Edit Profile (opens in new tab) Bianchini, Stefano Co-Author Distance Author ID: bianchini.stefano Published as: Bianchini, Stefano; Bianchini, S. Homepage: https://people.sissa.it/~bianchin/ External Links: MGP · Wikidata · dblp · GND · IdRef Videos: carmin.tv Awards: EMS Prize (2004) Documents Indexed: 92 Publications since 1997, including 1 Book and 3 Additional arXiv Preprints 5 Contributions as Editor Reviewing Activity: 1 Review Co-Authors: 35 Co-Authors with 74 Joint Publications 758 Co-Co-Authors all top 5 Co-Authors 22 single-authored 9 Alberti, Giovanni 9 Crippa, Gianluca 8 Bressan, Alberto 7 Ancona, Fabio 7 Bonicatto, Paolo 7 Spinolo, Laura V. 6 Colombo, Rinaldo M. 5 Caravenna, Laura 5 Marconi, Elio 4 De Lellis, Camillo 4 Marson, Andrea 4 Modena, Stefano 3 Gloyer, Matteo 3 Mariconda, Carlo 3 Tonon, Daniela 3 Yu, Lei 2 Cavalletti, Fabio 2 Cerf, Raphaël 2 Daneri, Sara 2 Hanouzet, Bernard 2 Leccese, Giacomo Maria 2 Mascia, Corrado 2 Monti, Francesca 2 Natalini, Roberto 2 Nguyen, Khai T. 1 Bardelloni, Mauro 1 Brancolini, Alessio 1 Chiri, Maria Teresa 1 Colombo, Maria 1 Dabrowski, Alexander 1 De Nitti, Nicola 1 Dutta, Prerona 1 Montanari, Annamaria 1 Robyr, Roger 1 Zizza, Martina all top 5 Serials 7 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Analysis and Applications 6 Discrete and Continuous Dynamical Systems 5 SIAM Journal on Mathematical Analysis 4 Communications in Mathematical Physics 4 Journal of Differential Equations 4 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 3 Communications on Pure and Applied Mathematics 3 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 3 Journal of Mathematical Sciences (New York) 3 Communications on Pure and Applied Analysis 2 Communications in Partial Differential Equations 2 Rivista di Matematica della Università di Parma. New Series 2 AIMS Series on Applied Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Differential and Integral Equations 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 NoDEA. Nonlinear Differential Equations and Applications 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 Lecture Notes of the Unione Matematica Italiana 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models all top 5 Fields 74 Partial differential equations (35-XX) 16 Measure and integration (28-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 6 Real functions (26-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Functional analysis (46-XX) 4 Systems theory; control (93-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 955 times in 680 Documents Cited by ▼ Year ▼ Vanishing viscosity solutions of nonlinear hyperbolic systems. Zbl 1082.35095 Bianchini, Stefano; Bressan, Alberto 223 2005 Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. Zbl 1152.35009 Bianchini, Stefano; Hanouzet, Bernard; Natalini, Roberto 100 2007 Structure of level sets and Sard-type properties of Lipschitz maps. Zbl 1295.26016 Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca 49 2013 A uniqueness result for the continuity equation in two dimensions. Zbl 1286.35006 Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca 44 2014 The Monge problem for distance cost in geodesic spaces. Zbl 1275.49080 Bianchini, Stefano; Cavalletti, Fabio 35 2013 A uniqueness result for the decomposition of vector fields in \(\mathbb{R}^d\). Zbl 1435.35121 Bianchini, Stefano; Bonicatto, Paolo 30 2020 On the stability of the standard Riemann semigroup. Zbl 1026.35073 Bianchini, Stefano; Colombo, Rinaldo M. 26 2002 On the extremality, uniqueness and optimality of transference plans. Zbl 1207.90015 Bianchini, Stefano; Caravenna, Laura 26 2009 Hyperbolic limit of the Jin-Xin relaxation model. Zbl 1100.35063 Bianchini, Stefano 19 2006 Stability of \(L^\infty\) solutions for hyperbolic systems with coinciding shocks and rarefactions. Zbl 1009.35052 Bianchini, Stefano 18 2001 On the Riemann problem for non-conservative hyperbolic systems. Zbl 1023.35066 Bianchini, Stefano 18 2003 On the structure of \({L^\infty}\)-entropy solutions to scalar conservation laws in one-space dimension. Zbl 1388.35126 Bianchini, S.; Marconi, E. 15 2017 On the shift differentiability of the flow generated by a hyperbolic system of conservation laws. Zbl 1018.35051 Bianchini, Stefano 14 2000 The semigroup generated by a Temple class system with non-convex flux function. Zbl 1043.35110 Bianchini, Stefano 14 2000 Interaction estimates and Glimm functional for general hyperbolic systems. Zbl 1023.35070 Bianchini, Stefano 14 2003 On the \(L^p\)-differentiability of certain classes of functions. Zbl 1296.26042 Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca 14 2014 An estimate on the flow generated by monotone operators. Zbl 1242.35040 Bianchini, Stefano; Gloyer, Matteo 14 2011 Eulerian, Lagrangian and Broad continuous solutions to a balance law with non-convex flux. I. Zbl 1368.35176 Alberti, G.; Bianchini, S.; Caravenna, L. 12 2016 SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension. Zbl 1261.35089 Bianchini, Stefano; Caravenna, Laura 12 2012 On optimality of \(c\)-cyclically monotone transference plans. Zbl 1204.49012 Bianchini, Stefano; Caravenna, Laura 11 2010 Steady nearly incompressible vector fields in two-dimension: chain rule and renormalization. Zbl 1359.35145 Bianchini, S.; Gusev, N. A. 11 2016 Optimality of integrability estimates for advection-diffusion equations. Zbl 1373.35155 Bianchini, Stefano; Colombo, Maria; Crippa, Gianluca; Spinolo, Laura V. 11 2017 On the Euler-Lagrange equation for a variational problem: The general case. II. Zbl 1221.49035 Bianchini, Stefano; Gloyer, Matteo 10 2010 The boundary Riemann solver coming from the real vanishing viscosity approximation. Zbl 1171.35072 Bianchini, Stefano; Spinolo, Laura V. 10 2009 Renormalization for autonomous nearly incompressible BV vector fields in two dimensions. Zbl 1343.35060 Bianchini, Stefano; Bonicatto, Paolo; Gusev, Nikolay A. 10 2016 On the concentration of entropy for scalar conservation laws. Zbl 1339.35182 Marconi, Elio; Bianchini, Stefano 10 2016 A Glimm type functional for a special Jin-Xin relaxation model. Zbl 0981.35037 Bianchini, Stefano 9 2001 BV solutions of the semidiscrete upwind scheme. Zbl 1024.65087 Bianchini, Stefano 9 2003 On Bressan’s conjecture on mixing properties of vector fields. Zbl 1108.35028 Bianchini, Stefano 8 2006 SBV regularity for Hamilton-Jacobi equations in \(\mathbb R^n\). Zbl 1223.49039 Bianchini, Stefano; De Lellis, Camillo; Robyr, Roger 8 2011 On Sudakov’s type decomposition of transference plans with norm costs. Zbl 1454.49002 Bianchini, Stefano; Daneri, Sara 8 2018 On a Lyapunov functional relating shortening curves and viscous conservation laws. Zbl 1050.35005 Bianchini, Stefano; Bressan, Alberto 7 2002 On the Euler-Lagrange equation for a variational problem. Zbl 1123.49001 Bianchini, Stefano 7 2007 Vanishing viscosity solutions of hyperbolic systems of conservation laws with boundary. Zbl 1345.35060 Ancona, Fabio; Bianchini, Stefano 7 2006 SBV regularity for Hamilton–Jacobi equations with Hamiltonian depending on \((t, x)\). Zbl 1258.35058 Bianchini, Stefano; Tonon, Daniela 7 2012 Quadratic interaction functional for general systems of conservation laws. Zbl 1327.35243 Bianchini, Stefano; Modena, Stefano 7 2015 On a quadratic functional for scalar conservation laws. Zbl 1304.35416 Bianchini, Stefano; Modena, Stefano 7 2014 BV solutions for a class of viscous hyperbolic systems. Zbl 0988.35109 Bianchini, Stefano; Bressan, Alberto 6 2000 A center manifold technique for tracing viscous waves. Zbl 1017.35071 Bianchini, Stefano; Bressan, Alberto 5 2002 \(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data. Zbl 1213.35301 Bianchini, Stefano; Colombo, Rinaldo M.; Monti, Francesca 5 2010 Invariant manifolds for a singular ordinary differential equation. Zbl 1220.34065 Bianchini, Stefano; Spinolo, Laura V. 5 2011 Quadratic interaction functional for systems of conservation laws: a case study. Zbl 1308.35135 Bianchini, Stefano; Modena, Stefano 5 2014 Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300 5 2008 A decomposition theorem for \(BV\) functions. Zbl 1229.26023 Bianchini, Stefano; Tonon, Daniela 5 2011 Lagrangian representation between linear transport and scalar conversation laws. Zbl 1405.35109 Bianchini, Stefano; Bonicatto, Paolo; Marconi, Elio 5 2018 A case study in vanishing viscosity. Zbl 0983.35083 Bianchini, Stefano; Bressan, Alberto 4 2001 Structure of entropy solutions to general scalar conservation laws in one space dimension. Zbl 1316.35186 Bianchini, Stefano; Yu, Lei 4 2015 On the Euler-Lagrange equation for a variational problem. Zbl 1144.49015 Bianchini, Stefano 3 2008 SBV-like regularity for Hamilton-Jacobi equations with a convex Hamiltonian. Zbl 1236.35018 Bianchini, Stefano; Tonon, Daniela 3 2012 SBV-like regularity for general hyperbolic systems of conservation laws in one space dimension. Zbl 1270.35306 Bianchini, Stefano; Yu, Lei 3 2012 Global structure of admissible BV solutions to piecewise genuinely nonlinear, strictly hyperbolic conservation laws in one space dimension. Zbl 1350.35113 Bianchini, Stefano; Yu, Lei 3 2014 Exact integrability conditions for cotangent vector fields. Zbl 1530.35242 Bianchini, Stefano 3 2024 Two dimensional zonoids and Chebyshev measures. Zbl 0885.28007 Bianchini, Stefano; Cerf, Raphaël; Mariconda, Carlo 2 1997 Two-dimensional transport equation with Hamiltonian vector fields. Zbl 1190.35054 Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca 2 2009 HCDTE lecture notes. Part II. Nonlinear Hyperbolic PDEs, dispersive and transport equations. Lecture notes of some of the courses given during the trimester HCDTE, Trieste, Italy, May 16 – July 22, 2011. Zbl 1307.35006 2 2013 Estimates on path functionals over Wasserstein spaces. Zbl 1210.49045 Bianchini, S.; Brancolini, A. 2 2010 Convergence rate of the Glimm scheme. Zbl 1347.35163 Modena, Stefano; Bianchini, Stefano 2 2016 SBV regularity for scalar conservation laws. Zbl 1302.35245 Bianchini, Stefano 2 2012 The Monge problem in geodesic spaces. Zbl 1252.49073 Bianchini, Stefano; Cavalletti, Fabio 2 2011 Divergence-free vector fields in \(\mathbb R^2\). Zbl 1304.35214 Alberti, G.; Bianchini, S.; Crippa, G. 2 2010 SBV regularity of genuinely nonlinear hyperbolic systems of conservation laws in one space dimension. Zbl 1265.35211 Bianchini, Stefano 2 2012 On the sticky particle solutions to the multi-dimensional pressureless Euler equations. Zbl 1542.35290 Bianchini, Stefano; Daneri, Sara 2 2023 Untangling of trajectories for non-smooth vector fields and Bressan’s compactness conjecture. Zbl 1459.35005 Bianchini, Stefano; Bonicatto, Paolo 2 2020 A note on singular limits to hyperbolic systems of conservation laws. Zbl 1032.35128 Bianchini, Stefano 1 2003 A connection between viscous profiles and singular ODEs. Zbl 1211.35066 Bianchini, Stefano; Spinolo, Laura V. 1 2009 Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems. Zbl 1190.35049 Bianchini, Stefano; Spinolo, Laura V. 1 2009 An overview on the approximation of boundary Riemann problems through physical viscosity. Zbl 1347.35158 Bianchini, Stefano; Spinolo, Laura V. 1 2016 Dissipative hyperbolic systems: the asymptotic behavior of solutions. Zbl 1141.35411 Bianchini, S.; Hanouzet, B.; Natalini, R. 1 2008 \(L^\infty\) solutions for \(2\times 2\) systems of conservation laws. Zbl 1223.35225 Bianchini, S.; Colombo, R. M.; Monti, F. 1 2010 The vector measures whose range is strictly convex. Zbl 0933.46038 Bianchini, Stefano; Mariconda, C. 1 1999 Transport rays and applications to Hamilton-Jacobi equations. Zbl 1252.35123 Bianchini, Stefano; Gloyer, Matteo 1 2011 Examples and conjectures on the regularity of solutions to balance laws. Zbl 1517.35134 Ancona, Fabio; Bianchini, Stefano; Bressan, Alberto; Colombo, Rinaldo M.; Nguyen, Khai T. 1 2023 Differentiability in measure of the flow associated with a nearly incompressible BV vector field. Zbl 1506.35029 Bianchini, Stefano; De Nitti, Nicola 1 2022 Metric entropy for Hamilton-Jacobi equations with uniformly directionally convex Hamiltonian. Zbl 1498.49045 Bianchini, Stefano; Dutta, Prerona; Nguyen, Khai T. 1 2022 Failure of the chain rule in the non steady two-dimensional setting. Zbl 1405.26013 Bianchini, Stefano; Bonicatto, Paolo 1 2018 Characteristic boundary layers for mixed hyperbolic-parabolic systems in one space dimension and applications to the Navier-Stokes and MHD equations. Zbl 1452.35143 Bianchini, Stefano; Spinolo, Laura V. 1 2020 Lagrangian representations for linear and nonlinear transport. Zbl 1460.90027 Bianchini, S.; Bonicatto, P.; Marconi, E. 1 2021 Forward untangling and applications to the uniqueness problem for the continuity equation. Zbl 1465.35111 Bianchini, Stefano; Bonicatto, Paolo 1 2021 Exact integrability conditions for cotangent vector fields. Zbl 1530.35242 Bianchini, Stefano 3 2024 On the sticky particle solutions to the multi-dimensional pressureless Euler equations. Zbl 1542.35290 Bianchini, Stefano; Daneri, Sara 2 2023 Examples and conjectures on the regularity of solutions to balance laws. Zbl 1517.35134 Ancona, Fabio; Bianchini, Stefano; Bressan, Alberto; Colombo, Rinaldo M.; Nguyen, Khai T. 1 2023 Differentiability in measure of the flow associated with a nearly incompressible BV vector field. Zbl 1506.35029 Bianchini, Stefano; De Nitti, Nicola 1 2022 Metric entropy for Hamilton-Jacobi equations with uniformly directionally convex Hamiltonian. Zbl 1498.49045 Bianchini, Stefano; Dutta, Prerona; Nguyen, Khai T. 1 2022 Lagrangian representations for linear and nonlinear transport. Zbl 1460.90027 Bianchini, S.; Bonicatto, P.; Marconi, E. 1 2021 Forward untangling and applications to the uniqueness problem for the continuity equation. Zbl 1465.35111 Bianchini, Stefano; Bonicatto, Paolo 1 2021 A uniqueness result for the decomposition of vector fields in \(\mathbb{R}^d\). Zbl 1435.35121 Bianchini, Stefano; Bonicatto, Paolo 30 2020 Untangling of trajectories for non-smooth vector fields and Bressan’s compactness conjecture. Zbl 1459.35005 Bianchini, Stefano; Bonicatto, Paolo 2 2020 Characteristic boundary layers for mixed hyperbolic-parabolic systems in one space dimension and applications to the Navier-Stokes and MHD equations. Zbl 1452.35143 Bianchini, Stefano; Spinolo, Laura V. 1 2020 On Sudakov’s type decomposition of transference plans with norm costs. Zbl 1454.49002 Bianchini, Stefano; Daneri, Sara 8 2018 Lagrangian representation between linear transport and scalar conversation laws. Zbl 1405.35109 Bianchini, Stefano; Bonicatto, Paolo; Marconi, Elio 5 2018 Failure of the chain rule in the non steady two-dimensional setting. Zbl 1405.26013 Bianchini, Stefano; Bonicatto, Paolo 1 2018 On the structure of \({L^\infty}\)-entropy solutions to scalar conservation laws in one-space dimension. Zbl 1388.35126 Bianchini, S.; Marconi, E. 15 2017 Optimality of integrability estimates for advection-diffusion equations. Zbl 1373.35155 Bianchini, Stefano; Colombo, Maria; Crippa, Gianluca; Spinolo, Laura V. 11 2017 Eulerian, Lagrangian and Broad continuous solutions to a balance law with non-convex flux. I. Zbl 1368.35176 Alberti, G.; Bianchini, S.; Caravenna, L. 12 2016 Steady nearly incompressible vector fields in two-dimension: chain rule and renormalization. Zbl 1359.35145 Bianchini, S.; Gusev, N. A. 11 2016 Renormalization for autonomous nearly incompressible BV vector fields in two dimensions. Zbl 1343.35060 Bianchini, Stefano; Bonicatto, Paolo; Gusev, Nikolay A. 10 2016 On the concentration of entropy for scalar conservation laws. Zbl 1339.35182 Marconi, Elio; Bianchini, Stefano 10 2016 Convergence rate of the Glimm scheme. Zbl 1347.35163 Modena, Stefano; Bianchini, Stefano 2 2016 An overview on the approximation of boundary Riemann problems through physical viscosity. Zbl 1347.35158 Bianchini, Stefano; Spinolo, Laura V. 1 2016 Quadratic interaction functional for general systems of conservation laws. Zbl 1327.35243 Bianchini, Stefano; Modena, Stefano 7 2015 Structure of entropy solutions to general scalar conservation laws in one space dimension. Zbl 1316.35186 Bianchini, Stefano; Yu, Lei 4 2015 A uniqueness result for the continuity equation in two dimensions. Zbl 1286.35006 Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca 44 2014 On the \(L^p\)-differentiability of certain classes of functions. Zbl 1296.26042 Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca 14 2014 On a quadratic functional for scalar conservation laws. Zbl 1304.35416 Bianchini, Stefano; Modena, Stefano 7 2014 Quadratic interaction functional for systems of conservation laws: a case study. Zbl 1308.35135 Bianchini, Stefano; Modena, Stefano 5 2014 Global structure of admissible BV solutions to piecewise genuinely nonlinear, strictly hyperbolic conservation laws in one space dimension. Zbl 1350.35113 Bianchini, Stefano; Yu, Lei 3 2014 Structure of level sets and Sard-type properties of Lipschitz maps. Zbl 1295.26016 Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca 49 2013 The Monge problem for distance cost in geodesic spaces. Zbl 1275.49080 Bianchini, Stefano; Cavalletti, Fabio 35 2013 HCDTE lecture notes. Part II. Nonlinear Hyperbolic PDEs, dispersive and transport equations. Lecture notes of some of the courses given during the trimester HCDTE, Trieste, Italy, May 16 – July 22, 2011. Zbl 1307.35006 2 2013 SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension. Zbl 1261.35089 Bianchini, Stefano; Caravenna, Laura 12 2012 SBV regularity for Hamilton–Jacobi equations with Hamiltonian depending on \((t, x)\). Zbl 1258.35058 Bianchini, Stefano; Tonon, Daniela 7 2012 SBV-like regularity for Hamilton-Jacobi equations with a convex Hamiltonian. Zbl 1236.35018 Bianchini, Stefano; Tonon, Daniela 3 2012 SBV-like regularity for general hyperbolic systems of conservation laws in one space dimension. Zbl 1270.35306 Bianchini, Stefano; Yu, Lei 3 2012 SBV regularity for scalar conservation laws. Zbl 1302.35245 Bianchini, Stefano 2 2012 SBV regularity of genuinely nonlinear hyperbolic systems of conservation laws in one space dimension. Zbl 1265.35211 Bianchini, Stefano 2 2012 An estimate on the flow generated by monotone operators. Zbl 1242.35040 Bianchini, Stefano; Gloyer, Matteo 14 2011 SBV regularity for Hamilton-Jacobi equations in \(\mathbb R^n\). Zbl 1223.49039 Bianchini, Stefano; De Lellis, Camillo; Robyr, Roger 8 2011 Invariant manifolds for a singular ordinary differential equation. Zbl 1220.34065 Bianchini, Stefano; Spinolo, Laura V. 5 2011 A decomposition theorem for \(BV\) functions. Zbl 1229.26023 Bianchini, Stefano; Tonon, Daniela 5 2011 The Monge problem in geodesic spaces. Zbl 1252.49073 Bianchini, Stefano; Cavalletti, Fabio 2 2011 Transport rays and applications to Hamilton-Jacobi equations. Zbl 1252.35123 Bianchini, Stefano; Gloyer, Matteo 1 2011 On optimality of \(c\)-cyclically monotone transference plans. Zbl 1204.49012 Bianchini, Stefano; Caravenna, Laura 11 2010 On the Euler-Lagrange equation for a variational problem: The general case. II. Zbl 1221.49035 Bianchini, Stefano; Gloyer, Matteo 10 2010 \(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data. Zbl 1213.35301 Bianchini, Stefano; Colombo, Rinaldo M.; Monti, Francesca 5 2010 Estimates on path functionals over Wasserstein spaces. Zbl 1210.49045 Bianchini, S.; Brancolini, A. 2 2010 Divergence-free vector fields in \(\mathbb R^2\). Zbl 1304.35214 Alberti, G.; Bianchini, S.; Crippa, G. 2 2010 \(L^\infty\) solutions for \(2\times 2\) systems of conservation laws. Zbl 1223.35225 Bianchini, S.; Colombo, R. M.; Monti, F. 1 2010 On the extremality, uniqueness and optimality of transference plans. Zbl 1207.90015 Bianchini, Stefano; Caravenna, Laura 26 2009 The boundary Riemann solver coming from the real vanishing viscosity approximation. Zbl 1171.35072 Bianchini, Stefano; Spinolo, Laura V. 10 2009 Two-dimensional transport equation with Hamiltonian vector fields. Zbl 1190.35054 Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca 2 2009 A connection between viscous profiles and singular ODEs. Zbl 1211.35066 Bianchini, Stefano; Spinolo, Laura V. 1 2009 Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems. Zbl 1190.35049 Bianchini, Stefano; Spinolo, Laura V. 1 2009 Transport equations and multi-D hyperbolic conservation laws. Zbl 1131.35300 5 2008 On the Euler-Lagrange equation for a variational problem. Zbl 1144.49015 Bianchini, Stefano 3 2008 Dissipative hyperbolic systems: the asymptotic behavior of solutions. Zbl 1141.35411 Bianchini, S.; Hanouzet, B.; Natalini, R. 1 2008 Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. Zbl 1152.35009 Bianchini, Stefano; Hanouzet, Bernard; Natalini, Roberto 100 2007 On the Euler-Lagrange equation for a variational problem. Zbl 1123.49001 Bianchini, Stefano 7 2007 Hyperbolic limit of the Jin-Xin relaxation model. Zbl 1100.35063 Bianchini, Stefano 19 2006 On Bressan’s conjecture on mixing properties of vector fields. Zbl 1108.35028 Bianchini, Stefano 8 2006 Vanishing viscosity solutions of hyperbolic systems of conservation laws with boundary. Zbl 1345.35060 Ancona, Fabio; Bianchini, Stefano 7 2006 Vanishing viscosity solutions of nonlinear hyperbolic systems. Zbl 1082.35095 Bianchini, Stefano; Bressan, Alberto 223 2005 On the Riemann problem for non-conservative hyperbolic systems. Zbl 1023.35066 Bianchini, Stefano 18 2003 Interaction estimates and Glimm functional for general hyperbolic systems. Zbl 1023.35070 Bianchini, Stefano 14 2003 BV solutions of the semidiscrete upwind scheme. Zbl 1024.65087 Bianchini, Stefano 9 2003 A note on singular limits to hyperbolic systems of conservation laws. Zbl 1032.35128 Bianchini, Stefano 1 2003 On the stability of the standard Riemann semigroup. Zbl 1026.35073 Bianchini, Stefano; Colombo, Rinaldo M. 26 2002 On a Lyapunov functional relating shortening curves and viscous conservation laws. Zbl 1050.35005 Bianchini, Stefano; Bressan, Alberto 7 2002 A center manifold technique for tracing viscous waves. Zbl 1017.35071 Bianchini, Stefano; Bressan, Alberto 5 2002 Stability of \(L^\infty\) solutions for hyperbolic systems with coinciding shocks and rarefactions. Zbl 1009.35052 Bianchini, Stefano 18 2001 A Glimm type functional for a special Jin-Xin relaxation model. Zbl 0981.35037 Bianchini, Stefano 9 2001 A case study in vanishing viscosity. Zbl 0983.35083 Bianchini, Stefano; Bressan, Alberto 4 2001 On the shift differentiability of the flow generated by a hyperbolic system of conservation laws. Zbl 1018.35051 Bianchini, Stefano 14 2000 The semigroup generated by a Temple class system with non-convex flux function. Zbl 1043.35110 Bianchini, Stefano 14 2000 BV solutions for a class of viscous hyperbolic systems. Zbl 0988.35109 Bianchini, Stefano; Bressan, Alberto 6 2000 The vector measures whose range is strictly convex. Zbl 0933.46038 Bianchini, Stefano; Mariconda, C. 1 1999 Two dimensional zonoids and Chebyshev measures. Zbl 0885.28007 Bianchini, Stefano; Cerf, Raphaël; Mariconda, Carlo 2 1997 all cited Publications top 5 cited Publications all top 5 Cited by 774 Authors 37 Bianchini, Stefano 22 Colombo, Rinaldo M. 20 Cavalletti, Fabio 13 Marconi, Elio 12 Bressan, Alberto 12 Caravenna, Laura 12 Crippa, Gianluca 11 Spinolo, Laura V. 10 Christoforou, Cleopatra C. 10 El Hajj, Ahmad 9 Bonicatto, Paolo 9 Modena, Stefano 9 Shen, Wen 9 Wang, Yi 8 Chen, Gui-Qiang G. 8 Dafermos, Constantine 8 Herty, Michael Matthias 8 Kawashima, Shuichi 8 LeFloch, Philippe Gerard 8 Mondino, Andrea 8 Natalini, Roberto 8 Ruggeri, Tommaso 8 Vasseur, Alexis F. 8 Yang, Tong 7 Ancona, Fabio 7 Bianchini, Roberta 7 Garavello, Mauro 7 Nguyen, Khai T. 7 Qu, Peng 7 Vauchelet, Nicolas 6 Alberti, Giovanni 6 Amadori, Debora 6 Crin-Barat, Timothée 6 Guerra, Graziano 6 Mishra, Siddhartha 6 Turpault, Rodolphe 5 Coclite, Giuseppe Maria 5 Fjordholm, Ulrik Skre 5 Ghoshal, Shyam Sundar 5 Jiang, Zaihong 5 Junca, Stéphane 5 Lagoutière, Frédéric 5 Li, Yachun 5 Lu, Yunguang 5 Peng, Yuejun 5 Rosini, Massimiliano Daniele 5 Tadmor, Eitan 5 Xu, Jiang 4 Ambrosio, Luigi 4 Berthon, Christophe 4 Danchin, Raphaël 4 De Nitti, Nicola 4 Goffi, Alessandro 4 Gosse, Laurent 4 Hong, John Meng-Kai 4 Hua, Jiale 4 Jabin, Pierre-Emmanuel 4 Jana, Animesh 4 Kang, Moon-Jin 4 Liu, Cunming 4 Ma, Shixiang 4 Marson, Andrea 4 Tse, Oliver 4 Wang, Yong 4 Zhao, Huijiang 3 Abreu, Eduardo 3 Al Zohbi, Maryam 3 Banda, Mapundi Kondwani 3 Beiglböck, Mathias 3 Chou, Shih-Wei 3 Ciampa, Gennaro 3 Cirant, Marco 3 Corli, Andrea 3 Crasta, Graziano 3 Daneri, Sara 3 De Lellis, Camillo 3 Delarue, François 3 Elling, Volker W. 3 Frankowska, Hélène 3 Freistühler, Heinrich 3 Geng, Yongcai 3 Glass, Olivier 3 Goatin, Paola 3 Groli, Alessandro 3 Guermond, Jean-Luc 3 Gwiazda, Piotr 3 Huang, Feimin 3 Huang, Xiantao 3 James, François 3 Jenssen, Helge Kristian 3 Klar, Axel 3 Li, Yeping 3 Lim, Tongseok 3 Liu, Tai-Ping 3 Luo, Tao 3 Mascia, Corrado 3 McCann, Robert J. 3 Mitrovic, Darko 3 Neves, Wladimir 3 Novotný, Antonín ...and 674 more Authors all top 5 Cited in 179 Serials 68 Journal of Differential Equations 44 Archive for Rational Mechanics and Analysis 30 Journal of Hyperbolic Differential Equations 29 Journal of Mathematical Analysis and Applications 22 SIAM Journal on Mathematical Analysis 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Calculus of Variations and Partial Differential Equations 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Quarterly of Applied Mathematics 12 Communications in Partial Differential Equations 11 Communications in Mathematical Physics 11 Discrete and Continuous Dynamical Systems 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Computational Physics 9 Journal of Functional Analysis 9 Nonlinear Analysis. Real World Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Advances in Mathematics 7 Inventiones Mathematicae 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Communications on Pure and Applied Analysis 6 Communications on Pure and Applied Mathematics 6 Proceedings of the American Mathematical Society 6 Chinese Annals of Mathematics. Series B 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Evolution Equations 5 Journal of Mathematical Physics 5 Nonlinearity 5 Mathematische Annalen 5 Bulletin of the Brazilian Mathematical Society. New Series 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Kinetic and Related Models 4 Applicable Analysis 4 Mathematical Methods in the Applied Sciences 4 Mathematics of Computation 4 BIT 4 Manuscripta Mathematica 4 Revista Matemática Iberoamericana 4 Journal of Mathematical Sciences (New York) 4 NoDEA. Nonlinear Differential Equations and Applications 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Annals of PDE 3 Mathematische Zeitschrift 3 Memoirs of the American Mathematical Society 3 Ricerche di Matematica 3 Transactions of the American Mathematical Society 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematics Letters 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Journal of Nonlinear Science 3 Computational Optimization and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Networks and Heterogeneous Media 3 Advances in Calculus of Variations 3 Analysis & PDE 3 Science China. Mathematics 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Israel Journal of Mathematics 2 Journal of Statistical Physics 2 Applied Mathematics and Computation 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Optimal Control Applications & Methods 2 Zeitschrift für Analysis und ihre Anwendungen 2 Physica D 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing 2 The Journal of Geometric Analysis 2 SIAM Journal on Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 Potential Analysis 2 Bernoulli 2 Mathematical Problems in Engineering 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications in Contemporary Mathematics 2 Portugaliae Mathematica. Nova Série 2 Analysis and Applications (Singapore) 2 Acta Numerica 2 Oberwolfach Reports 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis and Geometry in Metric Spaces 2 EMS Surveys in Mathematical Sciences 2 Pure and Applied Analysis 1 Advances in Applied Probability 1 Computers and Fluids 1 General Relativity and Gravitation 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Mathematical Notes 1 Theoretical and Computational Fluid Dynamics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Automatica ...and 79 more Serials all top 5 Cited in 42 Fields 525 Partial differential equations (35-XX) 177 Fluid mechanics (76-XX) 107 Calculus of variations and optimal control; optimization (49-XX) 85 Numerical analysis (65-XX) 44 Measure and integration (28-XX) 43 Differential geometry (53-XX) 29 Mechanics of deformable solids (74-XX) 28 Probability theory and stochastic processes (60-XX) 27 Dynamical systems and ergodic theory (37-XX) 26 Functional analysis (46-XX) 26 Statistical mechanics, structure of matter (82-XX) 24 Ordinary differential equations (34-XX) 24 Operations research, mathematical programming (90-XX) 21 Real functions (26-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Systems theory; control (93-XX) 9 Operator theory (47-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Approximations and expansions (41-XX) 6 Biology and other natural sciences (92-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 5 Relativity and gravitational theory (83-XX) 4 Quantum theory (81-XX) 4 Astronomy and astrophysics (85-XX) 4 Geophysics (86-XX) 3 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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