analyzed. Then, the existence, stability, and uniqueness
Fang Xixi, Ma Shuyue, Yu Huimin
doaj   +1 more source

On regular solutions to compressible radiation hydrodynamic equations with far field vacuum

Advances in Nonlinear Analysis, 2022
The Cauchy problem for three-dimensional (3D) isentropic compressible radiation hydrodynamic equations is considered. When both shear and bulk viscosity coefficients depend on the mass density ρ\rho in a power law ρδ{\rho }^{\delta } (with ...
Li Hao, Zhu Shengguo
doaj   +1 more source

Blowup of Solutions of the Hydrostatic Euler Equations [PDF]

, 2012
In this paper we prove that for a certain class of initial data, smooth solutions of the hydrostatic Euler equations blow up in finite time.Comment: 7 pages; added 1 reference in section 1, paraphrased lemma 2.2, but all mathematical details remain ...
Wong, Tak Kwong
core  

Absence of global solutions to wave equations with structural damping and nonlinear memory

Demonstratio Mathematica
We prove the nonexistence of global solutions for the following wave equations with structural damping and nonlinear memory source term utt+(−Δ)α2u+(−Δ)β2ut=∫0t(t−s)δ−1∣u(s)∣pds{u}_{tt}+{\left(-\Delta )}^{\tfrac{\alpha }{2}}u+{\left(-\Delta )}^{\tfrac ...
Kirane Mokhtar, Nabti Abderrazak, Jlali Lotfi   +2 more
doaj   +1 more source

Very large solutions for the fractional Laplacian: Towards a fractional Keller–Osserman condition

Advances in Nonlinear Analysis, 2017
We look for solutions of (-△)s⁢u+f⁢(u)=0{{\left(-\triangle\right)}^{s}u+f(u)=0} in a bounded smooth domain Ω, s∈(0,1){s\in(0,1)}, with a strong singularity at the boundary. In particular, we are interested in solutions which are L1⁢(Ω){L^{1}(\Omega)} and
Abatangelo Nicola
doaj   +1 more source

On the singularly perturbation fractional Kirchhoff equations: Critical case

Advances in Nonlinear Analysis, 2022
This article deals with the following fractional Kirchhoff problem with critical exponent a+b∫RN∣(−Δ)s2u∣2dx(−Δ)su=(1+εK(x))u2s∗−1,inRN,\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}| {\left(-\Delta )}^{\tfrac{s}{2}}u\hspace{-0.25em}{| }^{2}{\rm{d ...
Gu Guangze, Yang Zhipeng
doaj   +1 more source

Positive solutions for asymptotically linear Schrödinger equation on hyperbolic space

Advances in Nonlinear Analysis
In this article, we study the following stationary Schrödinger equation on hyperbolic space: −ΔHNu+λu=f(u),x∈HN,N≥3,-{\Delta }_{{{\mathbb{H}}}^{N}}u+\lambda u=f\left(u),\hspace{1.0em}x\in {{\mathbb{H}}}^{N},\hspace{1em}N\ge 3, where ΔHN{\Delta }_ ...
Gao Dongmei, Wang Jun, Wang Zhengping
doaj   +1 more source

Advancing analytical solutions: Novel wave insights and methodologies for beta fractional Kuralay-II equations

Demonstratio Mathematica
This article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj   +1 more source

Existence results for nonhomogeneous Choquard equation involving p-biharmonic operator and critical growth

Demonstratio Mathematica
In this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the pp-biharmonic operator: M∫Ω∣Δu∣pdxΔp2u−Δpu=λ(∣x∣−μ⁎∣u∣q)∣u∣q−2u+∣u∣p*−2u+f,inΩ,u=Δu=0,on∂Ω,\left\{\begin{array}{l}
Hai Quan, Zhang Jing
doaj   +1 more source