Results 1 to 10 of about 721,883 (168)
Kelvin-Voigt equations with memory: existence, uniqueness and regularity of solutions
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In general, the study of inverse problems is realizable only in the case when the corresponding direct problems have the unique solution with some necessary properties such as continuity and regularity.
Kh. Khompysh, N.K. Nugymanova
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Strong solutions for singular Dirichlet elliptic problems
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We prove an existence result for strong solutions $u\in W^{2,q}\left(\Omega\right) $ of singular semilinear elliptic problems of the form $-\Delta u=g\left( \cdot,u\right) $ in $\Omega,$ $u=\tau$ on $\partial\Omega,$ where ...
Tomas Godoy
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Electronic Journal of Qualitative Theory of Differential Equations, 2020 We are concerned with the Cauchy problem of nonhomogeneous Boussinesq equations for magnetohydrodynamics convection in $\mathbb{R}^2$. We show that there exists a unique local strong solution provided the initial density, the magnetic field, and the ...
Xin Zhong
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Generalized Navier–Stokes Equations with Non-Homogeneous Boundary Conditions
Fractal and Fractional, 2022 We study the generalized unsteady Navier–Stokes equations with a memory integral term under non-homogeneous Dirichlet boundary conditions. Using a suitable fractional Sobolev space for the boundary data, we introduce the concept of strong solutions.
Evgenii S. Baranovskii +1 more
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Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we deal with a system of partial differential equations describing a steady motion of an incompressible magnetohydrodynamic fluid, where the extra stress tensor is induced by a potential with $p$-structure ($p=2$ corresponds to the ...
Weiwei Shi, Changjia Wang
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CONDUCTANCES OF STRONG SOLUTIONS OF STRONG ELECTROLYTES [PDF]
Canadian Journal of Research, 1950 The conductances, densities, and viscosities of solutions of silver nitrate and of ammonium nitrate, at 25 °C., have been determined at concentrations ranging from 0.1 N to saturation (about 9 and 11 N respectively). By way of comparison, the same data have been obtained for the weak electrolyte acetic acid, up to 99.7% by weight concentration.
Alan N. Campbell, Elinor M. Kartzmark
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Strong Solutions of the Incompressible Navier–Stokes–Voigt Model
Mathematics, 2020 This paper deals with an initial-boundary value problem for the Navier−Stokes−Voigt equations describing unsteady flows of an incompressible non-Newtonian fluid.
Evgenii S. Baranovskii
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Global Existence for some Cross Diffusion Systems with Equal Cross Diffusion/Reaction Rates
Advanced Nonlinear Studies, 2020 We consider some cross diffusion systems which is inspired by models in mathematical biology/ecology, in particular the Shigesada–Kawasaki–Teramoto (SKT) model in population biology.
Le Dung
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Exact solutions in radiation reaction and the radiation-free direction
New Journal of Physics, 2021 We present new exact solutions of the Landau–Lifshitz (LL) and higher-order LL equations describing particle motion, with radiation reaction, in intense electromagnetic fields.
Robin Ekman, Tom Heinzl, Anton Ilderton
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Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator [PDF]
Mathematica Moravica, 2022 In this paper, we consider a nonlinear beam equation with a strong damping and the p(x)-biharmonic operator. The exponent p(·) of nonlinearity is a given function satisfying some condition to be specified.
Ferreira Jorge +3 more
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