Results 11 to 20 of about 10,780,423 (379)
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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Heat-Conducting, Compressible Mixtures with Multicomponent Diffusion: Construction of a Weak Solution [PDF]
SIAM Journal on Mathematical Analysis, 2014 We investigate a coupling between the compressible Navier-Stokes-Fourier system and the full Maxwell-Stefan equations. This model describes the motion of chemically reacting heat-conducting gaseous mixture.
Piotr Bogusław Mucha +2 more
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Existence of weak solution for volume preserving mean curvature flow via phase field method [PDF]
, 2015 We study the phase field method for the volume preserving mean curvature flow. Given an initial $C^1$ hypersurface we proved the existence of the weak solution for the volume preserving mean curvature flow via the reaction diffusion equation with a ...
K. Takasao
semanticscholar +1 more source
Weak solution of the non-perturbative renormalization group equation to describe dynamical chiral symmetry breaking [PDF]
, 2014 ψψoperator andt is the logarithm of the renormalization scale. The DχSB occurs due to the quantum corrections, which means it emerges at some finite tc while integrating the equation with respect to t .A ttc some singularities suddenly appear in V which ...
K. Aoki +2 more
semanticscholar +1 more source
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
core +6 more sources
Weak transversality and partially invariant solutions [PDF]
Journal of Mathematical Physics, 2003 New exact solutions are obtained for several nonlinear physical equations, namely the Navier–Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinear Schrödinger equation. The solution method makes use of the symmetry group of the system in situations when the standard Lie method of symmetry reduction is not applicable.
Grundland, A. M. +2 more
openaire +3 more sources
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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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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