Results 11 to 20 of about 147 (113)
Global nonexistence and blow-up results for a quasi-linear evolution equation with variable-exponent nonlinearities [PDF]
, 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 +1 more
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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 +3 more
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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 +3 more
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Note for Global Existence of Semilinear Heat Equation in Weighted L^∞ Space [PDF]
, 2019 The local and global existence of the Cauchy problem for semilinear heat equations with small data is studied in the weighted L^∞(R^n ) framework by a simple contraction argument.
Fujiwara, K., Georgiev, V., Ozawa, T.
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Some existence results for a class of parabolic equations with nonlinear boundary conditions [PDF]
Using the Galerkin approximation and a family of potential wells, we establish the existence of a global weak solution under appropriate conditions.
LAMAIZI, Anass +3 more
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On a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions [PDF]
This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary.
BOUKHATEM, Yamna +2 more
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Inverse Problem Analysis for the 2D Sixth-Order Boussinesq Equation Subject to Extra Conditions
Advances in Mathematical PhysicsMSC2020 Classification : 35R30, 35D30 ...
M. J. Huntul +2 more
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Advances in Nonlinear Analysis, 2021 We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we consider the initial value problem associated with the cubic nonlinear Schrödinger equation with third‐order dispersion ∂tu+iα∂x2u+β∂x3u+iγu2u=0,x∈ℝ,t∈ℝ,ux,0=u0x, where α, β and γ are real constants such that β, γ ≠ 0, u is a complex valued function and the initial data u0 is analytic on ℝ and has a uniform radius of analyticity σ0 in
Tegegne Getachew, Xiasheng Shi
wiley +1 more source
Strongly nonlinear periodic parabolic equation in Orlicz spaces [PDF]
In this paper, we prove the existence of a weak solution to the following nonlinear periodic parabolic equations in Orlicz-spaces: $$\frac{\partial u}{\partial t}-div(a(x,t,\nabla u))=f(x,t)$$ where $-div(a (x,t,\nabla u))$ is a Leray-Lions ...
ELHOUSSINE, Azroul +2 more
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