Results 51 to 60 of about 8,399,495 (263)
Weak solutions for diffusion-convection equations
Applied Mathematics Letters, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Weifu, Ito, Kazufumi
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Qualitative Analysis of a Control-Volume Fibre Coating Model
Journal of Optimization, Differential Equations and Their ApplicationsThis paper presents qualitative analysis of the solutions to a control-volume model for liquid films flowing down a vertical fibre. Time evolution of the free surface is governed by a coupled system of degenerate nonlinear partial differential equations,
R. M. Taranets, M. Chugunova
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Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, two families of exact solutions to two-dimensional incompressible rotational Euler equations are constructed by connecting the Euler equations with the Laplace equation via a stream function.
Yang Chen, Yunhu Wang, Manwai Yuen
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Weak solutions for a nonlinear dispersive equation
Journal of Mathematical Analysis and Applications, 1977 AbstractIn this paper we study the existence, uniqueness, and regularity of the solutions for the Cauchy problem for the evolution equation ut + (f (u))x − uxxt = g(x, t), (∗) where u = u(x, t), x is in (0, 1), 0 ⩽ t ⩽ T, T is an arbitrary positive real number,f(s)ϵC1R, and g(x, t)ϵ L∞(0, T; L2(0, 1)).
L.A. Medeiros, M. Milla Miranda
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Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.
Khoirunisa Khoirunisa +2 more
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Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions
Journal of elasticity, 2017 The well-posedness of the boundary value problems for second gradient elasticity has been studied under the assumption of strong ellipticity of the dependence on the second placement gradients (see, e.g., Chambon and Moullet in Comput. Methods Appl. Mech.
V. Eremeyev +3 more
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Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data [PDF]
SIAM Journal on Mathematical Analysis, 2015 We establish some conditional uniqueness of weak solutions to the viscous primitive equations, and as an application, we prove the global existence and uniqueness of weak solutions, with the initial data taken as small $L^\infty$ perturbations of ...
Jinkai Li, E. Titi
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Global Weak Solutions for SQG in Bounded Domains [PDF]
, 2016 We prove existence of global weak L2 solutions of the inviscid SQG equation in bounded domains. © 2017 Wiley Periodicals, Inc.
P. Constantin, H. Nguyen
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Existence of Weak Solutions to Stationary Mean-Field Games through Variational Inequalities [PDF]
SIAM Journal on Mathematical Analysis, 2015 Here, we consider stationary monotone mean-field games (MFGs) and study the existence of weak solutions. First, we introduce a regularized problem that preserves the monotonicity. Next, using variational inequalities techniques, we prove the existence of
Rita Ferreira, D. Gomes
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On Pacard's regularity for the equation $-Delta u = u^p$
Electronic Journal of Differential Equations, 2012 It is shown that the singular set for a positive solution of the PDE $-Delta u = u^p$ has Hausdorff dimension less than or equal to $n - 2p'$, as conjectured by Pacard [12 in 1993.
David R. Adams
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