Results 1 to 10 of about 2,475,365 (332)
European Journal of Mathematical Analysis, 2022 In the present paper, we investigate the stability results of positive weak solution for the generalized Fisher–Kolmogoroff nonlinear stationary-state problem involving weighted p-Laplacian operator −d∆P,pu = ka(x)u[ν − υu] in Ω, Bu = 0 on ∂Ω, where ∆P,p
Salah A. Khafagy, Hassan M. Serag
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On the dissipative solutions for the inviscid Boussinesq equations
AIMS Mathematics, 2020 In this paper, we study the dissipative solutions for the inviscid Boussinesq equations. It is shown that there is at least one dissipative solution for the inviscid incompressible Boussinesq equations.
Feng Cheng
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Stochastic differential equations with singular coefficients on the straight line
Advances in Difference Equations, 2020 Consider the following stochastic differential equation (SDE): X t = x + ∫ 0 t b ( s , X s ) d s + ∫ 0 t σ ( s , X s ) d B s , 0 ≤ t ≤ T , x ∈ R , $$ X_{t}=x+ \int _{0}^{t}b(s,X_{s})\,ds+ \int _{0}^{t}\sigma (s,X_{s}) \,dB_{s}, \quad 0\leq t\leq T, x\in \
Rongrong Tian, Liang Ding, Jinlong Wei
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Regularity results for solutions of micropolar fluid equations in terms of the pressure
AIMS Mathematics, 2023 This paper is devoted to investigating regularity criteria for the 3D micropolar fluid equations in terms of pressure in weak Lebesgue space. More precisely, we prove that the weak solution is regular on $ (0, T] $ provided that either the norm $ \left ...
Ines Ben Omrane +3 more
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Axioms, 2022 In this paper, based on the Euler equation and mass conservation equation in spherical coordinates, the ratio of the stratospheric average width to the planetary radius and the ratio of the vertical velocity to the horizontal velocity are selected as ...
Wenlin Zhang +2 more
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Boundary Value Problems, 2021 This paper deals with the homogeneous Neumann boundary value problem for chemotaxis system { u t = Δ u − ∇ ⋅ ( u ∇ v ) + κ u − μ u α , x ∈ Ω , t > 0 , v t = Δ v − u v , x ∈ Ω , t > 0 , $$\begin{aligned} \textstyle\begin{cases} u_{t} = \Delta u - \nabla ...
Ke Jiang, Yongjie Han
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One method to prove of existence weak solution of a mixed problem for 2D parabolic equations
Partial Differential Equations in Applied Mathematics, 2020 In this study using the residue method the solution of the first type mixed problem for 2D linear parabolic equation in the bounded cylinder of the Euclidean space R3(x,y,t)is obtained in explicit form. When the smoothness of initial data does not permit
Bahaddin Sinsoysal, Mahir Rasulov
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Analysis of the Brinkman-Forchheimer equations with slip boundary conditions [PDF]
, 2007 In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin approach.
Augusto Litonjua +16 more
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Journal of Optimization, Differential Equations and Their Applications, 2022 This paper is devoted to the solvability of an initial-boundary value problem for second-order parabolic equations in divergence form with variable order of nonlinearity.
Peter Kogut +2 more
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Global weak solution of 3D-NSE with exponential damping
Open Mathematics, 2022 In this paper, we prove the global existence of incompressible Navier-Stokes equations with damping α(eβ∣u∣2−1)u\alpha \left({e}^{\beta | u{| }^{2}}-1)u, where we use the Friedrich method and some new tools.
Benameur Jamel
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