Sharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer [PDF]
Complex Variables and Elliptic Equations, 2020 We deal with $m$-component vector-valued solutions to the Cauchy problem for linear both homogeneous and nonhomogeneous weakly coupled second order parabolic system in the layer ${\mathbb R}^{n+1}_T={\mathbb R}^n\times (0, T)$.
Kresin G., Maz'ya V.
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Mechanical degradation induced by the alkaline water effects of weakly cemented fine-grained sandstone [PDF]
Scientific ReportsRock mechanical properties degradation induced by water-rock reactions may trigger various underground space disasters such as rib spalling or roof caving in underground spaces.
Tao Luo +6 more
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On the Convergence Result of the Fractional Pseudoparabolic Equation [PDF]
Journal of Mathematics, 2023 In this paper, we consider the nonlinear fractional Laplacian pseudoparabolic equation (NFLPPE). We mainly focus on the convergence of mild solutions with respect to the order of fractional Laplacian.
Nguyen Van Tien, Reza Saadati
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Weakly hyperbolic equations with time degeneracy in Sobolev spaces [PDF]
Abstract and Applied Analysis, 1997 The theory of nonlinear weakly hyperbolic equations was developed during the last decade in an astonishing way. Today we have a good overview about assumptions which guarantee local well posedness in spaces of smooth functions (C∞, Gevrey).
Michael Reissig
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Global Results for Weakly Dispersive KP-II Equations on the Cylinder. [PDF]
Arch Ration Mech AnalHerr S, Schippa R, Tzvetkov N. Global results for weakly dispersive KP-II equations on the cylinder. 2025.We consider the dispersion-generalized KP-II equation on a partially periodic domain in the weakly dispersive regime.
Herr S, Schippa R, Tzvetkov N.
europepmc +2 more sources
Incidence and reflection of internal waves and wave-induced currents at a jump in buoyancy frequency [PDF]
Nonlinear Processes in Geophysics, 2015 Weakly nonlinear internal gravity waves are treated in a two-layer fluid with a set of nonlinear Schrodinger equations. The layers have a sharp interface with a jump in buoyancy frequency approximately modeling the tropopause.
J. P. McHugh
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On convergence of approximate solutions to the compressible Euler system [PDF]
, 2023 We consider a sequence of approximate solutions to the compressible Euler system admitting uniform energy bounds and/or satisfying the relevant field equations modulo an error vanishing in the asymptotic limit.
Feireisl, Eduard, Hofmanová, Martina
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Rheological Properties of Hyaluronic Acid Diluted Solutions as Components of Cosmetics [PDF]
, 2022 Rheological measurements were carried out on dilute aqueous solutions of high (HMW-HA, 1150 kDa) and low molecular eight hyaluronic acids (LMW-HA, 8 kDa) along with their mixtures to determine the relationship between the viscosity and concentration of ...
Ozturk, Serhat +5 more
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Weakly stratified laminar flow past normal flat plates [PDF]
, 2002 Numerical computations of the steady, two-dimensional, incompressible, uniform velocity but stably stratified flow past a normal flat plate (of unit half-width) in a channel are presented.
Castro, I. P.
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Representation of solutions and regularity properties for weakly hyperbolic systems [PDF]
, 2006 Regularity properties of generic hyperbolic systems with diagonalizable principal part will be established in LP and other function spaces. Sharp regularity of solutions will be discussed.
Kamotski, Ilia, Ruzhansky, Michael
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