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Dr. Mohammad Shahrouzi

(Ferdowsi University of Mashhad)
  • Mathematics
  • shahrouzi@um.ac.ir
  • Scimet

About Me

Research Focus:

  • Partial Differential Equations (PDEs)

  • Inverse Problems

  • Current Specialization: PDEs and inverse problems involving variable exponent nonlinearities.

Key Contributions:

  • Development of analytical and numerical methods for nonlinear PDEs with variable exponents.

  • Theoretical and applied investigations of inverse problems in heterogeneous media.

Collaboration Interests:
Interested in interdisciplinary collaborations at the intersection of PDE theory, applied analysis, and computational mathematics, particularly in modeling phenomena with non-standard nonlinearities.

 

Education:

   Bachelor of Science: Pure Mathematics 2003-2007

Ferdowsi University of Mashhad, Iran.

 

  Master of Science: Applied Mathematics 2008-2010

Shiraz University, Shiraz, Iran.

 

  Ph. D. (Doctor of Philosophy): Applied Mathematics 2010-2013

Shiraz University, Shiraz, Iran.

 

List of Publications:

1. Mohammad Shahrouzi, Faramarz Tahamtani, Global nonexistence and stability of solutions of inverse problems for a class of Petrovsky systems, Georgian Mathematical Journal, 19, 575—586, (2012).

2. Faramarz Tahamtani, Mohammad Shahrouzi, Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term, Boundary Value Problems, 2012:50, 1—15, (2012).

3. Faramarz Tahamtani, Mohammad Shahrouzi, Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition, Mathematical Methods in the Applied Sciences, 36, 829—839, (2013).

4. Mohammad Shahrouzi, Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy, Journal of Partial Differential Equations, 27(4), 347—356, (2014).

5. Mohammad Shahrouzi, On the Petrovsky Inverse Problem with Memory Term and Nonlinear Boundary Feedback, Iranian Journal of Science and Technology, 39(A1), 45—50, (2015).

6. Mohammad Shahrouzi, On Behavior of Solutions to a Class of Nonlinear Hyperbolic Inverse Source Problem, Acta Mathematica Sinica (English Series), 32(6), 683—698, (2016).

7. Mohammad Shahrouzi, Asymptotic stability and blowup of solutions for a class of viscoelastic inverse problem with boundary feedback, Mathematical Methods in the Applied Sciences, 39, 2368—2379, (2016).

8. Mohammad Shahrouzi, Blow-up analysis for a class of higher-order viscoelastic inverse problem with positive initial energy and boundary feedback, Annali di Mathematica, 196, 1877—1886, (2017).

9. Mohammad Shahrouzi, On behaviour of solutions for a nonlinear viscoelastic equation with variable-exponent nonlinearities, Computers and Mathematics with Applications,
75, 3946—3956, (2018).

10. Mohammad Shahrouzi, General decay and blow-up results for nonlinear fourth-order integro-differential equation, Indian Journal of Pure and Applied Mathematics, 49(4), 1—14, (2018).

11. Mohammad Shahrouzi, Blow up of Solutions to a Class of Damped Viscoelastic Inverse Source Problem, Differential Equations and Dynamical Systems, 28, 889—899, (2020).

12. Mohammad Shahrouzi, Global nonexistence of solutions for a class of viscoelastic Lame' system, Indian Journal of Pure and Applied Mathematics, 51(4), 1383-1397, (2020).

13. Mohammad Shahrouzi, Firouzeh Kargarfard, Blow up of solutions for a Kirchhoff type equation with variable-exponent nonlinearities, Journal of Applied Analysis, 27(1), 97-105, (2021).

14. Stanislav Antontsev, Jorge Ferreira, Erhan Piskin, Hazal Yuksekkaya, Mohammad Shahrouzi, Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equation with delay term and variable exponents, Electronic Journal of Differential Equations, 2021(84), 1-20, (2021).

15. Mohammad Shahrouzi, Blow up of solutions for an r(x)-Laplacian Lame' equation with nonlinearities and arbitrary initial energy level, International Journal of Nonlinear Analysis and Applications, 1(13), 441—450, (2022).

16. Mohammad Shahrouzi, General decay and blow up of solutions for a class of inverse problem with elasticity term and variable-exponent nonlinearities, Mathematical Methods in the Applied Sciences, 45(4), 1864—1878, (2022).

17. Erhan Piskin, Hazal Yuksekkaya, Jorge Ferreira, Mohammad Shahrouzi, Existence and asymptotic behavior for a logarithmic viscoelastic plate equation with distributed delay, International Journal of Nonlinear Analysis and Applications, 13(2), 763—788, (2022).

18. Mohammad Shahrouzi, A Study on the Blow-up of Solutions for a Lame' System of Inverse Problem, Kragujevac Journal of Mathematics, 49(1), 81—92, (2025).

19. Mohammad Shahrouzi, Jorge Ferreira, A nonlinear r(x)-Kirchhoff type hyperbolic equation: Stability result and blow up of solutions with positive initial energy, Communications in Advanced Mathematical Sciences, 4(4), 208—216, (2021).

20. Jorge Ferreira, Erhan Piskin, Mohammad Shahrouzi, Sebastiao Cordeiro, Daniel V. Rocha, Global and local existence of solution for fractional heat equation in R^N by Balakrishnan definition, Mathematica Moravica, 26(1), 89—101, (2022).

21. Jorge Ferreira, Erhan Piskin, Carlos Raposo, Mohammad Shahrouzi, Hazal Yuksekkaya, Stability result for a Kirchhoff beam equation with variable exponent and time delay, Universal Journal of Mathematics and Applications, 5(1), 1—9, (2022).

22. Jorge Ferreira, Erhan Piskin, Mohammad Shahrouzi, Carlos Raposo, Global existence of weak solutions for a p-Laplacian inequality with strong dissipation in noncylindrical domain, Electronic Journal of Differential Equations, 2022(09), 1—13, (2022).

23. Jorge Ferreira, Willian dos Santos Panni, Salim A. Messaoudi, Erhan Piskin, Mohammad Shahrouzi, Asymptotic Behavior of Beam-Equation Solutions with Strong Damping and p(x)-Biharmonic Operator, Journal of Mathematical Physics, Analysis, Geometry, Vol. 18, No. 4, pp. 488--513, (2022).

24. Jorge Ferreira, Mohammad Shahrouzi, J. P. Andrade, W. S. Panni, Existence of solutions of Navier-Stokes equations, in 2D, with non-local viscosity, Nonlinear Studies, 29(1), 97—110, (2022).

25. Jorge Ferreira, Nazli Irkil, Erhan Piskin, Carlos Raposo, Mohammad Shahrouzi, Blow up of solutions for a Petrovsky type equation with logarithmic nonlinearity, Bulletin of the Korean Mathematical Society, 59(6), 1495—1510, (2022).

26. Mohammad Shahrouzi, Exponential growth of solutions for a variable-exponent fourth-order viscoelastic equation with nonlinear boundary feedback, Facta Universitatis series: Mathematics and Informatics, 37(3), 507—520, (2022).

27. Hazal Yuksekkaya, Erhan Piskin, Jorge Ferreira, Mohammad Shahrouzi, A viscoelastic wave equation with delay and variable-exponents: Existence and nonexistence, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), (2022). https://doi.org/10.1007/s00033-022-01776-y

28. Mohammad Shahrouzi, Jorge Ferreira, Erhan Piskin, Stability result for a variable-exponent viscoelastic double-Kirchhoff type inverse source problem with nonlocal degenerate damping term, Ricerche di Matematica, (2022). https://doi.org/10.1007/s11587-022-00713-5

29. Jorge Ferreira, J. P. Andrade, W. S. Panni, Mohammad Shahrouzi, Strong and periodic solutions of Navier-Stokes equations, in 2D, with non-local viscosity, Open Journal of Mathematical Analysis, 6(1), 62—69, (2022).

30. Jorge Ferreira, W. S. Panni, Erhan Piskin, Mohammad Shahrouzi, Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator, Mathematica Moravica, 26(2), 123—145, (2022).

31. Mohammad Shahrouzi, Jorge Ferreira, Erhan Piskin, Nouri Boumaza, Blow-up analysis for a class of plate viscoelastic p(x)-Kirchhoff type inverse source problem with variable-exponent nonlinearities, Siberian Electronic Mathematical Reports, 19(2), 912—934, (2022).

32. Jorge Ferreira, Mohammad Shahrouzi, Sebastiao Cordeiro, Daniel V. Rocha, Blow up of solution for a nonlinear viscoelastic problem with internal damping and logarithmic source term, Journal of Mathematics, Mechanics and Computer Science, 116(4), 15—24, (2022).

33. Mohammad Shahrouzi, Jorge Ferreira, Erhan Piskin, Existence, asymptotic stability and blow-up results for a variable-exponent viscoelastic double-Kirchhoff-type wave equation, International Journal of Nonlinear Analysis and Applications, 15(2), 95—114, (2024). https://doi.org/10.22075/ijnaa.2023.28975.4034

34. Mohammad Shahrouzi, Jorge Ferreira, Erhan Piskin, Khaled Zennir, On the behavior of solutions for a class of nonlinear viscoelastic fourth-order p(x)-Laplacian equation, Mediterranean Journal of Mathematics, 20(214), 1—28, (2023). https://doi.org/10.1007/s00009-023-02423-0

35. Mohammad Shahrouzi, Jorge Ferreira, Faramarz Tahamtani, Global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic plate equation involving (p(x),q(x))-Laplacian operator, Zeitschrift für Analysis und ihre Anwendungen (ZAA), 42(1/2), 91—115, (2023). https://doi.org/10.4171/ZAA/1722

36. Faramarz Tahamtani, Mohammad Shahrouzi, Global existence and general decay results for a quasi-linear weak-viscoelastic parabolic system, Applied Mathematics E-Notes, 23(2023), 360—369, (2023).

37. Mohammad Shahrouzi, Faramarz Tahamtani, Jorge Ferreira, Mirelson M. Freitas, Blow-up results for a Boussinesq-type plate equation with logarithmic damping term and variable-exponent nonlinearities, Applicationes Mathematicae, 50(1), 81—96, (2023). https://doi.org/10.4064/am2470-6-2023

38. Jorge Ferreira, Erhan Piskin, Mohammad Shahrouzi, General decay and blow up of solutions for a plate viscoelastic p(x)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback, Quaestiones Mathematicae, 47(4), 813—830, (2024). https://doi.org/10.2989/16073606.2023.2256983

39. Jorge Ferreira, Mohammad Shahrouzi, S. E. Aitzhanov, Sebastiao Cordeiro and Daniel V. Rocha, Global existence and asymptotic behavior for a nonlinear viscoelastic problem with internal damping and logarithmic source term, Differential Equations and Applications, 15(4), 395—429, (2023). https://dx.doi.org/10.7153/dea-2023-15-20

40. Faramarz Tahamtani, Mohammad Shahrouzi, Jorge Ferreira, Global existence and general decay for a weak viscoelastic equation with acoustic boundary conditions and a logarithmic source term, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 74(207), 1—16, (2023). https://doi.org/10.1007/s00033-023-02106-6

41. Mohammad Shahrouzi, Asymptotic behavior of solutions for a nonlinear viscoelastic higher-order p(x)-Laplacian equation with variable-exponent logarithmic source term, Boletín de la Sociedad Matemática Mexicana, 29(77), 1—20, (2023). https://doi.org/10.1007/s40590-023-00551-x

42. Mohammad Shahrouzi, Jorge Ferreira, Faramarz Tahamtani, Coupled system of nonlinear viscoelastic plate equations of (p(x),q(x))-Kirchhoff-type: Global existence, general decay and blow-up, Mathematical Methods in the Applied Sciences, 47(4), 2472--2499, (2024). https://doi.org/10.1002/mma.9759

43. Sebastiao Cordeiro, Carlos Raposo, Jorge Ferreira, Daniel V. Rocha and Mohammad Shahrouzi, Local existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearity, Opuscula Mathematica, Vol. 44, No. 1, 19—47, (2024). https://doi.org/10.7494/OpMath.2024.44.1.19

44. Mohammad Shahrouzi, Faramarz Tahamtani, Existence and blow-up results for a weak-viscoelastic plate equation involving p(x)-Laplacian operator and variable-exponent nonlinearities, Indian Journal of Pure and Applied Mathematics, 1—17, (2023). https://doi.org/10.1007/s13226-023-00521-z

45. Carlos Alberto Nonato, Carlos Alberto Raposo, Mohammad Shahrouzi, Jorge Ferreira, Thermoelastic laminated beam with nonlocal delay, Boletín de la Sociedad Matemática Mexicana, 30(56), (2024).  https://doi.org/10.1007/s40590-024-00633-4

46. Mohammad Shahrouzi, Existence, decay and blow-up results for a plate viscoelastic equation with variable-exponent logarithmic terms, Filomat, 38(20), 1—15, (2024).

47. Abdelbaki Choucha, Mohammad Shahrouzi, Rashid Jan, Salah Boulaaras, Blow up of Solutions for a system of nonlocal singular viscoelastic equation with sources and distributed delay terms, Boundary Value Problems, 77 (2024), (2024). https://doi.org/10.1186/s13661-024-01888-6

48. Mohammad Shahrouzi, Salah Boulaaras, Rashid Jan, Global well-posedness of hyperbolic p(x)-biharmonic equation with singular dissipation and variable-exponent logarithmic source term, J. Pseudo-Differential Operators and Applications, 16(18) (2025).  https://doi.org/10.1007/s11868-025-00680-z

49. Faramarz Tahamtani, Mohammad Shahrouzi, The lifespan of solutions for a Boussinesq-type model, Mathematical Methods in the Applied Sciences, (2025), 1--14.  https://doi.org/10.1002/mma.11067

50. A. Choucha, M. Haiour, R. Jan, M. Shahrouzi, P. Agarwal, M. Abdalla,  Growth and blow-up of viscoelastic wave equation solutions with logarithmic source, acoustic and fractional conditions, and nonlinear boundary delay,  Discrete and Continuous Dynamical Systems - Series S, 1-21, (2025). https://doi.org/10.3934/dcdss.2025009

51. A. Choucha, S. Boulaaras, R. Jan, M. Shahrouzi, Growth and blow-up results for a viscoelastic wave equation with acoustic boundary conditions involving fractional conditions and nonlinear time-varying delay, J. Pseudo-Differential Operators and Applications, 16(29), (2025). https://doi.org/10.1007/s11868-025-00687-6

52. Mohammad Shahrouzi, Global existence and blow-up results for a nonlinear viscoelastic higher-order p (x)-Laplacian equation, International Journal of Nonlinear Analysis and Applications, 1—14, (2025).

53. Erhan Piskin, Hazal Yüksekkaya, Jorge Ferreira, Mohammad Shahrouzi, On the logarithmic Petrovsky equation with distributed delay: existence, decay, and blow up, Journal of Nonlinear Sciences and Applications, 18, 148—164, (2025).

54. Mohammad Shahrouzi, Faramarz Tahamtani, Salah Boulaaras, Global existence, general decay, and blow-up of solutions for a fourth-order viscoelastic equation with variable exponents and logarithmic nonlinearities, Communications in Analysis and
Mechanics, 18(1), 172-207, (2026). http://dx.doi.org/10.3934/cam.2026007

55. Erhan Piskin, Ayse Fidan, Jorge Ferreira, Mohammad Shahrouzi, Blow-up and global existence of solutions for a higher-order reaction diffusion equation with singular potential, CUBO, A Mathematical Journal, 28(1), 79—97, (2026).
https://doi.org/10.56754/0719-0646.2801.079

56. Fares Yazi, Salah Mahmoud Boulaaras, Mohammad Shahrouzi, Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay, Mathematical Modelling and Analysis, 31(2), 194—213, (2026).
https://doi.org/10.3846/mma.2026.24819

57. Faramarz Tahamtani, Mohammad Shahrouzi, Salah Boulaaras, Well-posedness and dynamical properties for a class of plate equation, Applicable Analysis, 105(4), 798—821, (2026). https://doi.org/10.1080/00036811.2025.2539931

58. Mohammad Shahrouzi, Zulal Misir, Well-Posedness and Blow-Up of Solutions to a p(x)-Laplacian Plate Equation With Variable-Exponent Nonlocal Damping and Logarithmic Source, Mathematical Methods in the Applied Sciences, Early-view,
(2026). https://doi.org/10.1002/mma.70730

59.  Mohammad Shahrouzi, Khalid Hammood Al-Jizani, Existence and blow up of solutions for a viscoelastic plate equation with variable-exponent nonlocal energy damping and nonlinear source terms, Journal of Pseudo-Differential Operators and Applications,
17(32), (2026). https://doi.org/10.1007/s11868-026-00778-y

60. Ali Krelifa, Imene Laribi, Djamel Ouchenane, Salah Boulaaras, Mohammad Shahrouzi, Strong stability results for a Timoshenko system with thermoelasticity and two fractional damping terms, Boundary Value Problems, 2026(17) (2026).
https://doi.org/10.1186/s13661-025-02197-2

61. Nouri Boumaza, Billel Gheraibia, Gongwei Liu, Mohammad Shahrouzi, Khaled Zennir, Qualitative analysis of a wave equation with Balakrishnan-Taylor damping and logarithmic source terms, Journal of Applied Analysis and Computation, Accepted, (2026).