Results 11 to 20 of about 160 (121)

Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger

Abstract and Applied Analysis
MSC2020 Classification: 35K05, 35K55, 35A15, 35A01, 35A02, and ...
Kouma Ali Ouattara, Bomisso Gossrin Jean-Marc, Bérenger Akon Kpata, Touré Kidjégbo Augustin   +3 more
doaj   +2 more sources

Emotion estimation from video footage with LSTM. [PDF]

Front Neurorobot
Attrah S.
europepmc   +2 more sources

Strong solutions for semilinear problems with almost sectorial operators [PDF]

, 2022
In this paper we study a semilinear parabolic problem ut + Au = f(t, u), t > τ ; u(τ ) = u0 ∈ X, in a Banach space X, where A : D(A) ⊂ X → X is an almost sectorial operator. This problem is locally well-posed in the sense of mild solutions.
Boldrin Belluzi, Maykel, Nascimento, Marcelo J.D., Caraballo Garrido, Tomás, Schiabel, Karina, Marcelo J. D. Nascimento, Karina Schiabel, Tomás Caraballo, Maykel Belluzi   +7 more
core   +1 more source

On a strongly damped semilinear wave equation with time-varying source and singular dissipation

Advances in Nonlinear Analysis, 2022
This paper deals with the global well-posedness and blow-up phenomena for a strongly damped semilinear wave equation with time-varying source and singular dissipative terms under the null Dirichlet boundary condition.
Yang Yi, Fang Zhong Bo
doaj   +1 more source

Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability

Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021
Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo, Jingyu Li, Zhi‐An Wang   +2 more
wiley   +1 more source

Global nonexistence and blow-up results for a quasi-linear evolution equation with variable-exponent nonlinearities

, 2021
In this paper, we consider a class of quasi-linear parabolic equations with variable exponents, a (x, t) ut − ∆m(.)u = fp(.) (u) in which fp(.) (u) the source term, a(x, t) > 0 is a nonnegative function, and the exponents of nonlinearity m(x), p(x ...
RAHMOUNE, Abita, BENABDERRAHMAN, Benyattou   +1 more
core   +1 more source

A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems

Advances in Nonlinear Analysis, 2020
In this paper we deal with the elliptic ...
López-Martínez Salvador
doaj   +1 more source

Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy

Advances in Nonlinear Analysis, 2022
Time-fractional partial differential equations are nonlocal-in-time and show an innate memory effect. Previously, examples like the time-fractional Cahn-Hilliard and Fokker-Planck equations have been studied.
Fritz Marvin, Khristenko Ustim, Wohlmuth Barbara   +2 more
doaj   +1 more source

Three Scale Unfolding Homogenization Method Applied to Cardiac Bidomain Model

, 2021
International audienceIn this paper, we are dealing with a rigorous homogenization result at two different levels for the bidomain model of cardiac electro-physiology.
Bader, Fakhrielddine, Talhouk, Raafat, Bendahmane, Mostafa, Saad, Mazen, Mostafa Bendahmane, Fakhrielddine Bader, Mazen Saad, Raafat Talhouk   +7 more
core   +1 more source

Global existence for time-dependent damped wave equations with nonlinear memory

Advances in Nonlinear Analysis, 2023
In this article, we consider the Cauchy problem for a semi-linear wave equation with time-dependent damping and memory nonlinearity. Conditions for global existence are presented in the energy space H1(Rn)×L2(Rn){H}^{1}\left({{\mathbb{R}}}^{n})\times {L}^
Kirane Mokhtar, Fino Ahmad Z., Alsaedi Ahmed, Ahmad Bashir   +3 more
doaj   +1 more source