Anisotropic parabolic equations with variable nonlinearity [PDF]
Publicacions Matemàtiques, 2009 We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time L∞ bounds for the weak ...
Antontsev, S., Shmarev, S.
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On the Anisotropic Landau–Lifshitz Equations [PDF]
Journal of Mathematical Analysis and Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Qun
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The anisotropic averaged Euler equations [PDF]
, 2000 The purpose of this paper is to derive the anisotropic averaged Euler equations and to study their geometric and analytic properties. These new equations involve the evolution of a mean velocity field and an advected symmetric tensor that captures the fluctuation effects.
Marsden, Jerrold E., Shkoller, Steve
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Existence Of Two Positive Solutions For Anisotropic Nonlinear Elliptic Equations [PDF]
, 2021 This paper deals with the existence of nontrivial solutions for a class of nonlinear elliptic equations driven by an anisotropic Laplacian operator.
Sciammetta, A, D'Agui, G, Bonanno, G
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Initial-Boundary Value Problems for Anisotropic Parabolic Equations with Variable Exponents of the Nonlinearity in Unbounded Domains with Conditions at Infinity [PDF]
, 2022 We deal with the initial-boundary value problems with some restrictions atinfinity for linear and nonlinear anisotropic parabolic second-order equations in unbounded domains with respect to the spatial variables.
Bokalo, Mykola; Department of Mathematical Statistics and Differential Equations, Ivan Franko National University of Lviv
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Anisotropic solid cylindrical waveguides [PDF]
, 2022 Object and purpose of research. The article studies the behavior of anisotropic elastic bodies of cylindrical shape (orthotropic shell and transversely isotropic rod).
Kleschev A.A.
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New Anisotropic Exact Solution in Multifield Cosmology
Universe, 2021 In the case of two-scalar field cosmology, and specifically for the Chiral model, we determine an exact solution for the field equations with an anisotropic background space.
Andronikos Paliathanasis
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Discontinuous Galerkin methods for computational aerodynamics - 3D adaptive flow simulation with the DLR PADGE code [PDF]
, 2010 Over the last years, the discontinuous Galerkin method (DGM) has demonstrated its excellence in accurate, high-order numerical simulations for a wide range of applications in computational physics.
Ralf Hartmann +6 more
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Coupled heat transfer between a viscous shock gasdynamic layer and a transversely streamlined anisotropic half-space [PDF]
INCAS Bulletin, 2020 The purpose of the article is to analytically solve the conjugate problem of heat transfer in a viscous shock layer on a blunt object and thermal conductivity in an anisotropic half-space.
Olga V. TUSHAVINA
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Anisotropic equations in $L^1$
Differential and Integral Equations, 1996 Let \(\mu\) be a bounded Radon measure on \(\Omega\). The authors prove existence of a solution of the anisotropic quasilinear Dirichlet problem \[ - \sum^n_{i= 1} {\partial\over \partial x_i} \Biggl(\Biggl|{\partial u\over \partial x_i}\Biggr|^{p_i- 2} {\partial u\over \partial x_i}\Biggr)= \mu \quad \text{in }\Omega,\quad u= 0\quad \text{on }\partial
L. BOCCARDO +2 more
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