Results 41 to 50 of about 807 (97)
A limit model for thermoelectric equations
We analyze the asymptotic behavior corresponding to the arbitrary high conductivity of the heat in the thermoelectric devices. This work deals with a steady-state multidimensional thermistor problem, considering the Joule effect and both spatial and ...
A. Bulusu+35 more
core +1 more source
Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs+2 more
wiley +1 more source
A COUPLED SYSTEM OF FUNCTIONAL DIFFERENTIAL EQUATIONS IN REFLEXIVE BANACH SPACES
We present an existence theorem for at least one weak solution for the coupled system of functional differential equations x ′(t) = f1(t, y ′(t)), t ∈ (0, T ], y ′(t) = f2(t, x ′(t)), t ∈ (0, T ] in reflexive Banach spaces.
A. El-Sayed, W. El-Sayed, A. El-Mowla
semanticscholar +1 more source
Existence of solutions to strongly damped quasilinear wave equations
In this paper, we study the strongly damped quasilinear wave equation. By using spatial sequence techniques and energy estimate methods, we obtain the existence theorem of the solution to abstract a strongly damped wave equation and to a class of ...
Hongying Luo, Li-mei Li, T. Ma
semanticscholar +2 more sources
In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied.
Mukiawa Soh Edwin
doaj +1 more source
SOLUTIONS FOR THE P ( X )-LAPLACIAN WITH DEPENDENCE ON THE GRADIENT
This paper is concerned with the existence of nontrivial solutions for p(x)Laplacian equations with gradient dependence { −div ( |∇u|p(x)−2∇u ) + |u|p(x)−2 u = f(x, u, |∇u|p(x)−2∇u) in Ω, u = 0 on ∂Ω, (P) The techniques are based on an iterative scheme ...
R. Ayazoğlu, S. Akbulutb, E. Akkoyunluc
semanticscholar +1 more source
Nonlinear elliptic boundary value problems with convection term and Hardy potential
In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel+2 more
doaj +1 more source
In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed+2 more
wiley +1 more source
Well-posedness and stationary solutions [PDF]
In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Burns, Martin, Grinfeld, Michael
core
Regularity theory for nonlinear systems of SPDEs
We consider systems of stochastic evolutionary equations of the type $$du=\mathrm{div}\,S(\nabla u)\,dt+\Phi(u)dW_t$$ where $S$ is a non-linear operator, for instance the $p$-Laplacian $$S(\xi)=(1+|\xi|)^{p-2}\xi,\quad \xi\in\mathbb R^{d\times D},$$ with
Breit, Dominic
core +1 more source