Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection [PDF]
Mathematical Methods in the Applied Sciences, 2020 We develop a theory for double diffusive convection in a double porosity material along the Brinkman scheme. The Soret effect is included whereby a temperature gradient may directly influence salt concentration. The boundary conditions on the temperature and salt fields are of general Robin type.
Roberta Nibbi, Brian Straughan
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Continuous dependence for backward parabolic operators with Log-Lipschitz coefficients [PDF]
Mathematische Annalen, 2009 We prove continuous dependence on Cauchy data for a backward parabolic operator whose coefficients are Log-Lipschitz continuous in time.
Daniele Del Santo +2 more
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On continuous dependence on coefficients of the Brinkman–Forchheimer equations
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Çelebi, Ahmet Okay +2 more
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Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non-flat interfaces [PDF]
Inverse Problems, 2014 We consider the inverse problem of determining the Lamé moduli for a piecewise constant elasticity tensor ${\mathbb C}= \sum_{j} {\mathbb C}_j χ_{D_j}$, where $\{D_j\}$ is a known finite partition of the body $Ω$, from the Dirichlet-to-Neumann map. We prove that Lipschitz stability estimates can be derived under $C^{1,α}$ regularity assumptions on the ...
Antonino Morassi +2 more
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Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Electronic Communications in Probability, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Continuous Dependence on the Coefficients I [PDF]
, 2021 AbstractThe power of the functional analytic framework for evolutionary equations lies in its variety. In fact, as we have outlined in earlier chapters, it is possible to formulate many differential equations in the form $$\displaystyle \left (\partial _{t}M(\partial _{t})+A\right )U=F. $$
Christian Seifert +2 more
openaire +2 more sources
An approach with Lagrange identity of the mixed problem in theory of strain gradient thermoelasticity [PDF]
ITM Web of Conferences, 2020 In our paper we first define the mixed initial-boundary values problem in the theory of strain gradient thermoelasticity. With the help of an identity of Lagrange’s type, we then prove some theorems regarding the uniqueness of the solution of this mixed ...
Marin Marin
doaj +1 more source
Accounting for precipitation asymmetry in a multiplicative random cascade disaggregation model [PDF]
Hydrology and Earth System Sciences, 2023 Analytical multiplicative random cascades (MRCs) are widely used for the temporal disaggregation of coarse-resolution precipitation time series. This class of models applies scaling models to represent the dependence of the cascade generator on the ...
K. Maloku, B. Hingray, G. Evin
doaj +1 more source
12. Continuous dependence on the coefficients for a class of non-autonomous evolutionary equations [PDF]
, 2019 Marcus Waurick
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