Results 21 to 30 of about 321,760 (289)
Anisotropic Besov regularity of parabolic PDEs
CoRR, 2021 This paper is concerned with the regularity of solutions to parabolic evolution equations. Special attention is paid to the smoothness in the specific anisotropic scale $\ B^{r\mathbf{a}}_{τ,τ}, \ \frac{1}τ=\frac{r}{d}+\frac{1}{p}\ $ of Besov spaces where $\mathbf{a}$ measures the anisotropy.
Stephan Dahlke, Cornelia Schneider
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Moments of the Anisotropic Regularized κ-distributions [PDF]
The Astrophysical Journal, 2019 Abstract For collisionless (or collision-poor) plasma populations, which are well described by the κ-distribution functions (also known as the Kappa or Lorentzian power-laws), a macroscopic interpretation has remained largely questionable, especially because of the diverging moments of these distributions.
Klaus Scherer +3 more
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Anisotropic function spaces and maximal regularity for parabolic problems. Part 1 [PDF]
, 2010 In this first part of a treatise on maximal regularity for linear parabolic systems we provide an in-depth investigation of anisotropic function spaces. Special attention is given to trace and extension theorems on hyper-planes and corners.
Amann, H
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Generation of anisotropic-smoothness regularization filters for EIT [PDF]
IEEE Transactions on Medical Imaging, 2002 In the inverse conductivity problem, as in any ill-posed inverse problem, regularization techniques are necessary in order to stabilize inversion. A common way to implement regularization in electrical impedance tomography is to use Tikhonov regularization.
Andrea Borsic +2 more
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Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation [PDF]
, 2013 In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity.
Tran, Chuong Van +6 more
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Applied Mathematics Letters, 2005 In this note, we prove that given u a weak solution of the Primitive Equations, imposing an additional condition on the vertical derivative of the velocity u (concretely ∂zu ∈ L∞(0, T;L2(Ω)) ∩ L2(0, T; H1(Ω))), then two different results hold; namely, uniqueness of weak solution (any weak solution associated to the same data that u must coincide with u)
Francisco Guillén-González +1 more
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Flows of singular vector fields and applications to fluid and kinetic equations [PDF]
, 2015 Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
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The anisotropic Cahn--Hilliard equation: regularity theory and strict separation properties [PDF]
, 2023 The Cahn--Hilliard equation with anisotropic energy contributions frequently appears in many physical systems. Systematic analytical results for the case with the relevant logarithmic free energy have been missing so far.
Garcke, Harald +2 more
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Anisotropic singular logistic equations [PDF]
Opuscula MathematicaWe consider a parametric Dirichlet problem driven by the anisotropic \((p,q)\)-Laplacian and a reaction with a singular term and a superdiffusive logistic perturbation.
João Pablo Pinheiro Da Silva +3 more
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Mathematical and Computational Applications, 2019 We study a variational problem for hypersurfaces in the Euclidean space with an anisotropic surface energy. An anisotropic surface energy is the integral of an energy density that depends on the surface normal over the considered hypersurface, which was ...
Miyuki Koiso
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