GEDMyS

Richard De La Cruz, Neves, W. (2024). On a class of nonautonomous quasilinear systems with general time-gradually-degenerate damping. Journal of Differential Equations, 416(1) 52-81. doi: 10.1016/j.jde.2024.09.049.

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Abreu, E., Richard De La Cruz, Juan C. Juajibioy, Lambert, W (2024). Semi-discrete Lagrangian–Eulerian approach based on the weak asymptotic method for nonlocal conservation laws in several dimensions. Journal of Computational and Applied Mathematics, 458, 116325. doi: 10.1016/j.cam.2024.116325.

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Silva Barbosa, P. B. T., Rafael J. Álvarez (2024). Sufficient Conditions on the Continuous Spectrum for Ergodic Schrödinger Operators. Physica Scripta. X, XXX doi:10.1088/1402-4896/ad6ec2.

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Rafael J. Álvarez, Oliveira, M., Santana, E. (2024). Random expansive measures. Nonlinearity. 37, 095018 doi:10.1088/1361-6544/ad673f.

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Richard De La Cruz, Wang, X., Lu, Y. (2024). Riemann problem for a general variable coefficient Burgers equation with time-dependent damping. International Journal of Non-Linear Mechanics, 162, 104703. doi:10.1016/j.ijnonlinmec.2024.104703.

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Rafael J. Álvarez, Esmeral, K., Juan C. Juajibioy (2024). Teoría de la Medida. Notas de clase. Editorial UPTC. ISBN: 978-958-660-843-5.

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Arias Cantillo, R., Rafael J. Álvarez (2024). The Plykin and Solenoid attractor are homoclinic classes. Revista Colombiana de Matemáticas. 57, Supl, 91–102 doi:10.15446/recolma.v57nSupl.112450.

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Rafael J. Álvarez, Bioni, R., Lucena, R. (2023). Quantitative statistical stability for equilibrium states of piecewise partially hyperbolic maps. Discrete and Continuous Dynamical Systems. doi:10.3934/dcds.2023129.

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Wang, X., Lu, Y., Richard De La Cruz, You, G. (2023). Global Solutions to a Hydrodynamic Model for Semiconductors with Velocity Relaxation. Acta Mathematica Scientia, 43, 975-980. doi:10.1007/s10473-023-0226-0.

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Rodriguez, A. L., Alba, J. E., Juan C. Juajibioy (2022). Scaling property of the Glimm functional. International Journal of Applied Mathematics, 25(4), 555-565. doi:10.12732/ijam.v35i4.5.

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Rafael J. Álvarez, Ramos, V. (2022). Uniqueness and Stability of Equilibrium States for Random Non-uniformly Expanding Maps. Ergodic Theory and Dynamical Systems, 1-35. doi:10.1017/etds.2022.44.

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Abreu, E., Richard De La Cruz, Juan C. Juajibioy, Lambert, W. (2022). Lagrangian-Eulerian Approach for Nonlocal Conservation Laws. Journal of Dynamics and Differential Equations. doi:10.1007/s10884-022-10193-8.

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Lizarazo, V., Richard De La Cruz, Julio Lizarazo Osorio (2022). Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type. The Scientific World Journal, 2022. Art 5891265. doi:10.1155/2022/5891265.

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Rafael J. Álvarez (2022). Expanding measure has nonuniform specification property on random dynamical system. Chaos, Solitons and Fractals, 158, Art. 112009. doi:10.1016/j.chaos.2022.112009.

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Richard De La Cruz, Juan C. Juajibioy, Rendón, L. (2022). El problema de Riemann para leyes de conservación. Editorial UPTC. ISBN: 978-958-660-648-6.

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Richard De La Cruz, Juan C. Juajibioy (2022). Vanishing viscosity limit for Riemann solutions to a 2×2 hyperbolic system with linear damping. Asymptotic Analysis, 127(3), 275-296. doi:10.3233/ASY-211690.

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Richard De La Cruz, Juan C. Juajibioy (2021). Delta Shock Solution for a Generalized Zero-Pressure Gas Dynamics System with Linear Damping. Acta Applicandae Mathematicae, 177, 1 . doi:10.1007/s10440-021-00463-w.

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Abreu, E., Richard De La Cruz, Lambert, W. (2021). Riemann problems and delta-shock solutions for a Keyfitz-Kranzer system with a forcing term. Journal of Mathematical Analysis and Applications, 502(2), Art. 125267. doi:10.1016/j.jmaa.2021.125267.

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Lu, Y., Wang, X., Richard De La Cruz (2021). Cauchy problem for isothermal system in a general nozzle with space-dependent friction. AIMS Mathematics, 6(6), 6482-6489. doi:10.3934/math.2021381.

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Richard De La Cruz, Santos, M. M., Abreu, E. (2021). Interaction of delta shock waves for a nonsymmetric Keyfitz–Kranzer system of conservation laws. Monatshefte für Mathematik, 194, 737–766. doi:10.1007/s00605-021-01524-w.

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Juan C. Juajibioy (2021). On the Cauchy problem for Aw-Rascle system with linear damping. Acta Mathematica Scientia, 41, 311-318. doi:10.1007/s10473-021-0118-0.

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Rafael J. Álvarez, Bioni, R., Lucena, R. (2020). Hölder Regularity and Exponential Decay of Correlations for a class of Piecewise Partially Hyperbolic Maps. Nonlinearity, 33(12), 6790. doi:10.1088/1361-6544/aba888.

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Richard De La Cruz (2020). Riemann Problem for a 2x2 Hyperbolic System with Linear Damping. Acta Applicandae Mathematicae, 170, 631-647. doi:10.1007/s10440-020-00350-w.

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Sergio A. Pérez, Rincón-Villamizar, M. A. (2019). Copies of c_0(Γ) in the space of bounded linear operators. Archiv der Mathematik, 112, 623–631. doi:10.1007/s00013-018-01296-0.

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Richard De La Cruz, Juan C. Juajibioy, Rendón, L. (2018). Generalized Riemann problem for a totally degenerate hyperbolic system. Electronic Journal of Differential Equations, 196, 1-14.

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Richard De La Cruz, Santos, M. (2018). Delta shock waves for a system of Keyfitz‐Kranzer type. Zeitschrift für Angewandte Mathematik und Mechanik, 99(3), e201700251. doi:10.1002/zamm.201700251.

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Sergio A. Pérez (2018). Complemented subspaces of homogeneous polynomials. Revista Matematica Complutense, 31, 153-161. doi:10.1007/s13163-017-0240-7.

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Cano R., Rendón L., Juan C. Juajibioy (2018). A note on Hölder estimates of solutions to a degenerate diffusion equation. International Journal of Mathematical Analysis, 12(9), 413-423. doi:10.12988/ijma.2018.8751.

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Rafael J. Álvarez, Oliveira, K (2017). Maximizing entropy measures for random dynamical systems. Stochastics and Dynamics, 17(5), 1750032. doi:10.1142/S0219493717500320.

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Sergio A. Pérez (2017). On the reflexivity of P_w(nE;F). Archiv der Mathematik, 109, 471–475. doi:10.1007/s00013-017-1084-6.

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Juan C. Juajibioy, Richard De La Cruz (2017). Global weak solutions for a 2X2 balance non-symmetric system of Keyfitz-Kranzer type. Ciencia en Desarrollo, 8(1), 28-33. doi:10.19053/01217488.v8.n1.2017.4753.

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Sergio A. Pérez (2017). Banach spaces of linear operators and homogeneous polynomials without the approximation property. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 111, 855-862. doi:10.1007/s13398-016-0335-x.

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Cortissoz, J. C., Julio A. Montero (2016). Lower Bounds for Possible Singular Solutions for the Navier–Stokes and Euler Equations Revisited. Journal of Mathematical Fluid Mechanics, 20, 1–5. doi:10.1007/s00021-016-0308-z.

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Juan C. Juajibioy (2016). Study of University Dropout Reason Based on Survival Model. Open Journal of Statistics, 6(5), 908-916. doi:10.4236/ojs.2016.65075.

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Richard De La Cruz, Galvis, J., Juan C. Juajibioy, Rendón L. (2016). Delta shock wave for a 3x3 hyperbolic system of conservation laws. Bulletin of the Brazilian Mathematical Society, New Series, 47, 277–290. doi:10.1007/s00574-016-0138-x.

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Hernandez-Sastoque E., Klingenberg C., Rendón L., Juan C. Juajibioy (2016). Regularity of Viscous Solutions for a Degenerate Non-linear Cauchy Problem. Journal of Partial Differential Equations, 29(1), 14-21. doi:10.4208/jpde.v29.n1.2.

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Yandar, M. A., Richard De La Cruz (2015). Aproximación numérica a la propagación de ondas de tsunami y caso de estudio en la costa Caribe Colombiana. Boletín de Matemáticas, 22(2), 135-149.

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Richard De La Cruz, Juan C. Juajibioy (2015). On the Riemann Problem for a Hyperbolic System of Temple Class. In: Tost G., Vasilieva O. (eds) Analysis, Modelling, Optimization, and Numerical Techniques. Springer Proceedings in Mathematics & Statistics, vol 121. Springer. ISBN: 978-3-319-12583-1. doi:10.1007/978-3-319-12583-1_5.

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Richard De La Cruz, Juan C. Juajibioy, Rendón L. (2014). Asymptotic Behavior of Global Entropy Solutions for Nonstrictly Hyperbolic Systems with Linear Damping. International Journal of Differential Equations, 2014, Art. 383254. doi:10.1155/2014/383254.

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Richard De La Cruz, Galvis, J., Juan C. Juajibioy, Rendón L. (2014). Delta Shock Wave for the Suliciu Relaxation System. Advances in Mathematical Physics, 2014, Art. 354349. doi:10.1155/2014/354349.

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Cortissoz, J. C., Julio A. Montero, Pinilla, C.E. (2014). On lower bounds for possible blow-up solutions to the periodic Navier-Stokes equation. Journal of Mathematical Physics, 55(3), Art. 033101. doi:10.1063/1.4867616.

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Richard De La Cruz, Juan C. Juajibioy, Rendón L. (2014). Relaxation Limit for Aw-Rascle System. Journal of Partial Differential Equations, 27(2), 166-175. doi:10.4208/jpde.v27.n2.7.

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Richard De La Cruz, Juan C. Juajibioy, Rendón L. (2014). The non-compactness embeddings of the radial Sovolev spaces H. International Journal of Applied Mathematics, 27(2), 171-177. doi:10.12732/ijam.v27i2.7.

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Sergio A. Pérez (2013). Funciones inducidas conexas. Revista Integración, 31(2), 121-132.

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Klingenberg, C., Julio A. Montero, Rendón, L. (2013). Compensated compactness for a hyperbolic system of balance laws with three equations. Boletín de Matemáticas, 20(1), 13-20.

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Richard De La Cruz (2010). Derivación, el teorema de Rolle y del valor Medio para funciones de una Variable Compleja. Revista Sigma, 10(1), 32-37.

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Richard De La Cruz (2009). Buen planteamiento local para una modificación de la ecuación Korteweg-De Vries. Revista Sigma, 9(2), 12-16.

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