Results 31 to 40 of about 13,013,114 (294)

General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping

open access: yesBoundary Value Problems, 2018
This article is concerned with the decay and blow-up properties of a nonlinear viscoelastic wave equation with strong damping. We first show a local existence theorem.
Qian Li, Luofei He
doaj   +1 more source

Systems with Local and Nonlocal Diffusions, Mixed Boundary Conditions, and Reaction Terms

open access: yesAbstract and Applied Analysis, 2018
We study systems with different diffusions (local and nonlocal), mixed boundary conditions, and reaction terms. We prove existence and uniqueness of the solutions and then analyze global existence vs blow up in finite time.
Mauricio Bogoya, Julio D. Rossi
doaj   +1 more source

On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN

open access: yesAdvances in Nonlinear Analysis, 2021
We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei   +3 more
doaj   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

open access: yesMolecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur   +11 more
wiley   +1 more source

Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions

open access: yesJournal of Applied Mathematics, 2008
We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation ut=uxx−a(x,t)f(u ...
Louis A. Assalé   +2 more
doaj   +1 more source

On decay and blow-up of solutions for a system of viscoelastic equations with weak damping and source terms

open access: yesJournal of Inequalities and Applications, 2019
In this article, we investigate a system of two viscoelastic equations with Dirichlet boundary conditions. Under some suitable assumptions on the function gi(⋅) $g_{i}(\cdot )$, fi(⋅,⋅) $f_{i}(\cdot ,\cdot )$ ( i=1,2 $i=1,2$) and the initial data, we ...
Luofei He
doaj   +1 more source

Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials

open access: yesAdvanced Engineering Materials, EarlyView.
Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
wiley   +1 more source

Global and Blow-Up Solutions for a Class of Nonlinear Parabolic Problems under Robin Boundary Condition

open access: yesAbstract and Applied Analysis, 2014
We discuss the global and blow-up solutions of the following nonlinear parabolic problems with a gradient term under Robin boundary conditions: (b(u))t=∇·(h(t)k(x)a(u)∇u)+f(x,u,|∇u|2,t), in D×(0,T), (∂u/∂n)+γu=0, on ∂D×(0,T), u(x,0)=u0(x)>0, in D¯, where
Lingling Zhang, Hui Wang
doaj   +1 more source

Blow-up analysis for a semilinear parabolic equation with nonlinear memory and nonlocal nonlinear boundary condition

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2010
In this paper, we consider a semilinear parabolic equation $$u_t=\Delta u+u^q\int_0^tu^p(x,s)ds,\quad x\in \Omega,\quad t>0$$ with nonlocal nonlinear boundary condition $u|_{\partial\Omega\times(0,+\infty)}=\int_\Omega\varphi(x,y) u^l(y,t)dy$ and ...
Dengming Liu, Chunlai Mu
doaj   +1 more source

The boundary blow-up rate of large solutions

open access: yesJournal of Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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