Search Results - "CONTI, MONICA"

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    Mathematical analysis of a phase-field model of brain cancers with chemotherapy and antiangiogenic therapy effects by Conti, Monica, Gatti, Stefania, Miranville, Alain

    Published in AIMS mathematics (01-01-2022)
    “…Our aim in this paper is to study a mathematical model for brain cancers with chemotherapy and antiangiogenic therapy effects. We prove the existence and…”
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    Journal Article
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    Reaction-diffusion with memory in the minimal state framework by CONTI, MONICA, MARCHINI, ELSA M., PATA, VITTORINO

    “…We consider the integrodifferential equation ${\partial }_{\mathrm{t}}\mathrm{u}\text{\hspace{0.17em}}-\mathrm{\Delta }\mathrm{u}-{\int }_{0}^{\mathrm{\infty…”
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    Journal Article
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    Exponential decay of a first order linear Volterra equation by Conti, Monica, Dell'Oro, Filippo, Pata, Vittorino

    Published in Mathematics in engineering (01-01-2020)
    “…We consider the linear Volterra equation of the first order in time $$\dot u(t)+\int_0^t g(s)A u(t-s) d s=0$$ where $A$ is a positive bounded operator on a…”
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    Journal Article
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    Global minimizers of coexistence for competing species by Conti, Monica, Felli, Veronica

    Published in Journal of the London Mathematical Society (01-06-2011)
    “…A class of variational models describing ecological systems of k species competing for the same resources is investigated. The occurrence of coexistence in…”
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    Journal Article
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    Asymptotic structure of the attractor for processes on time-dependent spaces by Conti, Monica, Pata, Vittorino

    “…We compare the asymptotic structure of the time-dependent attractor At generated by the partial differential equation εutt+αut−Δu+f(u)=g, where the positive…”
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    Journal Article
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    The MGT-Fourier model in the supercritical case by Conti, Monica, Liverani, Lorenzo, Pata, Vittorino

    Published in Journal of Differential Equations (15-11-2021)
    “…We address the energy transfer in the differential system{uttt+αutt−βΔut−γΔu=−ηΔθθt−κΔθ=ηΔutt+αηΔut made by a Moore-Gibson-Thompson equation in the…”
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    Journal Article
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    On the time-dependent Cattaneo law in space dimension one by Conti, Monica, Pata, Vittorino

    Published in Applied mathematics and computation (15-05-2015)
    “…We consider the one-dimensional wave equationεutt-uxx+[1+εf′(u)]ut+f(u)=hwhere ε=ε(t) is a decreasing function vanishing at infinity, providing a model for…”
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    Journal Article
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    Some unexplored questions arising in linear viscoelasticity by Conti, Monica, Dell'Oro, Filippo, Pata, Vittorino

    Published in Journal of functional analysis (15-05-2022)
    “…We consider the abstract integrodifferential equationu¨(t)+A[u(t)+∫0∞μ(s)[u(t)−u(t−s)]ds]=0 modeling the dynamics of linearly viscoelastic solids. The equation…”
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    Journal Article
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    Infinitely many solutions to fourth order superlinear periodic problems by Conti, Monica, Terracini, Susanna, Verzini, Gianmaria

    “…We present a new min--max approach to the search of multiple T--periodic solutions to a class of fourth order equations \[u^{iv}(t)-c…”
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    Journal Article
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    Attractors for processes on time-dependent spaces. Applications to wave equations by Conti, Monica, Pata, Vittorino, Temam, Roger

    Published in Journal of Differential Equations (15-09-2013)
    “…For a process U(t,τ):Xτ→Xt acting on a one-parameter family of normed spaces, we present a notion of time-dependent attractor based only on the minimality with…”
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    Journal Article
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    General decay properties of abstract linear viscoelasticity by Conti, Monica, Pata, Vittorino

    “…We consider a linear Volterra integro-differential equation of hyperbolic type, which can be viewed as an abstract version of the equation ∂ tt u ( t ) - Δ u (…”
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    Journal Article
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    4D approach for urban tunnelling in a BIM environment by Trani, Marco, Longo, Silvia, Conti, Monica

    Published in Applied geomatics (01-06-2023)
    “…In underground works, one topic that must be carefully studied and analysed is how to deal with interferences induced on buildings by the excavation machine…”
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    Journal Article
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    Phase-field crystal equation with memory by Conti, Monica, Giorgini, Andrea, Grasselli, Maurizio

    “…Phase-field crystal models are used to describe several pattern formation phenomena like crystallization of liquid, diffusion defects and glass formation. The…”
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    Journal Article
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    Mathematical analysis of a model for proliferative-to-invasive transition of hypoxic glioma cells by Conti, Monica, Gatti, Stefania, Miranville, Alain

    Published in Nonlinear analysis (01-12-2019)
    “…Our aim in this paper is to study a mathematical model for the proliferative-to-invasive transition of hypoxic glioma cells. We prove the existence and…”
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    Journal Article
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    A MODEL OF VISCOELASTICITY WITH TIME-DEPENDENT MEMORY KERNELS by Conti, Monica, Danese, Valeria, Giorgi, Claudio, Pata, Vittorino

    Published in American journal of mathematics (01-04-2018)
    “…We consider the model equation arising in the theory of viscoelasticity ∂ t t u − h t ( 0 ) Δ u − ∫ 0 ∞ h t ' ( s ) Δ u ( t − s ) d s + f ( u ) = g . Here, the…”
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    Journal Article
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    Current trends in capillary isoelectric focusing of proteins by Righetti, Pier Giorgio, Gelfi, Cecilia, Conti, Monica

    “…Isoelectric focusing (IEF) in thin capillaries is reviewed here. After an introduction on the genesis and chemistry of the carrier ampholyte buffers, different…”
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    Book Review Journal Article
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    Averaging of equations of viscoelasticity with singularly oscillating external forces by Chepyzhov, Vladimir V., Conti, Monica, Pata, Vittorino

    “…Given ρ∈[0,1], we consider for ε∈(0,1] the nonautonomous viscoelastic equation with a singularly oscillating external…”
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    Journal Article