Associate Professor
Research Interest
Differential Equations, Dynamical Systems, Fluid Dynamics, Mathematical Physics, Harmonic Analysis, Stochastic Differential Equations, Inverse Problems
Education | Ph.D in Mathematics Instituto de Matemática Pura e Aplicada |
Dec. 2008 Rio de Janeiro, Brazil |
M.Sc. in Mathematics Sharif University Of Technology |
Sep. 2003 Tehran, Iran |
|
B.Sc. in Mathematics Damghan University |
2000 Damghan, Iran |
Esfahani, A.
Existence of solutions for a fractional equation in an unbounded domain
(2020) Journal of Mathematical Physics, 61 (3), art. no. 031505, .
Wang, H., Esfahani, A.
On the Well-Posedness of the Dissipative Kadomtsev–Petviashvili Equation
(2020) Mathematical Notes, 107 (1-2), pp. 333-344.
Wang, H., Esfahani, A.
Well-posedness and asymptotic behavior of the dissipative ostrovsky equation
(2019) Evolution Equations and Control Theory, 8 (4), pp. 709-735.
Mohammadi, H.B., Esfahani, A.
Blowup and decay behavior of solutions to the generalized Boussinesq-type equation with strong damping
(2019) Mathematical Methods in the Applied Sciences, 42 (8), pp. 2854-2876.
Esfahani, A.
Existence of solutions of a class of nonlinear nonlocal problems involving the potential
(2019) Chaos, Solitons and Fractals, 119, pp. 1-7.
Esfahani, A., Levandosky, S.
Symmetry of the KP-type solitary waves
(2019) Proceedings of the American Mathematical Society, 147 (9), pp. 3867-3875.
Wang, H., Esfahani, A.
Well-posedness result for the Ostrovsky, Stepanyams and Tsimring equation at the critical regularity
(2018) Nonlinear Analysis: Real World Applications, 44, pp. 347-364.
Esfahani, A., Levandosky, S.
Solitary waves of a coupled KdV system with a weak rotation
(2018) Journal of Differential Equations, 265 (10), pp. 4835-4872.
Esfahani, A., Esfahani, S.E.
Positive and nodal solutions of the generalized BO-ZK equation
(2018) Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales – Serie A: Matematicas, 112 (4), pp. 1381-1390.
Esfahani, A., Pastor, A.
Two dimensional solitary waves in shear flows
(2018) Calculus of Variations and Partial Differential Equations, 57 (4), art. no. 102, .
ESFAHANI, A.
Three nontrivial solutions for a nonlinear anisotropic nonlocal equation
(2018) Acta Mathematica Scientia, 38 (4), pp. 1296-1310.
Esfahani, A.
Liouville-type theorem for a nonlocal operator on the half plane
(2018) Monatshefte fur Mathematik, 186 (3), pp. 439-452.
Carvajal, X., Esfahani, A., Panthee, M.
Well-Posedness Results and Dissipative Limit of High Dimensional KdV-Type Equations
(2017) Bulletin of the Brazilian Mathematical Society, 48 (4), pp. 505-550.
Esfahani, A., Mohammadi, H.B.
Global Existence and Asymptotic Behavior of Solutions for the Cauchy Problem of a Dissipative Boussinesq-Type Equation
(2017) Mathematical Modelling and Analysis, 22 (4), pp. 441-463.
Esfahani, A.
Qualitative properties of solutions of an integral equation associated with the Benjamin–Ono–Zakharov–Kuznetsov operator
(2017) Indagationes Mathematicae, 28 (2), pp. 601-611.
Esfahani, A., Pastor, A.
Sharp Constant of an Anisotropic Gagliardo–Nirenberg-Type Inequality and Applications
(2017) Bulletin of the Brazilian Mathematical Society, 48 (1), pp. 171-185.
Esfahani, A., Levandosky, S.
Stability of solitary waves of the kadomtsev{petviashvili equation with a weak rotation
(2017) SIAM Journal on Mathematical Analysis, 49 (6), pp. 5096-5133.
Esfahani, A.
Anisotropic Gagliardo–Nirenberg inequality with fractional derivatives
(2015) Zeitschrift fur Angewandte Mathematik und Physik, 66 (6), pp. 3345-3356.
Esfahani, A., Pastor, A., Bona, J.L.
Stability and decay properties of solitary-wave solutions to the generalized BO-ZK equation
(2015) Advances in Differential Equations, 20 (9-10), pp. 801-834.
Wang, H., Esfahani, A.
Global rough solutions to the sixth-order Boussinesq equation
(2014) Nonlinear Analysis, Theory, Methods and Applications, 102, pp. 97-104.
Esfahani, A.
Instability of the stationary solutions of generalized dissipative Boussinesq equation
(2014) Applications of Mathematics, 59 (3), pp. 345-358.
Esfahani, A., Pourgholi, R.
Well-posedness of the ADMB-KdV equation in Sobolev spaces of negative indices
(2014) Acta Mathematica Vietnamica, 39 (2), pp. 237-251.
Esfahani, A., Wang, H.
A bilinear estimate with application to the sixth-order Boussinesq equation
(2014) Differential and Integral Equations, 27 (5-6), pp. 401-414.
Esfahani, A., Pourgholi, R.
Dynamics of Solitary Waves of the Rosenau-RLW Equation
(2014) Differential Equations and Dynamical Systems, 22 (1), pp. 93-111.
Pourgholi, R., Esfahani, A., Kumar, S.
A numerical algorithm for solving an inverse semilinear wave problem
(2014) International Journal of Computing Science and Mathematics, 5 (1), pp. 1-15.
Esfahani, A.
Sharp well-posedness of the Ostrovsky, Stepanyams and Tsimring equation
(2013) Mathematical Communications, 18 (2), pp. 323-335.
Esfahani, A., Pourgholi, R.
The ADMB-KdV equation in a time-weighted space
(2013) Annali dell’Universita di Ferrara, 59 (2), pp. 269-283.
Esfahani, A.
Scattering of solutions and stability of solitary waves for the generalized BBM-ZK equation
(2013) Communications in Mathematical Sciences, 12 (2), pp. 293-315.
Pourgholi, R., Esfahani, A., Foadian, S., Parehkar, S.
Resolution of an inverse problem by haar basis and legendre wavelet methods
(2013) International Journal of Wavelets, Multiresolution and Information Processing, 11 (5), art. no. 1350034, .
Wang, H., Esfahani, A.
Well-posedness for the Cauchy problem associated to a periodic Boussinesq equation
(2013) Nonlinear Analysis, Theory, Methods and Applications, 89, pp. 267-275.
Pourgholi, R., Esfahani, A.
An efficient numerical method for solving an inverse wave problem
(2013) International Journal of Computational Methods, 10 (3), art. no. 1350009, .
Pourgholi, R., Esfahani, A., Abtahi, M.
A numerical solution of a two-dimensional IHCP
(2013) Journal of Applied Mathematics and Computing, 41 (1-2), pp. 61-79.
Esfahani, A., Levandosky, S.
Solitary waves of the rotation-generalized benjamin-ono equation
(2013) Discrete and Continuous Dynamical Systems- Series A, 33 (2), pp. 663-700.
Pourgholi, R., Esfahani, A., Dana, H.
Real valued genetic algorithm for solving an inverse hyperbolic problem: Multi-core parallelisation approach
(2013) International Journal of Mathematical Modelling and Numerical Optimisation, 4 (4), pp. 410-424.
Pourgholi, R., Esfahani, A., Rahimi, H., Tabasi, S.H.
Solving an inverse initial-boundary-value problem using basis function method
(2013) Computational and Applied Mathematics, 32 (1), pp. 27-40.
Esfahani, A.
Cauchy problem for a model of nonlinear waves generated in viscous films
(2012) Mathematical Methods in the Applied Sciences, 35 (16), pp. 1931-1950.
Solaymani Fard, O., Esfahani, A., Vahidian Kamyad, A.
On solution of a class of fuzzy BVPs
(2012) Iranian Journal of Fuzzy Systems, 9 (1), pp. 49-60.
Esfahani, A., Farah, L.G., Wang, H.
Global existence and blow-up for the generalized sixth-order Boussinesq equation
(2012) Nonlinear Analysis, Theory, Methods and Applications, 75 (11), pp. 4325-4338.
Esfahani, A.
The Cauchy problem for the dissipation-modified Kadomtsev-Petviashvili equation
(2012) Journal of Mathematical Analysis and Applications, 390 (2), pp. 439-455.
Esfahani, A., Levandosky, S.
Stability of Solitary Waves for the Generalized Higher-Order Boussinesq Equation
(2012) Journal of Dynamics and Differential Equations, 24 (2), pp. 391-425.
Esfahani, A.
Remarks on a two dimensional bbm type equation
(2012) Communications on Pure and Applied Analysis, 11 (3), pp. 1111-1127.
Esfahani, A., Farah, L.G.
Local well-posedness for the sixth-order Boussinesq equation
(2012) Journal of Mathematical Analysis and Applications, 385 (1), pp. 230-242.
Esfahani, A., Pastor, A.
On the unique continuation property for Kadomtsev-Petviashvili-I and Benjamin-Ono-Zakharov-Kuznetsov equations
(2011) Bulletin of the London Mathematical Society, 43 (6), pp. 1130-1140.
Esfahani, A.
Remarks on solitary waves of the generalized two dimensional Benjamin-Ono equation
(2011) Applied Mathematics and Computation, 218 (2), pp. 308-323.
Esfahani, A.
Solitary wave solutions for generalized Rosenau-KdV equation
(2011) Communications in Theoretical Physics, 55 (3), pp. 396-398.
Esfahani, A.
Traveling wave solutions for generalized bretherton equation
(2011) Communications in Theoretical Physics, 55 (3), pp. 381-386.
Esfahani, A.
Instability of solitary waves of the generalized higher-order KP equation
(2011) Nonlinearity, 24 (3), pp. 833-846.
Esfahani, A.
Solitary waves for the perturbed nonlinear KleinGordon equation
(2011) Applied Mathematics Letters, 24 (2), pp. 204-209.
Esfahani, A.
On the ZK equation with a directional dissipation
(2011) Applied Mathematics and Computation, 217 (10), pp. 4911-4927.
Esfahani, A., Pastor, A.
Ill-posedness results for the (generalized) benjamin-ono-zakharov-kuznetsov equation
(2011) Proceedings of the American Mathematical Society, 139 (3), pp. 943-956.
Esfahani, A.
Decay properties of the traveling waves of the rotation-generalized Kadomtsev-Petviashvili equation
(2010) Journal of Physics A: Mathematical and Theoretical, 43 (39), art. no. 395201, .
Esfahani, A.
On the generalized Kadomtsev-Petviashvili equation with generalized evolution and variable coefficients
(2010) Physics Letters, Section A: General, Atomic and Solid State Physics, 374 (35), pp. 3635-3645.
Esfahani, A., Pastor, A.
Instability of solitary wave solutions for the generalized BO-ZK equation
(2009) Journal of Differential Equations, 247 (12), pp. 3181-3201.
Esfahani, A.
On the Benney equation
(2009) Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 139 (6), pp. 1121-1144.
BS
- MATH 162 – Calculus II
- MATH 274 – Introduction to Differential Equations
PhD
- MATH 722 – Advanced Partial Differential Equations