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Discrete & Continuous Dynamical Systems - B

September 2014 , Volume 19 , Issue 7

Special issue dedicated to Mauro Fabrizio's 70th birthday

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Foreword
Sandra Carillo, Claudio Giorgi and Maurizio Grasselli
2014, 19(7): i-i doi: 10.3934/dcdsb.2014.19.7i +[Abstract](737) +[PDF](74.7KB)
Viscoelastic fluids: Free energies, differential problems and asymptotic behaviour
Giovambattista Amendola, Sandra Carillo, John Murrough Golden and Adele Manes
2014, 19(7): 1815-1835 doi: 10.3934/dcdsb.2014.19.1815 +[Abstract](1004) +[PDF](494.6KB)
Effect of intracellular diffusion on current--voltage curves in potassium channels
Daniele Andreucci, Dario Bellaveglia, Emilio N.M. Cirillo and Silvia Marconi
2014, 19(7): 1837-1853 doi: 10.3934/dcdsb.2014.19.1837 +[Abstract](949) +[PDF](408.0KB)
Mixed norms, functional Inequalities, and Hamilton-Jacobi equations
Antonio Avantaggiati, Paola Loreti and Cristina Pocci
2014, 19(7): 1855-1867 doi: 10.3934/dcdsb.2014.19.1855 +[Abstract](924) +[PDF](374.8KB)
On the multiscale modeling of vehicular traffic: From kinetic to hydrodynamics
Nicola Bellomo, Abdelghani Bellouquid, Juanjo Nieto and Juan Soler
2014, 19(7): 1869-1888 doi: 10.3934/dcdsb.2014.19.1869 +[Abstract](1136) +[PDF](401.9KB)
Mathematical modeling of phase transition and separation in fluids: A unified approach
Alessia Berti, Claudio Giorgi and Angelo Morro
2014, 19(7): 1889-1909 doi: 10.3934/dcdsb.2014.19.1889 +[Abstract](883) +[PDF](904.2KB)
Discontinuity waves as tipping points: Applications to biological & sociological systems
John Bissell and Brian Straughan
2014, 19(7): 1911-1934 doi: 10.3934/dcdsb.2014.19.1911 +[Abstract](1250) +[PDF](685.0KB)
Singular limit of an integrodifferential system related to the entropy balance
Elena Bonetti, Pierluigi Colli and Gianni Gilardi
2014, 19(7): 1935-1953 doi: 10.3934/dcdsb.2014.19.1935 +[Abstract](873) +[PDF](446.6KB)
An existence criterion for the $\mathcal{PT}$-symmetric phase transition
Emanuela Caliceti and Sandro Graffi
2014, 19(7): 1955-1967 doi: 10.3934/dcdsb.2014.19.1955 +[Abstract](785) +[PDF](443.2KB)
Uniform weighted estimates on pre-fractal domains
Raffaela Capitanelli and Maria Agostina Vivaldi
2014, 19(7): 1969-1985 doi: 10.3934/dcdsb.2014.19.1969 +[Abstract](940) +[PDF](2379.2KB)
Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects
Marcelo M. Cavalcanti, Valéria N. Domingos Cavalcanti, Irena Lasiecka and Flávio A. Falcão Nascimento
2014, 19(7): 1987-2011 doi: 10.3934/dcdsb.2014.19.1987 +[Abstract](988) +[PDF](468.7KB)
On a generalized Cahn-Hilliard equation with biological applications
Laurence Cherfils, Alain Miranville and Sergey Zelik
2014, 19(7): 2013-2026 doi: 10.3934/dcdsb.2014.19.2013 +[Abstract](1048) +[PDF](420.5KB)
Spatial behavior in the vibrating thermoviscoelastic porous materials
Stan Chiriţă
2014, 19(7): 2027-2038 doi: 10.3934/dcdsb.2014.19.2027 +[Abstract](793) +[PDF](322.2KB)
Asymptotic effects of boundary perturbations in excitable systems
Monica De Angelis and Pasquale Renno
2014, 19(7): 2039-2045 doi: 10.3934/dcdsb.2014.19.2039 +[Abstract](741) +[PDF](341.8KB)
Singular parabolic problems with possibly changing sign data
Ida De Bonis and Daniela Giachetti
2014, 19(7): 2047-2064 doi: 10.3934/dcdsb.2014.19.2047 +[Abstract](1006) +[PDF](427.7KB)
The state of fractional hereditary materials (FHM)
Luca Deseri, Massiliano Zingales and Pietro Pollaci
2014, 19(7): 2065-2089 doi: 10.3934/dcdsb.2014.19.2065 +[Abstract](954) +[PDF](1974.2KB)
Fatigue accumulation in a thermo-visco-elastoplastic plate
Michela Eleuteri, Jana Kopfová and Pavel Krejčí
2014, 19(7): 2091-2109 doi: 10.3934/dcdsb.2014.19.2091 +[Abstract](1061) +[PDF](517.2KB)
Uniqueness and stability results for non-linear Johnson-Segalman viscoelasticity and related models
Franca Franchi, Barbara Lazzari and Roberta Nibbi
2014, 19(7): 2111-2132 doi: 10.3934/dcdsb.2014.19.2111 +[Abstract](963) +[PDF](427.5KB)
On the Green-Naghdi Type III heat conduction model
Claudio Giorgi, Diego Grandi and Vittorino Pata
2014, 19(7): 2133-2143 doi: 10.3934/dcdsb.2014.19.2133 +[Abstract](896) +[PDF](747.6KB)
Nonlinear free fall of one-dimensional rigid bodies in hyperviscous fluids
Giulio G. Giusteri, Alfredo Marzocchi and Alessandro Musesti
2014, 19(7): 2145-2157 doi: 10.3934/dcdsb.2014.19.2145 +[Abstract](917) +[PDF](390.1KB)
Inverse problems for singular differential-operator equations with higher order polar singularities
Mohammed Al Horani and Angelo Favini
2014, 19(7): 2159-2168 doi: 10.3934/dcdsb.2014.19.2159 +[Abstract](891) +[PDF](365.9KB)
Strain gradient theory of porous solids with initial stresses and initial heat flux
Dorin Ieşan
2014, 19(7): 2169-2187 doi: 10.3934/dcdsb.2014.19.2169 +[Abstract](1023) +[PDF](366.6KB)
Second-sound phenomena in inviscid, thermally relaxing gases
Pedro M. Jordan
2014, 19(7): 2189-2205 doi: 10.3934/dcdsb.2014.19.2189 +[Abstract](876) +[PDF](550.1KB)
Going to new lengths: Studying the Navier--Stokes-$\alpha\beta$ equations using the strained spiral vortex model
Tae-Yeon Kim, Xuemei Chen, John E. Dolbow and Eliot Fried
2014, 19(7): 2207-2225 doi: 10.3934/dcdsb.2014.19.2207 +[Abstract](1085) +[PDF](766.6KB)
Analysis and simulation for an isotropic phase-field model describing grain growth
Maciek D. Korzec and Hao Wu
2014, 19(7): 2227-2246 doi: 10.3934/dcdsb.2014.19.2227 +[Abstract](888) +[PDF](839.7KB)
Identification problems related to cylindrical dielectrics **in presence of polarization**
Alfredo Lorenzi
2014, 19(7): 2247-2265 doi: 10.3934/dcdsb.2014.19.2247 +[Abstract](786) +[PDF](404.6KB)
On some properties of the Mittag-Leffler function $\mathbf{E_\alpha(-t^\alpha)}$, completely monotone for $\mathbf{t> 0}$ with $\mathbf{0<\alpha<1}$
Francesco Mainardi
2014, 19(7): 2267-2278 doi: 10.3934/dcdsb.2014.19.2267 +[Abstract](1338) +[PDF](1144.1KB)
Onset of convection in rotating porous layers via a new approach
Salvatore Rionero
2014, 19(7): 2279-2296 doi: 10.3934/dcdsb.2014.19.2279 +[Abstract](688) +[PDF](520.4KB)
q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics
Colin Rogers and Tommaso Ruggeri
2014, 19(7): 2297-2312 doi: 10.3934/dcdsb.2014.19.2297 +[Abstract](989) +[PDF](415.5KB)
Thermomechanics of hydrogen storage in metallic hydrides: Modeling and analysis
Tomáš Roubíček and Giuseppe Tomassetti
2014, 19(7): 2313-2333 doi: 10.3934/dcdsb.2014.19.2313 +[Abstract](905) +[PDF](561.9KB)
On the theory of viscoelasticity for materials with double porosity
Merab Svanadze
2014, 19(7): 2335-2352 doi: 10.3934/dcdsb.2014.19.2335 +[Abstract](964) +[PDF](365.6KB)
Mathematical study of the small oscillations of a floating body in a bounded tank containing an incompressible viscous liquid
Doretta Vivona and Pierre Capodanno
2014, 19(7): 2353-2364 doi: 10.3934/dcdsb.2014.19.2353 +[Abstract](720) +[PDF](405.8KB)

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